R. Teixeira Lima - The LHC Higgs Cross Section Working Group

R. Teixeira Lima
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R. Teixeira Lima
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The LHC Higgs Cross Section Working Group
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Physics - Plasma Physics (8)
 
Nonlinear Sciences - Chaotic Dynamics (7)
 
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Publications Authored By R. Teixeira Lima

The non-Markovian nature of quantum systems recently turned to be a key subject for investigations on open quantum system dynamics. Many studies, from its theoretical grounding to its usefulness as a resource for quantum information processing and experimental demonstrations, have been reported in the literature. Typically, in these studies, a structured reservoir is required to make non-Markovian dynamics to emerge. Read More

In the present article we study the process of particle creation for Elko spinor fields as a consequence of expansion of the universe. We study the effect driven by a expanding background that is asymptotically minkowskian in the past and future. The differential equation that governs the time mode function is obtained for the conformal coupling case and, although its solution is non-analytic, within an approximation that preserves the characteristics of the terms that break the analyticity, analytic solutions are obtained. Read More

We investigate the possibility that some SGRs/AXPs could be canonical rotation-powered pulsars using realistic NS structure parameters instead of fiducial values. We show that realistic NS parameters lowers the estimated value of the magnetic field and radiation efficiency, $L_X/\dot{E}_{\rm rot}$, with respect to estimates based on fiducial NS parameters. We show that nine SGRs/AXPs can be described as canonical pulsars driven by the NS rotational energy, for $L_X$ computed in the soft (2--10~keV) X-ray band. Read More

There is solid observational evidence on the existence of massive, $M\sim 1~M_\odot$, highly magnetized white dwarfs (WDs) with surface magnetic fields up to $B\sim 10^9$ G. We show that, if in addition to these features, the star is fast rotating, it can become a rotation-powered pulsar-like WD and emit detectable high-energy radiation. We infer the values of the structure parameters (mass, radius, moment of inertia), magnetic field, rotation period and spin-down rates of a WD pulsar death-line. Read More

2016Oct
Authors: D. de Florian1, C. Grojean2, F. Maltoni3, C. Mariotti4, A. Nikitenko5, M. Pieri6, P. Savard7, M. Schumacher8, R. Tanaka9, R. Aggleton10, M. Ahmad11, B. Allanach12, C. Anastasiou13, W. Astill14, S. Badger15, M. Badziak16, J. Baglio17, E. Bagnaschi18, A. Ballestrero19, A. Banfi20, D. Barducci21, M. Beckingham22, C. Becot23, G. Bélanger24, J. Bellm25, N. Belyaev26, F. U. Bernlochner27, C. Beskidt28, A. Biekötter29, F. Bishara30, W. Bizon31, N. E. Bomark32, M. Bonvini33, S. Borowka34, V. Bortolotto35, S. Boselli36, F. J. Botella37, R. Boughezal38, G. C. Branco39, J. Brehmer40, L. Brenner41, S. Bressler42, I. Brivio43, A. Broggio44, H. Brun45, G. Buchalla46, C. D. Burgard47, A. Calandri48, L. Caminada49, R. Caminal Armadans50, F. Campanario51, J. Campbell52, F. Caola53, C. M. Carloni Calame54, S. Carrazza55, A. Carvalho56, M. Casolino57, O. Cata58, A. Celis59, F. Cerutti60, N. Chanon61, M. Chen62, X. Chen63, B. Chokoufé Nejad64, N. Christensen65, M. Ciuchini66, R. Contino67, T. Corbett68, D. Curtin69, M. Dall'Osso70, A. David71, S. Dawson72, J. de Blas73, W. de Boer74, P. de Castro Manzano75, C. Degrande76, R. L. Delgado77, F. Demartin78, A. Denner79, B. Di Micco80, R. Di Nardo81, S. Dittmaier82, A. Dobado83, T. Dorigo84, F. A. Dreyer85, M. Dührssen86, C. Duhr87, F. Dulat88, K. Ecker89, K. Ellis90, U. Ellwanger91, C. Englert92, D. Espriu93, A. Falkowski94, L. Fayard95, R. Feger96, G. Ferrera97, A. Ferroglia98, N. Fidanza99, T. Figy100, M. Flechl101, D. Fontes102, S. Forte103, P. Francavilla104, E. Franco105, R. Frederix106, A. Freitas107, F. F. Freitas108, F. Frensch109, S. Frixione110, B. Fuks111, E. Furlan112, S. Gadatsch113, J. Gao114, Y. Gao115, M. V. Garzelli116, T. Gehrmann117, R. Gerosa118, M. Ghezzi119, D. Ghosh120, S. Gieseke121, D. Gillberg122, G. F. Giudice123, E. W. N. Glover124, F. Goertz125, D. Gonçalves126, J. Gonzalez-Fraile127, M. Gorbahn128, S. Gori129, C. A. Gottardo130, M. Gouzevitch131, P. Govoni132, D. Gray133, M. Grazzini134, N. Greiner135, A. Greljo136, J. Grigo137, A. V. Gritsan138, R. Gröber139, S. Guindon140, H. E. Haber141, C. Han142, T. Han143, R. Harlander144, M. A. Harrendorf145, H. B. Hartanto146, C. Hays147, S. Heinemeyer148, G. Heinrich149, M. Herrero150, F. Herzog151, B. Hespel152, V. Hirschi153, S. Hoeche154, S. Honeywell155, S. J. Huber156, C. Hugonie157, J. Huston158, A. Ilnicka159, G. Isidori160, B. Jäger161, M. Jaquier162, S. P. Jones163, A. Juste164, S. Kallweit165, A. Kaluza166, A. Kardos167, A. Karlberg168, Z. Kassabov169, N. Kauer170, D. I. Kazakov171, M. Kerner172, W. Kilian173, F. Kling174, K. Köneke175, R. Kogler176, R. Konoplich177, S. Kortner178, S. Kraml179, C. Krause180, F. Krauss181, M. Krawczyk182, A. Kulesza183, S. Kuttimalai184, R. Lane185, A. Lazopoulos186, G. Lee187, P. Lenzi188, I. M. Lewis189, Y. Li190, S. Liebler191, J. Lindert192, X. Liu193, Z. Liu194, F. J. Llanes-Estrada195, H. E. Logan196, D. Lopez-Val197, I. Low198, G. Luisoni199, P. Maierhöfer200, E. Maina201, B. Mansoulié202, H. Mantler203, M. Mantoani204, A. C. Marini205, V. I. Martinez Outschoorn206, S. Marzani207, D. Marzocca208, A. Massironi209, K. Mawatari210, J. Mazzitelli211, A. McCarn212, B. Mellado213, K. Melnikov214, S. B. Menari215, L. Merlo216, C. Meyer217, P. Milenovic218, K. Mimasu219, S. Mishima220, B. Mistlberger221, S. -O. Moch222, A. Mohammadi223, P. F. Monni224, G. Montagna225, M. Moreno Llácer226, N. Moretti227, S. Moretti228, L. Motyka229, A. Mück230, M. Mühlleitner231, S. Munir232, P. Musella233, P. Nadolsky234, D. Napoletano235, M. Nebot236, C. Neu237, M. Neubert238, R. Nevzorov239, O. Nicrosini240, J. Nielsen241, K. Nikolopoulos242, J. M. No243, C. O'Brien244, T. Ohl245, C. Oleari246, T. Orimoto247, D. Pagani248, C. E. Pandini249, A. Papaefstathiou250, A. S. Papanastasiou251, G. Passarino252, B. D. Pecjak253, M. Pelliccioni254, G. Perez255, L. Perrozzi256, F. Petriello257, G. Petrucciani258, E. Pianori259, F. Piccinini260, M. Pierini261, A. Pilkington262, S. Plätzer263, T. Plehn264, R. Podskubka265, C. T. Potter266, S. Pozzorini267, K. Prokofiev268, A. Pukhov269, I. Puljak270, M. Queitsch-Maitland271, J. Quevillon272, D. Rathlev273, M. Rauch274, E. Re275, M. N. Rebelo276, D. Rebuzzi277, L. Reina278, C. Reuschle279, J. Reuter280, M. Riembau281, F. Riva282, A. Rizzi283, T. Robens284, R. Röntsch285, J. Rojo286, J. C. Romão287, N. Rompotis288, J. Roskes289, R. Roth290, G. P. Salam291, R. Salerno292, R. Santos293, V. Sanz294, J. J. Sanz-Cillero295, H. Sargsyan296, U. Sarica297, P. Schichtel298, J. Schlenk299, T. Schmidt300, C. Schmitt301, M. Schönherr302, U. Schubert303, M. Schulze304, S. Sekula305, M. Sekulla306, E. Shabalina307, H. S. Shao308, J. Shelton309, C. H. Shepherd-Themistocleous310, S. Y. Shim311, F. Siegert312, A. Signer313, J. P. Silva314, L. Silvestrini315, M. Sjodahl316, P. Slavich317, M. Slawinska318, L. Soffi319, M. Spannowsky320, C. Speckner321, D. M. Sperka322, M. Spira323, O. Stål324, F. Staub325, T. Stebel326, T. Stefaniak327, M. Steinhauser328, I. W. Stewart329, M. J. Strassler330, J. Streicher331, D. M. Strom332, S. Su333, X. Sun334, F. J. Tackmann335, K. Tackmann336, A. M. Teixeira337, R. Teixeira de Lima338, V. Theeuwes339, R. Thorne340, D. Tommasini341, P. Torrielli342, M. Tosi343, F. Tramontano344, Z. Trócsányi345, M. Trott346, I. Tsinikos347, M. Ubiali348, P. Vanlaer349, W. Verkerke350, A. Vicini351, L. Viliani352, E. Vryonidou353, D. Wackeroth354, C. E. M. Wagner355, J. Wang356, S. Wayand357, G. Weiglein358, C. Weiss359, M. Wiesemann360, C. Williams361, J. Winter362, D. Winterbottom363, R. Wolf364, M. Xiao365, L. L. Yang366, R. Yohay367, S. P. Y. Yuen368, G. Zanderighi369, M. Zaro370, D. Zeppenfeld371, R. Ziegler372, T. Zirke373, J. Zupan374
Affiliations: 1eds., 2eds., 3eds., 4eds., 5eds., 6eds., 7eds., 8eds., 9eds., 10The LHC Higgs Cross Section Working Group, 11The LHC Higgs Cross Section Working Group, 12The LHC Higgs Cross Section Working Group, 13The LHC Higgs Cross Section Working Group, 14The LHC Higgs Cross Section Working Group, 15The LHC Higgs Cross Section Working Group, 16The LHC Higgs Cross Section Working Group, 17The LHC Higgs Cross Section Working Group, 18The LHC Higgs Cross Section Working Group, 19The LHC Higgs Cross Section Working Group, 20The LHC Higgs Cross Section Working Group, 21The LHC Higgs Cross Section Working Group, 22The LHC Higgs Cross Section Working Group, 23The LHC Higgs Cross Section Working Group, 24The LHC Higgs Cross Section Working Group, 25The LHC Higgs Cross Section Working Group, 26The LHC Higgs Cross Section Working Group, 27The LHC Higgs Cross Section Working Group, 28The LHC Higgs Cross Section Working Group, 29The LHC Higgs Cross Section Working Group, 30The LHC Higgs Cross 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This Report summarizes the results of the activities of the LHC Higgs Cross Section Working Group in the period 2014-2016. The main goal of the working group was to present the state-of-the-art of Higgs physics at the LHC, integrating all new results that have appeared in the last few years. The first part compiles the most up-to-date predictions of Higgs boson production cross sections and decay branching ratios, parton distribution functions, and off-shell Higgs boson production and interference effects. Read More

Let $\Pi$ be a rank $2$ Poisson Structure in the Projective Space defined by the dimension $2$ foliation $\mathcal{F}$ in the pull-back component. We prove that for a generic choice of $\mathcal{F}$, the irreducible component of the Poisson structures containing $\Pi$ and the irreducible component of Foliations containing $\mathcal{F}$ coincides. Read More

We study the orbital decay of a pair of massive black holes (BHs) with masses 5 * 10^5 and 10^7 M_sun, using hydrodynamical simulations of circumnuclear disks (CNDs) with the alternating presence of sub-grid physics such as radiative cooling, star formation, supernova feedback, BH accretion and feedback. In the absence of such processes, the orbit of the secondary BH decays over timescales of ~10 Myr to the center of the CND, where the primary BH resides. When strong dissipation operates in CNDs, fragmentation into massive objects the size of giant molecular clouds and with densities in the range 10^4 - 10^7 amu / cm^3 occurs, causing stochastic torques and hits that can eject the secondary BH from the midplane. Read More

In this paper we study the existence of solution for the following class of system of elliptic equations $$ \left\{ \begin{array}{lcl} -\Delta u=\left(a-\int_{\Omega}K(x,y)f(u,v)dy\right)u+bv,\quad \mbox{in} \quad \Omega -\Delta v=\left(d-\int_{\Omega}\Gamma(x,y)g(u,v)dy\right)v+cu,\quad \mbox{in} \quad \Omega u=v=0,\quad \mbox{on} \quad \partial\Omega \end{array} \right. \eqno{(P)} $$ where $\Omega\subset\R^N$ is a smooth bounded domain, $N\geq1$, and $K,\Gamma:\Omega\times\Omega\rightarrow\R$ is a nonnegative function checking some hypotheses and $a,b,c,d\in\R$. The functions $f$ and $g$ satisfy some conditions which permit to use Bifurcation Theory to prove the existence of solution for $(P)$. Read More

The quasinormal modes of the electromagnetic and gravitational perturbation on Schwarzschild-AdS black hole calculated by Cardoso and Lemos has been revisited. Although the equations of motion are correct some frequencies calculated previously by the authors are not. We present the new values of quasinormal modes and discuss the possible sources of problems and implications on the conclusions presented. Read More

In this paper, we study the existence of solution for the following class of nonlocal problem, $$ \left\{ \begin{array}{lcl} -\Delta u=\left(\lambda f(x)-\int_{\R^N}K(x,y)|u(y)|^{\gamma}dy\right)u,\quad \mbox{in} \quad \R^{N}, \\ \displaystyle \lim_{|x| \to +\infty}u(x)=0,\quad u>0 \quad \text{in} \quad \R^{N}, \end{array} \right. \eqno{(P)} $$ where $N\geq3$, $\lambda >0, \gamma\in[1,2)$, $f:\R\rightarrow\R$ is a positive continuous function and $K:\R^N\times\R^N\rightarrow\R$ is a nonnegative function. The functions $f$ and $K$ satisfy some conditions, which permit to use Bifurcation Theory to prove the existence of solution for problem $(P)$. Read More

In this paper, we study the following class of nonlinear Choquard equation, $$-\Delta u+a(z)u=K(u)f(u)\quad \text{in}\quad \R^N,$$ where $\R^N=\R^L\times\R^M$, $L\geq2$, $K(u)=|.|^{-\gamma}*F(u)$, $\gamma\in(0,N)$, $a$ is a continuous real function and $F$ is the primitive function of $f$. Under some suitable assumptions mixed on the potential $a$. Read More

Random sampling in compressive sensing (CS) enables the compression of large amounts of input signals in an efficient manner, which is useful for many applications. CS reconstructs the compressed signals exactly with overwhelming probability when incoming data can be sparsely represented with a few components. However, the theory of CS framework including random sampling has been focused on exact recovery of signal; impreciseness in signal recovery has been neglected. Read More

The sorting problem is one of the most relevant problems in computer science. Within the scope of modern computer science it has been studied for more than 70 years. In spite of these facts, new sorting algorithms have been developed in recent years. Read More

We address a novel method for analytical determinations that combines simplicity, rapidity, low consumption of chemicals, and portability with high analytical performance taking into account parameters such as precision, linearity, robustness, and accuracy. This approach relies on the effect of the analyte content over the Gibbs free energy of dispersions, affecting the thermodynamic stabilization of emulsions or Winsor systems to form microemulsions (MEs). Such phenomenon was expressed by the minimum volume fraction of amphiphile required to form microemulsion, which was the analytical signal of the method. Read More

Sorting is one of the most important problem in the computer science. After more than 60 years of studies, there are still many research devoted to develop faster sorting algorithms. This work aims to explain the Fusion Tree data structure. Read More

2014Mar
Affiliations: 1Institute of Mathematic and Computation, 2Institute of Physics and Chemistry

In this work we describe an interesting application of a simple derivative-free optimization method to extract the quasinormal modes (QNM's) of a massive scalar field propagating in a 4-dimensional Schwarzschild anti-de Sitter black hole (Sch-AdS$_4$). In this approach, the problem to find the QNM's is reduced to minimize a real valued function of two variables and does not require any information about derivatives. In fact, our strategy requires only evaluations of the objective function to search global minimizers of the optimization problem. Read More

The degeneracy locus of a generically symplectic Poisson structure on a Fano manifold is always a singular hypersurface. We prove that there exists just one family of generically symplectic Poisson structures in Fano manifold with cyclic Picard group having a reduced simple normal crossing degeneracy locus. Read More

In this work we studied the synthesis of BSCCO-2212 superconducting phase associating a quite similar method developed by Pechini (PM) with the microwave-assisted hydrothermal method, MAH. To study the influence of MAH on the properties of BSCCO system, we synthesized two samples by such method. For one sample we used carbonates (CMAH) and for the other one we used nitrates (NMAH) as chemical reagents. Read More

The effect of strong magnetic fields on the properties of the pasta structures is calculated within a Thomas Fermi approach using relativistic mean field models to modulate stellar matter. It is shown how quantities such as the size of the clusters and Wigner-Seitz cells, the surface tension and the transition between configurations are affected. It is expected that these effects may give rise to large stresses in the pasta phase if the local magnetic field suffers fluctuations. Read More

We study the semiclassical dynamics of interacting electrons in a biased crystal lattice. A complex dynamical scenario emerges from the interplay between the Coulomb and the external electric fields. When the electrons are far apart, the Coulomb potential may be small compared to the external potential and the electrons oscillate with effective Bloch frequencies, determined by the local electric field. Read More

For Agent Based Models, in particular the Voter Model (VM), a general framework of aggregation is developed which exploits the symmetries of the agent network $G$. Depending on the symmetry group $Aut_{\omega} (N)$ of the weighted agent network, certain ensembles of agent configurations can be interchanged without affecting the dynamical properties of the VM. These configurations can be aggregated into the same macro state and the dynamical process projected onto these states is, contrary to the general case, still a Markov chain. Read More

During structure formation, energetic events and random motions of the hot gas residing inside galaxy clusters (the intracluster medium, ICM) generate turbulent motions. Radio diffuse emission probes the presence of magnetic fields and relativistic particles in the ICM, being a key ingredient for understanding the physical processes at work in clusters of galaxies. In this work, we present results from numerical simulations of magnetic field turbulence in magnetohydrodynamics (MHD) and kinetic MHD (KMHD) frameworks. Read More

We analyze the dynamics of agent--based models (ABMs) from a Markovian perspective and derive explicit statements about the possibility of linking a microscopic agent model to the dynamical processes of macroscopic observables that are useful for a precise understanding of the model dynamics. In this way the dynamics of collective variables may be studied, and a description of macro dynamics as emergent properties of micro dynamics, in particular during transient times, is possible. Read More

Special localized wavemodes show up in several physical scenarios including BEC in optical lattices, nonlinear photonic crystals and systems with strong electron-phonon interaction. These result from an underlying nonlinear contribution to the wave equation that is usually assumed to be instantaneous. Here we demonstrate that the relaxation process of the nonlinearity has a profound impact in the wavepacket dynamics and in the formation of localized modes. Read More

We consider Bloch oscillations of Bose-Einstein condensates in presence of a time-modulated s-wave scattering length. Generically, interaction leads to dephasing and decay of the wave packet. Based on a cyclic-time argument, we find---additionally to the linear Bloch oscillation and a rigid soliton solution---an infinite family of modulations that lead to a periodic time evolution of the wave packet. Read More

This paper introduces a Markov chain approach that allows a rigorous analysis of agent based opinion dynamics as well as other related agent based models (ABM). By viewing the ABM dynamics as a micro description of the process, we show how the corresponding macro description is obtained by a projection construction. Then, well known conditions for lumpability make it possible to establish the cases where the macro model is still Markov. Read More

Bloch oscillations of Bose-Einstein condensates realize sensitive matter-wave interferometers. We investigate the dynamics and stability of bright-soliton wave packets in one-dimensional tilted optical lattices with a modulated mean-field interaction $g(t)$. By means of a time-reversal argument, we prove the stability of Bloch oscillations of breathing solitons that would be quasistatically unstable. Read More

We study the dynamical properties of small regulatory networks treated as non autonomous dynamical systems called modules when working inside larger networks or, equivalently when subject to external signal inputs. Particular emphasis is put on the interplay between the internal properties of the open systems and the different possible inputs on them to deduce new functionalities of the modules. We use discrete-time, piecewise-affine and piecewise-contracting models with interactions of a regulatory nature to perform our study. Read More

We investigate Bloch oscillations of interacting cold atoms in a mean-field framework. In general, atom-atom interaction causes dephasing and destroys Bloch oscillations. Here, we show that Bloch oscillations are persistent if the interaction is modulated harmonically with suitable frequency and phase. Read More

A tomographic technique has been used in the past to decompose complex signals in its components. The technique is based on spectral decomposition and projection on the eigenvectors of a family of unitary operators. Here this technique is also shown to be appropriate to obtain the instantaneous phase derivative of the signal components. Read More

Many signals in Nature, technology and experiment have a multi-component structure. By spectral decomposition and projection on the eigenvectors of a family of unitary operators, a robust method is developed to decompose a signals in its components. Different signal traits may be emphasized by different choices of the unitary family. Read More

The Geopark Araripe, located in Northeastern Brazil, is the first UNESCO Natural Park in the South hemisphere and a world-famous fossil deposit of the Early Cretaceous period (approximately 120 million years). Fossilized fish fauna in Geopark Araripe is found inside of sedimentary rocks in three-dimensional forms. In the present study sedimentary rocks and fossil fish Rhacolepis bucalis have been carefully analysed by means of X-ray powder diffraction, scanning electron microscopy and termogravimetric analysis. Read More

The ${\bm E}\times{\bm B}$ drift motion of charged test particle dynamics in the Scrape Off Layer (SOL)is analyzed to investigate a transport control strategy based on Hamiltonian dynamics. We model SOL turbulence using a 2D non-linear fluid code based on interchange instability which was found to exhibit intermittent dynamics of the particle flux. The effect of a small and appropriate modification of the turbulent electric potential is studied with respect to the chaotic diffusion of test particle dynamics. Read More

A simple generalization of the MHD model accounting for the fluctuations of the configurations due to kinetic effects in plasmas in short times small scales is considered. The velocity of conductive fluid and the magnetic field are considerd as the stochastic fields (or random trial trajectories) for which the classical MHD equations play the role of the mean field equations in the spirit of stochastic mechanics of E. Nelson. Read More

A stochastic representation for the solutions of the Poisson-Vlasov equation, with several charged species, is obtained. The representation involves both an exponential and a branching process and it provides an intuitive characterization of the nature of the solutions and its fluctuations. Here, the stochastic representation is also proposed as a tool for the numerical evaluation of the solutions Read More

The gyrokinetics formulation of plasmas in strong magnetic fields aims at the elimination of the angle associated with the Larmor rotation of charged particles around the magnetic field lines. In a perturbative treatment or as a time-averaging procedure, gyrokinetics is in general an approximation to the true dynamics. Here we discuss the conditions under which gyrokinetics is either an approximation or an exact operation in the framework of reduction of dynamical systems with symmetry Read More

In this paper we study the fluctuation spectrum of a linearized Vlasov-Poisson equation in the presence of a small external electric field. Conditions for the control of the linear fluctuations by an external electric field are established. Read More

A method of chaos reduction for Hamiltonian systems is applied to control chaotic advection. By adding a small and simple term to the stream function of the system, the construction of invariant tori has a stabilization effect in the sense that these tori act as barriers to diffusion in phase space and the controlled Hamiltonian system exhibits a more regular behaviour. Read More

Using the KAM method, we exhibit some solutions of a finite-dimensional approximation of the Zakharov Hamiltonian formulation of gravity water waves, which are spatially periodic, quasi-periodic in time, and not permanent form travelling waves. For this Hamiltonian, which is the total energy of the waves, the canonical variables are some complex quantities an and a*n, which are linear combinations of the Fourier components of the free surface elevation and the velocity potential evaluated at the surface. We expose the method for the case of a system with a finite number of degrees of freedom, the Zufiria model, with only 3 modes interacting. Read More

A numerical and experimental study of a control method aimed at channeling chaos by building barriers in phase space is performed on a paradigm for wave-particle interaction, i.e., a traveling wave tube. Read More

In this article we present an application of a method of control of Hamiltonian systems to the chaotic velocity diffusion of a cold electron beam interacting with electrostatic waves. We numerically show the efficiency and robustness of the additional small control term in restoring kinetic coherence of the injected electron beam. Read More

The Brownian motion over the space of fluid velocity configurations driven by the hydrodynamical equations is considered. The Green function is computed in the form of an asymptotic series close to the standard diffusion kernel. The high order asymptotic coefficients are studied. Read More

Genetic regulatory networks are usually modeled by systems of coupled differential equations and by finite state models, better known as logical networks, are also used. In this paper we consider a class of models of regulatory networks which present both discrete and continuous aspects. Our models consist of a network of units, whose states are quantified by a continuous real variable. Read More

The advection of passive tracers in an oscillating vortex chain is investigated. It is shown that by adding a suitable perturbation to the ideal flow, the induced chaotic advection exhibits two remarkable properties compared with a generic perturbation : Particles remain trapped within a specific domain bounded by two oscillating barriers (suppression of chaotic transport along the channel), and the stochastic sea seems to cover the whole domain (enhancement of mixing within the rolls). Read More

We introduce simple models of genetic regulatory networks and we proceed to the mathematical analysis of their dynamics. The models are discrete time dynamical systems generated by piecewise affine contracting mappings whose variables represent gene expression levels. When compared to other models of regulatory networks, these models have an additional parameter which is identified as quantifying interaction delays. Read More

We present a method of control which is able to create barriers to magnetic field line diffusion by a small modification of the magnetic perturbation. This method of control is based on a localized control of chaos in Hamiltonian systems. The aim is to modify the perturbation locally by a small control term which creates invariant tori acting as barriers to diffusion for Hamiltonian systems with two degrees of freedom. Read More

We investigate the wave-packet dynamics of the power-law bond disordered one-dimensional Anderson model with hopping amplitudes decreasing as $H_{nm}\propto |n-m|^{-\alpha}$. We consider the critical case ($\alpha=1$). Using an exact diagonalization scheme on finite chains, we compute the participation moments of all stationary energy eigenstates as well as the spreading of an initially localized wave-packet. Read More

We review a method of control for Hamiltonian systems which is able to create smooth invariant tori. This method of control is based on an apt modification of the perturbation which is small and localized in phase space. Read More