Dynamical systems on lattices with decaying interaction I: A functional analysis framework-Reference-Cited by-同舟云学术

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Dynamical systems on lattices with decaying interaction I: A functional analysis framework

Published:2011-03 Issue:6 Volume:250 Page:2838-2886
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Fontich Ernest,de la Llave Rafael,Martín Pau

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference37 articles.

1. Traveling waves of bistable dynamics on a lattice;Bates;SIAM J. Math. Anal.,2003

2. Tutorials in Mathematical Biosciences. I. Mathematical Neuroscience;Borisyuk,2005

3. Coupled analytic maps;Bricmont;Nonlinearity,1995

4. Nonlinear dynamics of the Frenkel–Kontorova model;Braun;Phys. Rep.,1998

5. The Frenkel–Kontorova Model. Concepts, Methods, and Applications;Braun,2004

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1. Arnold diffusion in Hamiltonian systems on infinite lattices;Communications on Pure and Applied Mathematics;2023-12-17

2. Normal Forms and Sternberg Conjugation Theorems for Infinite Dimensional Coupled Map Lattices;Journal of Dynamics and Differential Equations;2021-01-09

3. Invariant Objects on Lattice Systems with Decaying Interactions;Trends in Mathematics;2019

4. Numerical Computations and Computer Assisted Proofs of Periodic Orbits of the Kuramoto--Sivashinsky Equation;SIAM Journal on Applied Dynamical Systems;2017-01

5. Construction of invariant whiskered tori by a parameterization method. Part II: Quasi-periodic and almost periodic breathers in coupled map lattices;Journal of Differential Equations;2015-09

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