Lin's method for discrete dynamical systems

DOI10.1080/10236190008808247zbMath0984.39011OpenAlexW2001116478MaRDI QIDQ4522360

Jürgen Knobloch

Publication date: 29 April 2002

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190008808247

zbMATH Keywords

orbithomoclinic pointdifference equationdiscrete dynamical systembifurcation equationshyperbolic fixed pointshift dynamics

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Dynamical systems with hyperbolic orbits and sets (37D05) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (10)

Revisiting multi-breathers in the discrete Klein–Gordon equation: a spatial dynamics approach ⋮ Persistence and imperfection of nonautonomous bifurcation patterns ⋮ Multiple homoclinic orbits in conservative and reversible systems ⋮ Bifurcation and chaos near sliding homoclinics ⋮ Lyapunov-Schmidt reduction for unfolding heteroclinic networks of equilibria and periodic orbits with tangencies ⋮ On discrete models of fractal dimension to explore the complexity of discrete dynamical systems ⋮ Bifurcation from codimension one relative homoclinic cycles ⋮ Chaotic behaviour near non-transversal homoclinic points with quadratic tangency ⋮ Stationary multi-kinks in the discrete sine-Gordon equation ⋮ Existence and spectral stability of multi-pulses in discrete Hamiltonian lattice systems

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