Bifurcations and persistence of equilibria in high-dimensional lattice dynamical systems

DOI10.1088/0951-7715/17/2/009zbMath1058.37059OpenAlexW2008629309MaRDI QIDQ4810808

Yihui Chen, Winxin Qin

Publication date: 16 August 2004

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/17/2/009

zbMATH Keywords

lattice dynamical systemmultistabilityanti-integrabilitybifurcation in dependence on coupling intensityhomoclinic points of \(\mathbb Z^d\)-actions

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

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