Space-time chaos, critical phenomena, and bifurcations of solutions of infinite-dimensional systems of ordinary differential equations

DOI10.1023/A:1020641913332zbMath1072.37057MaRDI QIDQ2486947

Lev D. Pustyl'nikov

Publication date: 17 August 2005

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

stabilitychaosstrange attractorsbifurcationseparatrixhyperbolic pointinfinite-dimensional system of equations

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)