The role of complex-time singularities in chaotic dynamics

DOI10.1070/RD1998V003N03ABEH000078zbMath0982.37023MaRDI QIDQ1302443

Alain Goriely, Michael Tabor

Publication date: 3 April 2000

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

chaotic dynamicsnear-integrable systemcomplex-time singularitiesMelnikov vector

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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