The Coexistence of Invariant Tori and Topological Horseshoe in a Generalized Nosé–Hoover Oscillator

DOI10.1142/S0218127417501115zbMath1370.34063MaRDI QIDQ5357155

Lei Wang, Xiao-Song Yang

Publication date: 14 September 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

coexistencePoincaré sectioninvariant torushorseshoe chaosgeneralized Nosé-Hoover oscillator

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Invariant manifolds for ordinary differential equations (34C45)

Related Items (4)

Global analysis of a generalized Nosé-Hoover oscillator ⋮ Qualitative analysis of a generalized Nosé-Hoover oscillator ⋮ Qualitative analysis of the \textit{Nosé-Hoover} oscillator ⋮ Horseshoes for Singly Thermostated Hamiltonians

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