The existence of \( \omega \)-limit set for a modified Nosé-Hoover oscillator

DOI10.3934/DCDSB.2022043OpenAlexW4226024183MaRDI QIDQ2081985

Bo Deng, Qianqian Han, Xiao-Song Yang

Publication date: 30 September 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2022043

zbMATH Keywords

periodic orbitsinvariant torichaotic attractors\( \omega \)-limit setNosé-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) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Invariant manifolds for ordinary differential equations (34C45) Asymptotic properties of solutions to ordinary differential equations (34D05) Numerical chaos (65P20)

Uses Software

• RODES

Cites Work

• Unnamed Item
• A rigorous ODE solver and Smale's 14th problem
• Nosé–Hoover nonequilibrium dynamics and statistical mechanics
• A vast amount of various invariant tori in the Nosé-Hoover oscillator

This page was built for publication: The existence of \( \omega \)-limit set for a modified Nosé-Hoover oscillator