Quasiperiodicity and Chaos in a Generalized Nosé–Hoover Oscillator

DOI10.1142/S0218127416501704zbMath1352.34077OpenAlexW2522324547MaRDI QIDQ2953738

Paulo C. Rech

Publication date: 6 January 2017

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

Full work available at URL: https://doi.org/10.1142/s0218127416501704

zbMATH Keywords

quasiperiodicityLyapunov spectraparameter-spaceNosé-Hoover oscillator

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

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Cites Work

• Delimiting hyperchaotic regions in parameter planes of a 5D continuous-time dynamical system
• Hyperchaotic states in the parameter-space
• TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS
• A vast amount of various invariant tori in the Nosé-Hoover oscillator

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