THE EXISTENCE OF omega-LIMIT SET FOR A MODIFIED NOSE-HOOVER OSCILLATOR

Discrete & Continuous Dynamical Systems - B（2022）

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摘要

In this paper, we prove the existence of omega-limit set for a modified Nose-Hoover oscillator. We also prove the existence of either an invariant torus or a stable periodic orbit of the oscillator. In addition, we show by numerical simulations the co-existence of both alpha- and omega-limit sets of various types of periodic orbits, invariant tori, and chaotic attractors.

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关键词

Nose-Hoover oscillator, omega-limit set, invariant tori, periodic orbits, chaotic attractors

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