 Global structures of clew-shaped conservative chaotic flows in a class of 3D one-thermostat systemsShijian Cang, Gehang Zhao, Zenghui Wang and Zengqiang Chen Chaos, Solitons & Fractals, 2022, vol. 154, issue C Abstract: Inspired by the structure of the single-clew-shaped conservative chaotic flows generated from the Nosé–Hoover oscillator, the possible local dynamic behaviors of the thermostatted oscillator are discovered near the axis of the clew-shaped chaotic flows. Based on the formalism of the port-controlled Hamiltonian system, we propose a variant of the Nosé–Hoover oscillator, which denotes a class of 3D one-thermostat systems and satisfies the canonical probability distribution. Then, three example systems are constructed to demonstrate the global structures with one-, two- and eight-clew conservative chaotic flows. Numerical results show that the different global structures depend on both the system’s Hamiltonian that determines the basic shape of clew-shaped conservative chaotic flows and the curves of equilibrium points that contain the axis of each clew. Keywords: Global structure; One-thermostat system; Nosé–Hoover oscillator; Conservative chaos; Hamiltonian (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:154:y:2022:i:c:s0960077921010419 DOI: 10.1016/j.chaos.2021.111687 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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