Authors

Shijian Cang, Gehang Zhao, Zenghui Wang, Zengqiang Chen

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

conservative chaos, global structure, hamiltonian, nosé–hoover oscillator, one-thermostat system

Citation

  • Journal: Chaos, Solitons & Fractals
  • Year: 2022
  • Volume: 154
  • Issue:
  • Pages: 111687
  • Publisher: Elsevier BV
  • DOI: 10.1016/j.chaos.2021.111687

BibTeX

@article{Cang_2022,
  title={{Global structures of clew-shaped conservative chaotic flows in a class of 3D one-thermostat systems}},
  volume={154},
  ISSN={0960-0779},
  DOI={10.1016/j.chaos.2021.111687},
  journal={Chaos, Solitons & Fractals},
  publisher={Elsevier BV},
  author={Cang, Shijian and Zhao, Gehang and Wang, Zenghui and Chen, Zengqiang},
  year={2022},
  pages={111687}
}

Download the bib file

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