A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Generating grid chaotic sea from system without equilibrium point (2022)

Wang, N., Zhang, G., Kuznetsov, N.V., & Li, H. (2022). Generating grid chaotic sea from system without equilibrium point. Communications in Nonlinear Science and Numerical Simulation, 107, Article 106194. https://doi.org/10.1016/j.cnsns.2021.106194

JYU-tekijät tai -toimittajat

Julkaisun tiedot

Julkaisun kaikki tekijät tai toimittajat: Wang, Ning; Zhang, Guoshan; Kuznetsov, N.V.; Li, Houzhen

Lehti tai sarja: Communications in Nonlinear Science and Numerical Simulation

ISSN: 1007-5704

eISSN: 1878-7274

Julkaisuvuosi: 2022

Volyymi: 107

Artikkelinumero: 106194

Kustantaja: Elsevier BV

Julkaisumaa: Alankomaat

Julkaisun kieli: englanti

DOI: https://doi.org/10.1016/j.cnsns.2021.106194

Julkaisun avoin saatavuus: Ei avoin

Julkaisukanavan avoin saatavuus: 

Tiivistelmä

The dynamical system without equilibrium point is considered having hidden dynamics. It is relatively difficult to locate the attractor in the state space as its attraction basin has nothing to do with the equilibrium point. Especially, generation of multi-scroll chaos from no-equilibrium system is a challenging task. In this paper, using sine function, a modified Sprott-A system without equilibrium point but with perpetual points is presented. In particular, this system has the conservative property of zero-sum Lyapunov exponents and thus can generate chaotic sea rather than an attractor. The locations of the scrolls of chaotic sea are found having potential relevance to the sine nonlinearities and perpetual points. Different number of scrolls can be extended only adjusting the system parameters. Three cases of five-term Sprott-A system variants with single-direction multi-scroll/multi-double-scroll chaotic sea and two-direction grid chaotic sea are demonstrated. Besides, hidden tori are found coexisting with the chaotic sea. Numerical simulations and hardware experiments both confirm the complex dynamics of the system.

YSO-asiasanat: dynaamiset systeemit; attraktorit; kaaosteoria

Vapaat asiasanat: conservative chaos; no-equilibrium system; perpetual point; hidden attractor; hidden torus

Liittyvät organisaatiot

OKM-raportointi: Kyllä

Raportointivuosi: 2022

JUFO-taso: 1