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Abstract

A simple four-dimensional chaotic system is proposed in this paper. Based on the analysis of Hamiltonian energy and conservative nature, the system is considered as Hamiltonian conservative system. The conservative and chaotic properties of the system are verified by phase diagram, Lyapunov exponents, bifurcation diagram and complexity diagram. Then, extreme multistability of the system is studied when selecting different initial values, and it can observe the nested coexistence of unequal and equal energy levels. The topology of these conservative motions is closely related to the isoenergy line of the Hamiltonian function. In addition, the offset-boosting under parameter control is studied by phase diagram, time-domain waveform and mean value. The simulation circuit and the experiment circuit verify the feasibility of the system. Finally, the system is applied to finite-time synchronization, which lays a foundation for the application in practical engineering.

Details

Title
A simple Hamiltonian conservative chaotic system with extreme multistability and offset-boosting
Author
Wang, Qiyu 1 ; Yan, Shaohui 1   VIAFID ORCID Logo  ; Wang, Ertong 1 ; Ren, Yu 1 ; Sun, Xi 1 

1  Northwest Normal University, College of Physics and Electronic Engineering, Lanzhou, China (GRID:grid.412260.3) (ISNI:0000 0004 1760 1427) 
Pages
7819-7830
Publication year
2023
Publication date
Apr 2023
Publisher
Springer Nature B.V.
ISSN
0924090X
e-ISSN
1573269X
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1007/s11071-022-08205-9
ProQuest document ID
2785012403
Copyright
© The Author(s), under exclusive licence to Springer Nature B.V. 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.