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- Title
Coexisting infinitely many attractors in a new chaotic system with a curve of equilibria: Its extreme multi-stability and Kolmogorov–Sinai entropy computation.
- Authors
Ahmadi, Atefeh; Wang, Xiong; Nazarimehr, Fahimeh; Alsaadi, Fawaz E; Alsaadi, Fuad E; Pham, Viet-Thanh
- Abstract
A new five-dimensional chaotic system with extreme multi-stability is introduced in this article. The mathematical model is established, and numerical simulations are done. This dynamical system complicates incident of extreme multi-stability. Most significantly, relied on the mathematical model, the recently proposed system has a curve of equilibria that ends in the occurrence of hidden attractors. We examine the initial-condition-dependent dynamics of this system. We inspect that there is an unrestricted number of coexistent attractors, which signifies the occurrence of extreme multi-stability strictly. In addition, the extreme multi-stability according to initial condition is investigated consuming the Lyapunov exponent spectra and bifurcation diagrams. The existence of coexisting infinitely many attractors is displayed with phase portraits. In the end, we calculate and debate Kolmogorov–Sinai entropy in the chaotic system. We direct trying the Kolmogorov–Sinai technique of entropic inspection for the dynamics of the system.
- Subjects
ATTRACTORS (Mathematics); ENTROPY; DYNAMICAL systems; LYAPUNOV exponents; EQUILIBRIUM; BIFURCATION diagrams; QUANTUM chaos; ULTRASONIC testing
- Publication
Advances in Mechanical Engineering (Sage Publications Inc.), 2019, Vol 11, Issue 11, pN.PAG
- ISSN
1687-8132
- Publication type
Article
- DOI
10.1177/1687814019888046