Reconstitution for interpreting hidden dynamics with stable equilibrium point

Mo Chen, Chao Wang, Han Bao, Xue Ren, Bocheng Bao and Quan Xu

Chaos, Solitons & Fractals, 2020, vol. 140, issue C

Abstract: Extreme multistability induced by line or plane equilibrium point sets can be successfully reconstituted in the integral domain to achieve mechanism understanding and physical observation. Inspired by this, hidden dynamics with stable equilibrium point, a peculiar multistability, may also be interpreted in the integral domain. To this end, a three-dimensional (3-D) quadratic jerk system with hidden chaotic and periodic behaviors is selected as a representative paradigm to disclose the reconstituted hidden dynamics. Through integral and linear transformations, a 3-D reconstituted system with standalone initials-related constant parameters is constructed. Similar to the original system, the reconstituted system possesses one stable equilibrium point but can reconstitute the previous dynamical behaviors while initiating from the origin point. The immediate benefit is that the reconstituted hidden dynamical behaviors are relatively easier to be observed in a physical circuit. Finally, the physical circuit is designed and circuit simulations are performed by Power SIMulation (PSIM) to validate the numerical results.

Keywords: Hidden dynamics; Stable equilibrium point; Reconstitution; Circuit simulation (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920305841

DOI: 10.1016/j.chaos.2020.110188

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