Energy analysis of Sprott-A system and generation of a new Hamiltonian conservative chaotic system with coexisting hidden attractors

Hongyan Jia, Wenxin Shi, Lei Wang and Guoyuan Qi

Chaos, Solitons & Fractals, 2020, vol. 133, issue C

Abstract: The paper firstly investigates energy cycle of the Sprott-A system by transforming the Sprott-A system into the Kolmogorov-type system. We found the dynamics of the Sprott-A system are influenced by the change along the energy exchange between the conservative energy and the external supplied energy. And the action of the external supplied torque is the main reason that the Sprott-A system generates chaos. Secondly, based on energy analysis of the Sprott-A system, a new four-dimension (4-D) chaotic system is obtained. The new 4-D chaotic system is a conservative system with a constant Hamiltonian energy. Besides, it is also a no-equilibrium system, this means that the new 4-D chaotic system can exhibit hidden characteristics. Further, the coexisting hidden attractors are found when selecting different initial points. Finally, the new 4-D chaotic system is implemented by FPGA, and the coexisting attractors observed are consistent with those found in numerical analysis, which in experiment verifies the existence of coexisting hidden attractors of the new 4-D chaotic system from physical point of view.

Keywords: Energy analysis; Hamiltonian energy; Casimir energy; Conservative systems; Coexisting hidden attractors (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:133:y:2020:i:c:s0960077920300345

DOI: 10.1016/j.chaos.2020.109635

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