New family of 4-D hyperchaotic and chaotic systems with quadric surfaces of equilibria

Jay Prakash Singh, Binoy Krishna Roy and Sajad Jafari

Chaos, Solitons & Fractals, 2018, vol. 106, issue C, 243-257

Abstract: This paper reports 4-D hyperchaotic and chaotic systems with various quadric surfaces of equilibria. A known and systematic search procedure is used to generate the proposed systems. Six cases have non-degenerate quadric surfaces (ellipsoid, spheroid, sphere, elliptic hyperboloid of one sheet, circular hyperboloid of one sheet) type of equilibria and two cases have degenerate quadric surfaces (elliptic cylinder, circular cylinder) type of equilibria. All the cases in the new systems have coexistence of chaotic attractors. Chaotic natures of the new systems are confirmed by using various numerical tools. MATLAB simulation results are further validated by circuit implementations.

Keywords: Surface of equilibria; Hyperchaotic system; Chaotic system; Coexistence of attractors; Many equilibria chaotic system; Multi-stability (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:106:y:2018:i:c:p:243-257

DOI: 10.1016/j.chaos.2017.11.030

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