Infinite lattice of hyperchaotic strange attractors

Chunbiao Li, Julien Clinton Sprott, Tomasz Kapitaniak and Tianai Lu

Chaos, Solitons & Fractals, 2018, vol. 109, issue C, 76-82

Abstract: By introducing trigonometric functions in a 4-D hyperchaotic snap system, infinite 1-D, 2-D, and 3-D lattices of hyperchaotic strange attractors were produced. Furthermore a general approach was developed for constructing self-reproducing systems, in which infinitely many attractors share the same Lyapunov exponents. In this case, cumbersome constants are necessary to obtain offset boosting; correspondingly additional periodic functions are needed for attractor hatching. As an example, a hyperchaotic system with a hidden attractor was transformed for reproducing 1-D, 2-D infinite lattices of hyperchaotic attractors and a 4-D lattice of chaotic attractors.

Keywords: Infinite lattice of attractors; Attractor hatching; Hyperchaotic attractor (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:109:y:2018:i:c:p:76-82

DOI: 10.1016/j.chaos.2018.02.022

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