 Hyperchaos in 3-D piecewise smooth mapsMahashweta Patra and Soumitro Banerjee Chaos, Solitons & Fractals, 2020, vol. 133, issue C Abstract: In this paper, we show various ways of the occurrence of a hyperchaotic orbit in 3D piecewise linear normal form maps. We show that hyperchaotic orbit can be born from a periodic orbit or a quasiperiodic orbit in various ways like-(a) a direct transition to a hyperchaotic orbit from a periodic orbit or a from a quasiperiodic orbit through border collision bifurcation; (b) a transition from a periodic orbit to a hyperchaotic orbit via quasiperiodic and chaotic orbit; (c) a transition from a mode-locked periodic orbit to a hyperchaotic orbit via higher dimensional torus. We also show bifurcations where a hyperchaotic orbit bifurcates to a different hyperchaotic orbit or a three-piece hyperchaotic orbit. We further show period increment with the coexistence of hyperchaotic attractors. Moreover, we numerically calculate the existence region of a hyperchaotic orbit in the parameter space region. Keywords: Hyperchaotic attractor; Lyapunov exponent; Bifurcation diagram; Coexisting attractors; Three dimensional piecewise smooth maps; Stable manifold and unstable manifolds (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:133:y:2020:i:c:s0960077920300837 DOI: 10.1016/j.chaos.2020.109681 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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