Multiple spatial limit sets and chaos analysis in MIMO cascade nonlinear systems

Bojana M. Zlatkovic and Biljana Samardzic

Chaos, Solitons & Fractals, 2019, vol. 119, issue C, 86-93

Abstract: The appearance of multiple spatial limit sets and chaos in MIMO cascade nonlinear systems is analyzed in this paper. The necessary and sufficient conditions for the existence of stable multiple spatial limit sets and the rules for the existence of chaos are given, too. The validity of these conditions is confirmed with bifurcation diagrams and spatial phase portraits of MIMO2 and MIMO4 cascade nonlinear systems.

Keywords: MIMO cascade nonlinear systems; Spatial phase portraits; Multiple spatial limit sets; Multiple spatial chaos; Bifurcation diagram (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:119:y:2019:i:c:p:86-93

DOI: 10.1016/j.chaos.2018.12.014

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