Extreme multi-stability: When imperfection changes quality

Sajad Jafari, Atefeh Ahmadi, Shirin Panahi and Karthikeyan Rajagopal

Chaos, Solitons & Fractals, 2018, vol. 108, issue C, 182-186

Abstract: In this paper, we discuss how chaotic systems show the importance of imperfection. This happens through the butterfly effect. Then we discuss that chaotic systems with extreme multi-stability can much better demonstrate such importance. The reason is that in such systems not only the quantity of time-series is affected by butterfly effect, but also the quality of time-series is changed by small imperfections in parameters or initial conditions. We prove the importance of that difference better by comparing the efficiency of a newly proposed parameter estimation method on both an ordinary chaotic system and a chaotic system with extreme multi-stability.

Keywords: Imperfection; Chaotic systems; Butterfly effect; Extreme multi-stability; Parameter estimation (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:108:y:2018:i:c:p:182-186

DOI: 10.1016/j.chaos.2018.02.005

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