Experimental observation of extreme multistability in an electronic system of two coupled Rössler oscillators

Mitesh S. Patel, Unnati Patel, Abhijit Sen, Gautam C. Sethia, Chittaranjan Hens, Syamal K. Dana, Ulrike Feudel, Kenneth Showalter, Calistus N. Ngonghala, Ravindra E. Amritkar

Research output: Contribution to journalArticlepeer-review

94 Scopus citations

Abstract

We report the first experimental observation of extreme multistability in a controlled laboratory investigation. Extreme multistability arises when infinitely many attractors coexist for the same set of system parameters. The behavior was predicted earlier on theoretical grounds, supported by numerical studies of models of two coupled identical or nearly identical systems. We construct and couple two analog circuits based on a modified coupled Rössler system and demonstrate the occurrence of extreme multistability through a controlled switching to different attractor states purely through a change in initial conditions for a fixed set of system parameters. Numerical studies of the coupled model equations are in agreement with our experimental findings.

Original languageEnglish
Article number022918
JournalPhysical Review E
Volume89
Issue number2
DOIs
StatePublished - 19 Feb 2014
Externally publishedYes

Funding

FundersFunder number
National Science Foundation1300426, 1212558

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