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

doi:10.1103/PhysRevE.89.022918

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

Institute for Plasma Research
CSIR - Indian Institute of Chemical Biology
University of Oldenburg
University of Maryland, College Park
West Virginia University
University of Tennessee, Knoxville
Physical Research Laboratory India

Research output: Contribution to journal › Article › peer-review

98 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 language	English
Article number	022918
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	89
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevE.89.022918
State	Published - 19 Feb 2014
Externally published	Yes

Funding

Funders	Funder number
National Science Foundation	1300426, 1212558

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10.1103/PhysRevE.89.022918

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Patel, M. S., Patel, U., Sen, A., Sethia, G. C., Hens, C., Dana, S. K., Feudel, U., Showalter, K., Ngonghala, C. N., & Amritkar, R. E. (2014). Experimental observation of extreme multistability in an electronic system of two coupled Rössler oscillators. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 89(2), Article 022918. https://doi.org/10.1103/PhysRevE.89.022918

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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 R{\"o}ssler 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.",

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AU - Hens, Chittaranjan

AU - Dana, Syamal K.

AU - Feudel, Ulrike

AU - Showalter, Kenneth

AU - Ngonghala, Calistus N.

AU - Amritkar, Ravindra E.

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

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