title: Experimental observation of extreme multistability in an electronic system of two coupled Rössler oscillators.
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.
authors.affiliation: Institute for Plasma Research, Bhat, Gandhinagar 382 428, India.
authors.forename: Mitesh S
authors.initials: MS
authors.lastname: Patel
authors.affiliation: Institute for Plasma Research, Bhat, Gandhinagar 382 428, India.
authors.forename: Unnati
authors.initials: U
authors.lastname: Patel
authors.affiliation: Institute for Plasma Research, Bhat, Gandhinagar 382 428, India.
authors.forename: Abhijit
authors.initials: A
authors.lastname: Sen
authors.affiliation: Institute for Plasma Research, Bhat, Gandhinagar 382 428, India.
authors.forename: Gautam C
authors.initials: GC
authors.lastname: Sethia
authors.affiliation: CSIR-Indian Institute of Chemical Biology, Kolkata, India.
authors.forename: Chittaranjan
authors.initials: C
authors.lastname: Hens
authors.affiliation: CSIR-Indian Institute of Chemical Biology, Kolkata, India.
authors.forename: Syamal K
authors.initials: SK
authors.lastname: Dana
authors.affiliation: Institute for Chemistry and Biology of the Marine Environment, University of Oldenburg, Oldenberg, Germany and Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742-2431, USA.
authors.forename: Ulrike
authors.initials: U
authors.lastname: Feudel
authors.affiliation: C. Eugene Bennett Department of Chemistry, West Virginia University, Morgantown, West Virginia 26506-6045, USA.
authors.forename: Kenneth
authors.initials: K
authors.lastname: Showalter
authors.affiliation: National Institute for Mathematical and Biological Synthesis, University of Tennessee, Knoxville, Tennessee 37996, USA.
authors.forename: Calistus N
authors.initials: CN
authors.lastname: Ngonghala
authors.affiliation: Physical Research Laboratory, Ahmedabad 380009, India.
authors.forename: Ravindra E
authors.initials: RE
authors.lastname: Amritkar
mesh_terms: D003198:Computer Simulation; D017076:Computer-Aided Design; D004581:Electronics / Q000295:instrumentation*; D004867:Equipment Design; D019544:Equipment Failure Analysis; D005246:Feedback; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000295:instrumentation* / Q000379:methods*