title: How to obtain extreme multistability in coupled dynamical systems.
abstract: We present a method for designing an appropriate coupling scheme for two dynamical systems in order to realize extreme multistability. We achieve the coexistence of infinitely many attractors for a given set of parameters by using the concept of partial synchronization based on Lyapunov function stability. We show that the method is very general and allows a great flexibility in choosing the coupling. Furthermore, we demonstrate its applicability in different models, such as the Rössler system and a chemical oscillator. Finally we show that extreme multistability is robust with respect to parameter mismatch and, hence, a very general phenomenon in coupled systems.
authors.affiliation: Central Instrumentation, CSIR-Indian Institute of Chemical Biology, Kolkata, India
authors.forename: C R
authors.initials: CR
authors.lastname: Hens
authors.forename: R
authors.initials: R
authors.lastname: Banerjee
authors.forename: U
authors.initials: U
authors.lastname: Feudel
authors.forename: S K
authors.initials: SK
authors.lastname: Dana
mesh_terms: D017711:Nonlinear Dynamics