title: Extreme multistability: Attractor manipulation and robustness.
abstract: The coexistence of infinitely many attractors is called extreme multistability in dynamical systems. In coupled systems, this phenomenon is closely related to partial synchrony and characterized by the emergence of a conserved quantity. We propose a general design of coupling that leads to partial synchronization, which may be a partial complete synchronization or partial antisynchronization and even a mixed state of complete synchronization and antisynchronization in two coupled systems and, thereby reveal the emergence of extreme multistability. The proposed design of coupling has wider options and allows amplification or attenuation of the amplitude of the attractors whenever it is necessary. We demonstrate that this phenomenon is robust to parameter mismatch of the coupled oscillators.
authors.affiliation: CSIR-Indian Institute of Chemical Biology, Kolkata 700032, India.
authors.forename: Chittaranjan
authors.initials: C
authors.lastname: Hens
authors.affiliation: CSIR-Indian Institute of Chemical Biology, Kolkata 700032, 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, Oldenburg, Germany.
authors.forename: Ulrike
authors.initials: U
authors.lastname: Feudel