title: Driving-induced multistability in coupled chaotic oscillators: Symmetries and riddled basins.
abstract: We study the multistability that results when a chaotic response system that has an invariant symmetry is driven by another chaotic oscillator. We observe that there is a transition from a desynchronized state to a situation of multistability. In the case considered, there are three coexisting attractors, two of which are synchronized and one is desynchronized. For large coupling, the asynchronous attractor disappears, leaving the system bistable. We study the basins of attraction of the system in the regime of multistability. The three attractor basins are interwoven in a complex manner, with extensive riddling within a sizeable region of (but not the entire) phase space. A quantitative characterization of the riddling behavior is made via the so-called uncertainty exponent, as well as by evaluating the scaling behavior of tongue-like structures emanating from the synchronization manifold.
authors.affiliation: School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India.
authors.forename: Sangeeta Rani
authors.initials: SR
authors.lastname: Ujjwal
authors.affiliation: Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India.
authors.forename: Nirmal
authors.initials: N
authors.lastname: Punetha
authors.affiliation: School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India.
authors.forename: Ram
authors.initials: R
authors.lastname: Ramaswamy
authors.affiliation: Department of Physics, Sri Aurobindo College, University of Delhi, New Delhi 110017, India.
authors.forename: Manish
authors.initials: M
authors.lastname: Agrawal
authors.affiliation: Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India.
authors.forename: Awadhesh
authors.initials: A
authors.lastname: Prasad