Driving-induced multistability in coupled chaotic oscillators: Symmetries and riddled basins

Sangeeta Rani Ujjwal, Nirmal Punetha, Ram Ramaswamy, Manish Agrawal, Awadhesh Prasad

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

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.

Original languageEnglish
Article number063111
JournalChaos
Volume26
Issue number6
DOIs
StatePublished - 1 Jun 2016
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy (all)
  • Applied Mathematics

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