title: Oscillation suppression in indirectly coupled limit cycle oscillators.
abstract: We study the phenomena of oscillation quenching in a system of limit cycle oscillators which are coupled indirectly via a dynamic environment. The dynamics of the environment is assumed to decay exponentially with some decay parameter. We show that for appropriate coupling strength, the decay parameter of the environment plays a crucial role in the emergent dynamics such as amplitude death (AD) and oscillation death (OD). The critical curves for the regions of oscillation quenching as a function of coupling strength and decay parameter of the environment are obtained analytically using linear stability analysis and are found to be consistent with the numerics.
authors.affiliation: Department of Physics, Central University of Rajasthan, Ajmer 305 817, India.
authors.forename: Neeraj Kumar
authors.initials: NK
authors.lastname: Kamal
authors.affiliation: Department of Physics, Central University of Rajasthan, Ajmer 305 817, India.
authors.forename: Pooja Rani
authors.initials: PR
authors.lastname: Sharma
authors.affiliation: Department of Physics, Central University of Rajasthan, Ajmer 305 817, India.
authors.forename: Manish Dev
authors.initials: MD
authors.lastname: Shrimali