title: Phase-flip and oscillation-quenching-state transitions through environmental diffusive coupling.
abstract: We study the dynamics of nonlinear oscillators coupled through environmental diffusive coupling. The interaction between the dynamical systems is maintained through its agents which, in turn, interact globally with each other in the common dynamical environment. We show that this form of coupling scheme can induce an important transition like phase-flip transition as well transitions among oscillation quenching states in identical limit-cycle oscillators. This behavior is analyzed in the parameter plane by analytical and numerical studies of specific cases of the Stuart-Landau oscillator and van der Pol oscillator. Experimental evidences of the phase-flip transition and quenching states are shown using an electronic version of the van der Pol oscillators.
authors.affiliation: The Institute of Mathematical Science, CIT Campus, Taramani, Chennai 600113, India.
authors.forename: Amit
authors.initials: A
authors.lastname: Sharma
authors.affiliation: Department of Physics, Central University of Rajasthan, Ajmer 305 817, India.
authors.forename: Umesh Kumar
authors.initials: UK
authors.lastname: Verma
authors.affiliation: Department of Physics, Central University of Rajasthan, Ajmer 305 817, India.
authors.forename: Manish Dev
authors.initials: MD
authors.lastname: Shrimali