title: Phase-flip transition in nonlinear oscillators coupled by dynamic environment.
abstract: We study the dynamics of nonlinear oscillators indirectly coupled through a dynamical environment or a common medium. We observed that this form of indirect coupling leads to synchronization and phase-flip transition in periodic as well as chaotic regime of oscillators. The phase-flip transition from in- to anti-phase synchronization or vise-versa is analyzed in the parameter plane with examples of Landau-Stuart and Rössler oscillators. The dynamical transitions are characterized using various indices such as average phase difference, frequency, and Lyapunov exponents. Experimental evidence of the phase-flip transition is shown using an electronic version of the van der Pol oscillators.
authors: The LNM Institute of Information Technology, Jaipur 302031, India.
authors: Amit
authors: A
authors: Sharma
authors: Manish Dev
authors: MD
authors: Shrimali
authors: Syamal Kumar
authors: SK
authors: Dana