Transition from amplitude to oscillation death in a network of oscillators
- Dr. B. C. Roy Engineering College, Durgapur 713206 (India)
- CSIR-Indian Institute of Chemical Biology, Jadavpur, Kolkata 700032 (India)
- Department of Mathematics, National Institute of Technology, Durgapur 713209 (India)
We report a transition from a homogeneous steady state (HSS) to inhomogeneous steady states (IHSSs) in a network of globally coupled identical oscillators. We perturb a synchronized population of oscillators in the network with a few local negative or repulsive mean field links. The whole population splits into two clusters for a certain number of repulsive mean field links and a range of coupling strength. For further increase of the strength of interaction, these clusters collapse into a HSS followed by a transition to IHSSs where all the oscillators populate either of the two stable steady states. We analytically determine the origin of HSS and its transition to IHSS in relation to the number of repulsive mean-field links and the strength of interaction using a reductionism approach to the model network. We verify the results with numerical examples of the paradigmatic Landau-Stuart limit cycle system and the chaotic Rössler oscillator as dynamical nodes. During the transition from HSS to IHSSs, the network follows the Turing type symmetry breaking pitchfork or transcritical bifurcation depending upon the system dynamics.
- OSTI ID:
- 22351001
- Journal Information:
- Chaos (Woodbury, N. Y.), Vol. 24, Issue 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1054-1500
- Country of Publication:
- United States
- Language:
- English
Similar Records
Intermittent and sustained periodic windows in networked chaotic Rössler oscillators
Intermittent and sustained periodic windows in networked chaotic Rössler oscillators