title: Diverse routes of transition from amplitude to oscillation death in coupled oscillators under additional repulsive links.
abstract: We report the existence of diverse routes of transition from amplitude death to oscillation death in three different diffusively coupled systems, which are perturbed by a symmetry breaking repulsive coupling link. For limit-cycle systems the transition is through a pitchfork bifurcation, as has been noted before, but in chaotic systems it can be through a saddle-node or a transcritical bifurcation depending on the nature of the underlying dynamics of the individual systems. The diversity of the routes and their dependence on the complex dynamics of the coupled systems not only broadens our understanding of this important phenomenon but can lead to potentially new practical applications.
authors.affiliation: CSIR-Indian Institute of Chemical Biology, Kolkata 700032, India.
authors.forename: C R
authors.initials: CR
authors.lastname: Hens
authors.affiliation: Department of Mathematics, National Institute of Technology, Durgapur 713209, India.
authors.forename: Pinaki
authors.initials: P
authors.lastname: Pal
authors.affiliation: CSIR-Indian Institute of Chemical Biology, Kolkata 700032, India and Department of Electronics, Asutosh College, Kolkata 700026, India.
authors.forename: Sourav K
authors.initials: SK
authors.lastname: Bhowmick
authors.affiliation: Department of Physics, Presidency University, Kolkata 700073, India.
authors.forename: Prodyot K
authors.initials: PK
authors.lastname: Roy
authors.affiliation: Institute for Plasma Research, Gandhinagar 382428, India.
authors.forename: Abhijit
authors.initials: A
authors.lastname: Sen
authors.affiliation: CSIR-Indian Institute of Chemical Biology, Kolkata 700032, India.
authors.forename: Syamal K
authors.initials: SK
authors.lastname: Dana
mesh_terms: D000818:Animals; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D025461:Feedback, Physiological / Q000502:physiology*; D006801:Humans; D008954:Models, Biological; D009991:Oscillometry / Q000379:methods*