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Published on: May 9, 2021
Transition from amplitude to oscillation death via Turing bifurcation
Aneta Koseska1, Evgenii Volkov, Jürgen Kurths
1Institute of Physics, Humboldt-University, 10099 Berlin, Germany. aneta.koseska@mpi-dortmund.mpg.de
Abstract:
Coupled oscillators are shown to experience two structurally different oscillation quenching types: amplitude death (AD) and oscillation death (OD). We demonstrate that both AD and OD can occur in one system and find that the transition between them underlies a classical, Turing-type bifurcation, providing a clear classification of these significantly different dynamical regimes. The implications of obtaining a homogeneous (AD) or inhomogeneous (OD) steady state, as well as their significance for physical and biological applications and control studies, are also pointed out.
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