Freak chimera states in a locally coupled Duffing oscillators chain. (English) Zbl 1455.34031
This paper considers a chain of periodically forced Duffing oscillators, diffusively coupled to their two nearest neighbours. Parameters are set so that an uncoupled oscillator is in a bistable state. There may exist states for which a group of oscillators are near one of the uncoupled attractors, behaving approximately periodically, while the rest are near the other uncoupled attractor, which has more complex behaviour. Such a state is referred to as a “chimera”. If one group is near an attractor and behaving in a complex way, and the other group is near the other attractor, also behaving in a complex way, this is referred to as a “freak chimera”. Transitions from a chimera to a freak chimera are numerically investigated as the amplitude of forcing and strength of coupling are varied.
Reviewer: Carlo Laing (Auckland)
MSC:
| 34C15 | Nonlinear oscillations and coupled oscillators for ordinary differential equations |
| 34D05 | Asymptotic properties of solutions to ordinary differential equations |
| 37C60 | Nonautonomous smooth dynamical systems |
| 34D45 | Attractors of solutions to ordinary differential equations |
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