Chimera regimes in a ring of elements with local unidirectional interaction (Q2821434)
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scientific article; zbMATH DE number 6628699
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Chimera regimes in a ring of elements with local unidirectional interaction |
scientific article; zbMATH DE number 6628699 |
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Chimera regimes in a ring of elements with local unidirectional interaction (English)
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20 September 2016
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chimera states
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coupled oscillators
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unidirectional ring
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modified Ikeda oscillator
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The authors carry out a numerical study of a ring of unidirectionally coupled modified Ikeda oscillators described by the system NEWLINE\[NEWLINE \varepsilon \frac{dx_j}{dt} = - \delta y_j - x_j + k f(x_{j-1}), \quad \frac{dy_j}{dt} = x_j,\qquad j=1,\dots,N, NEWLINE\]NEWLINE where NEWLINE\[NEWLINE f(x) = \frac{\beta}{1 + m \sin^2(x + \Phi_0)}. NEWLINE\]NEWLINE They identify parameter values for which this system displays traveling chimera-like patterns, i.e. spatio-temporal patterns characterized by spatially intermittent coherent and incoherent behavior.
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