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Nonlinear dynamics of a coupled micro-ring resonator chain
Nonlinear dynamics coupled micro-ring resonator chain
2010/12/28
We study nonlinear wave phenomena in a coupled ring resonator optical waveguide in the tight coupling regime. The discrete nonlinear Bloch modes of the structure are derived. The switching behavior of...
Collective Phase Chaos in the Dynamics of Interacting Oscillator Ensembles
Oscillator populations Kuramoto transition hyperbolic chaos robust chaos
2010/12/28
We study chaotic behavior of order parameters in two coupled ensembles of selfsustained oscillators. Coupling within each of these ensembles is switched on and off alternately, while the mutual intera...
Momentum conservation in dissipationless reduced-fluid dynamics
Momentum conservation dissipationless reduced-fluid dynamics
2010/12/15
The momentum conservation law for general dissipationless reduced-fluid (e.g., gyrofluid) models is derived by Noether method from a variational principle. The reduced-fluid momentum density and the r...