Modulated Amplitude Waves and the Transition from Phase to Defect Chaos

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The mechanism for transitions from phase to defect chaos in the one-dimensional complex Ginzburg-Landau equation (CGLE) is presented. We introduce and describe periodic coherent structures of the CGLE, called Modulated Amplitude Waves (MAWs). MAWs of various period P occur naturally in phase chaotic states. A bifurcation study of the MAWs reveals that for sufficiently large period P, pairs of MAWs cease to exist via a saddle-node bifurcation. For periods beyond this bifurcation, incoherent near-MAW structures occur which evolve toward defects. This leads to our main result: the transition from phase to defect chaos takes place when the periods of MAWs in phase chaos are driven beyond their saddle-node bifurcation.
4 pages, 5 figures minor changes in the text

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Chaotic Dynamics, Disordered Systems and Neural Networks, Dynamical Systems, Pattern Formation and Solitons, Fluid Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/79733

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0001068
 http://arxiv.org/abs/nlin/0001068
 Phys. Rev. Lett. 85, 86 (2000)
 doi:10.1103/PhysRevLett.85.86

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arXiv