In this paper we present global coordinates for the kink-antikink breather sine-Gordon phase space with a separatrix and singular points. Using these coordinates we derive reduced equations governing perturbed dynamics, and we use them in a Melnikov calculation to establish the presence of chaos in the reduced sine-Gordon system.
GLOBAL COORDINATES FOR THE BREATHER-KINK (ANTIKINK) SINE-GORDON PHASE-SPACE - AN EXPLICIT SEPARATRIX AS A POSSIBLE SOURCE OF CHAOS
SALERNO, Mario
1989
Abstract
In this paper we present global coordinates for the kink-antikink breather sine-Gordon phase space with a separatrix and singular points. Using these coordinates we derive reduced equations governing perturbed dynamics, and we use them in a Melnikov calculation to establish the presence of chaos in the reduced sine-Gordon system.File in questo prodotto:
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