Phase-flip bifurcation and synchronous transition in unidirectionally coupled parametrically excited pendula
Chaotic Dynamics
2018-01-18 v1
Abstract
Phase-flip bifurcation plays an important role in the transition to synchronization state in unidirectionally coupled parametrically excited pendula. In coupled identical system it is the cause of complete synchronization whereas in case of coupled non-identical system it causes desynchronization. In coupled identical systems negativity of conditional Lyapunov exponent is not always sufficient for complete synchronization. In complete synchronization state the largest conditional Lyapunov exponent and the second largest Lyapunov exponent are equal in magnitude and slope.
Keywords
Cite
@article{arxiv.1801.05572,
title = {Phase-flip bifurcation and synchronous transition in unidirectionally coupled parametrically excited pendula},
author = {S. Satpathy and B. Ganguli},
journal= {arXiv preprint arXiv:1801.05572},
year = {2018}
}
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7 pages