Results 271 to 280 of about 406,011 (306)

SHILNIKOV BIFURCATION: STATIONARY QUASI-REVERSAL BIFURCATION

International Journal of Bifurcation and Chaos, 2008
A generic stationary instability that arises in quasi-reversible systems is studied. It is characterized by the confluence of three eigenvalues at the origin of complex plane with only one eigenfunction. We characterize the dynamics through the normal form that exhibits in particular, Shilnikov chaos, for which we give an analytical prediction.
Clerc Gavilán, Marcel   +2 more
openaire   +2 more sources

Periodically Perturbed Bifurcation. II. Hopf Bifurcation

Studies in Applied Mathematics, 1981
We consider the effect of a periodic perturbation on the bifurcation behavior of a system of differential equations. It is shown that periodic solutions are, in general, modified into quasiperiodic solutions. Different phenomena are encountered in resonance and near‐resonance conditions, leading in some cases to separation of solution branches and in ...
Rosenblat, S., Cohen, Donald S.
openaire   +3 more sources

OBSERVABILITY BIFURCATION VERSUS OBSERVING BIFURCATIONS

IFAC Proceedings Volumes, 2002
Abstract In this paper we highlight the difference between observability bifurcation and observing bifurcation. From this, we deduce that one way to improve transmission by synchronization of chaotic systems may be chaotic transmitter with also observability bifurcation.
L. Boutat-Baddas   +3 more
openaire   +1 more source

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