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Impact of mild hyperthermia on tumor-immune dynamics explored through mathematical modeling. [PDF]
Barrera-León AS +2 more
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SHILNIKOV BIFURCATION: STATIONARY QUASI-REVERSAL BIFURCATION
International Journal of Bifurcation and Chaos, 2008A 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
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Periodically Perturbed Bifurcation. II. Hopf Bifurcation
Studies in Applied Mathematics, 1981We 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.
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OBSERVABILITY BIFURCATION VERSUS OBSERVING BIFURCATIONS
IFAC Proceedings Volumes, 2002Abstract 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
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