Results 211 to 220 of about 8,079 (237)
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Interfacing at the Stochastic Separatrix
2013This chapter introduces the concept of the stochastic separatrix and elaborates its application in clarifying the notion of transitions between relatively long-lived states and short-lived transition states. These may be noise-induced transitions over high barriers or the squeezing of Brownian motion through narrow necks connecting relatively large ...
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Classification of Separatrix Cycles
2003In this chapter, separatrix cycles of polynomial dynamical systems are considered. Unlike the well-known Andronov-Hopf bifurcation which has a local character and is related to the birth of limit cycles from a singular point, the separatrix cycle bifurcation is studied insufficiently completely and is very important both for the problem of the maximum ...
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Suppression of chaos in the vicinity of a separatrix
Journal of Experimental and Theoretical Physics, 2004The standard Melnikov method for analyzing the onset of chaos in the vicinity of a separatrix is used to explore the possibility of suppressing chaos of dynamical systems of a certain class. Analytical expressions are obtained for external perturbations that eliminate chaotic behavior.
A. Yu. Loskutov, A. R. Dzhanoev
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Oscillations near a separatrix in the duffing equation
Proceedings of the Steklov Institute of Mathematics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON BIFURCATIONS OF SEPARATRIX CONTOURS WITH TWO SADDLES
International Journal of Bifurcation and Chaos, 1992Bifurcations in two-parameter families containing a dynamical system having a heteroclinic orbit connecting type-a saddle equilibrium points are investigated. The existence of a countable set of bifurcation curves corresponding to saddle connections is discussed.
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PLASMA EQUILIBRIUM WITH INNER SEPARATRIX IN TOKAMAKS
Физика плазмы / Plasma Physics ReportsSeveral plasma equilibria with inner (current and magnetic) separatrices in a tokamak have been considered. Calculated and available experimental data for such equilibria have been compared. It is shown that a qualitative change in the equilibrium plasma configuration is possible at a small change in the inner plasma inductance in a tokamak.
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Separatrix Maps in Slow–Fast Hamiltonian Systems
Proceedings of the Steklov Institute of Mathematics, 2023Sergey V Bolotin
exaly
Separatrix reconstruction to identify tipping points in an eco-epidemiological model
Applied Mathematics and Computation, 2018E. Francomano +3 more
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