Results 191 to 200 of about 6,100 (243)

Global dynamics of a special class of planar sector-wise linear systems

Electronic Journal of Differential Equations
Qian-Qian Han, Song-Mei Huan
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Heteroclinic bifurcation in memristor oscillators

2011 20th European Conference on Circuit Theory and Design (ECCTD), 2011
A simple memristor-based oscillatory network has been recently proposed as building block for the realization of associative and dynamic oscillatory memories for spatio-temporal pattern recognition applications. The network was found to experience a gamut of complex dynamic behaviors.
CORINTO, FERNANDO, ASCOLI, ALON, GILLI, MARCO   +2 more
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T-points: A codimension two heteroclinic bifurcation

Journal of Statistical Physics, 1986
The local bifurcation structure of a heteroclinic bifurcation which has been observed in the Lorenz equations is analyzed. The existence of a particular heteroclinic loop at one point in a two-dimensional parameter space (a ``T point'') implies the existence of a line of heteroclinic loops and a logarithmic spiral of homoclinic orbits, as well as ...
Colin Sparrow, Paul Glendinning
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Heteroclinic Bifurcation of Strongly Nonlinear Oscillator

Chinese Physics Letters, 2008
Analytical prediction of heteroclinic bifurcation of the strongly nonlinear oscillator is presented by using the extended normal form method. We consider the approximate periodic solution of the system subject to the quintic nonlinearity by introducing the undetermined fundamental frequency.
Li Wei-Yi, Wang Wei, Zhang Qi-Chang
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A heteroclinic bifurcation of Anosov diffeomorphisms

Ergodic Theory and Dynamical Systems, 1998
We study some diffeomorphisms in the boundary of the set of Anosov diffeomorphisms mainly from the ergodic viewpoint. We prove that these diffeomorphisms, obtained by isotopy from an Anosov $f:M \mapsto M$ through a heteroclinic tangency, determine a manifold ${\cal M}$ of finite codimension in the set of $C^r$ diffeomorphisms.
H. Enrich
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An equivariant, inclination-flip, heteroclinic bifurcation

Nonlinearity, 1996
Summary: We examine a heteroclinic bifurcation occurring in families of equivariant vector fields. Within these families, the flows contain structurally stable heteroclinic cycles. The flow can twist around the cycle to produce what is the equivalent of an `inclination-flip' homoclinic orbit.
P. Worfolk
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Heteroclinic bifurcation in a ratio-dependent predator-prey system

Journal of Mathematical Biology, 2004
In this paper we study the heteroclinic bifurcation in a general ratio-dependent predator-prey system. Based on the results of heteroclinic loop obtained in [J. Math. Biol. 43(2001): 221-246], we give parametric conditions of the existence of the heteroclinic loop analytically and describe the heteroclinic bifurcation surface in the parameter space, so
Yilei Tang, Weinian Zhang
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Bifurcations of nontwisted heteroclinic loop [PDF]

Science in China Series A: Mathematics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deming Zhu, Qingping Tian
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Bifurcations of heteroclinic loops

Science in China Series A: Mathematics, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deming Zhu, Zhihong Xia
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Explosions: global bifurcations at heteroclinic tangencies [PDF]

Ergodic Theory and Dynamical Systems, 2002
We investigate bifurcations in the chain recurrent set for a particular class of one-parameter families of diffeomorphisms in the plane. We give necessary and sufficient conditions for a discontinuous change in the chain recurrent set to occur at a point of heteroclinic tangency.
Kathleen T. Alligood, James A. Yorke, Evelyn Sander   +2 more
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