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Heteroclinic bifurcation
In mathematics, particularly dynamical systems, a heteroclinic bifurcation is a global bifurcation involving a heteroclinic cycle. Heteroclinic…
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2 relations
Bifurcation theory
Infinite-period bifurcation
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2015
2015
Periodic Solutions Generated by Impulses for State-Dependent Impulsive Differential Equation
Qizhen Xiao
,
B. Dai
2015
Corpus ID: 54047110
We study the existence of periodic solutions for a class of state-dependent impulsive differential systems via geometrical…
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2014
2014
Heteroclinic connections in the 1:4 resonance problem using nonlinear transformation method
K. Chung
,
Y. Cao
,
A. Fahsi
,
M. Belhaq
2014
Corpus ID: 5197959
In this paper, the method of nonlinear time transformation is applied to obtain analytical approximation of heteroclinic…
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2013
2013
Necessary conditions of topological conjugacy for three-dimensional diffeomorphisms with heteroclinic tangencies
Pochinka Olga
,
E. Grines
2013
Corpus ID: 124376309
s. In present paper we consider a class of 3-dimensional diffeomorphisms with finite hyperbolic chain recurrent set and finite…
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2013
2013
On Oscillations of Solutions of the Fourth-Order Thin Film Equation Near Heteroclinic Bifurcation Point
V. Galaktionov
2013
Corpus ID: 119131826
It is shown that solutions of the Cauchy for the fourth-order thin film equation becomes non-oscillatory and non-sign-changing…
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2012
2012
Analytical Approximation of heteroclinic bifurcation in a 1: 4 Resonance
A. Fahsi
,
M. Belhaq
International Journal of Bifurcation and Chaos in…
2012
Corpus ID: 14978645
Bifurcation of heteroclinic cycle near 1:4 resonance in a self-excited parametrically forced oscillator with quadratic…
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2012
2012
The transition to chaotic phase synchronization
E. Mosekilde
,
J. Laugesen
,
Z. T. Zhusubaliyev
2012
Corpus ID: 53073272
The transition to chaotic phase synchronization for a periodically driven spiral-type chaotic oscillator is known to involve a…
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2010
2010
On the number of limit cycles of a Z4-equivariant quintic polynomial system
Weijiao Xu
,
Maoan Han
Applied Mathematics and Computation
2010
Corpus ID: 30709872
2008
2008
Heteroclinic Bifurcation of Strongly Nonlinear Oscillator
张琪昌
,
王炜
,
李伟义
2008
Corpus ID: 118277749
强烈非线性的振荡器的异种诊所分叉的分析预言被使用扩大正常形式方法介绍。我们由介绍未经决定的基本频率考虑系统题目的近似周期的解决方案到 quintic 非线性。为 heteroclinicity…
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2007
2007
Bifurcation Analysis of Current Coupled BVP oscillators
S. Tsuji
,
T. Ueta
,
H. Kawakami
International Journal of Bifurcation and Chaos in…
2007
Corpus ID: 10519478
The Bonhoffer-van der Pol (BVP) oscillator is a simple circuit implementation describing neuronal dynamics. Lately the diffusive…
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2004
2004
A Remark on heteroclinic bifurcations Near Steady State/Pitchfork bifurcations
V. Kirk
,
E. Knobloch
International Journal of Bifurcation and Chaos in…
2004
Corpus ID: 9499694
We consider a bifurcation that occurs in some two-dimensional vector fields, namely a codimension-one bifurcation in which there…
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