Results 161 to 170 of about 5,108 (187)
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Bifurcations of heteroclinic loops
Science in China Series A: Mathematics, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhu, Deming, Xia, Zhihong
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Explosions: global bifurcations at heteroclinic tangencies
Ergodic Theory and Dynamical Systems, 2002We 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.
Alligood, K., Sander, E., Yorke, J.
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Observing a codimension-two heteroclinic bifurcation
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1993This paper reports experimental observations of codimension-two heteroclinic bifurcations in an autonomous third-order electrical circuit. The paper also reports confirmations by computer simulations. In the laboratory experiments, a pair of programmable resistors are used in order to adjust two bifurcation parameters.
Tokunaga, Ryuji +2 more
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Homoclinic and Heteroclinic Bifurcations Close to a Twisted Heteroclinic Cycle
International Journal of Bifurcation and Chaos, 1998We study the interaction of a transcritical (or saddle-node) bifurcation with a codimension-0/codimension-2 heteroclinic cycle close to (but away from) the local bifurcation point. The study is motivated by numerical observations on the traveling wave ODE of a reaction–diffusion equation.
Zimmermann, Martín G. +1 more
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BIFURCATIONS OF GENERIC HETEROCLINIC LOOP ACCOMPANIED BY TRANSCRITICAL BIFURCATION
International Journal of Bifurcation and Chaos, 2008The bifurcations of generic heteroclinic loop with one nonhyperbolic equilibrium p1and one hyperbolic saddle p2are investigated, where p1is assumed to undergo transcritical bifurcation. Firstly, we discuss bifurcations of heteroclinic loop when transcritical bifurcation does not happen, the persistence of heteroclinic loop, the existence of homoclinic ...
Geng, Fengjie, Liu, Dan, Zhu, Deming
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Heteroclinic bifurcation in memristor oscillators
2011 20th European Conference on Circuit Theory and Design (ECCTD), 2011A 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 +2 more
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Bifurcations of Heteroclinic Loop with Twisted Conditions
International Journal of Bifurcation and Chaos, 2017The bifurcation problems of twisted heteroclinic loop with two hyperbolic critical points are studied for the case [Formula: see text], [Formula: see text], [Formula: see text], where [Formula: see text] and [Formula: see text] are the pair of principal eigenvalues of unperturbed system at the critical point [Formula: see text], [Formula: see text ...
Yinlai Jin +4 more
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Bifurcations of heteroclinic loop accompanied by pitchfork bifurcation
Nonlinear Dynamics, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Geng, Fengjie, Xu, Yancong
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A REMARK ON HETEROCLINIC BIFURCATIONS NEAR STEADY STATE/PITCHFORK BIFURCATIONS
International Journal of Bifurcation and Chaos, 2004We consider a bifurcation that occurs in some two-dimensional vector fields, namely a codimension-one bifurcation in which there is simultaneously the creation of a pair of equilibria via a steady state bifurcation and the destruction of a large amplitude periodic orbit.
Kirk, Vivien, Knobloch, Edgar
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Heteroclinic Bifurcation of Strongly Nonlinear Oscillator
Chinese Physics Letters, 2008Analytical 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.
Zhang Qi-Chang, Wang Wei, Li Wei-Yi
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