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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 ...
Fengjie Geng, Dan Liu, Deming Zhu
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International Journal of Bifurcation and Chaos, 2003
In the Letter, we propose a simple, yet general and mathematically rigorous bifurcation control method for bifurcation suppression in an abstract system setting that covers both continuous and discrete cases defined by nonlinear operators in Banach spaces.
Guanrong Chen, Changpin Li
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In the Letter, we propose a simple, yet general and mathematically rigorous bifurcation control method for bifurcation suppression in an abstract system setting that covers both continuous and discrete cases defined by nonlinear operators in Banach spaces.
Guanrong Chen, Changpin Li
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BIFURCATIONS ON ELLIPTIC FUNCTIONS
International Journal of Bifurcation and Chaos, 2001In this paper we are dealing with the dynamical properties of the Jacobian elliptic functions, cosine-amplitude and sine-amplitude. Seen as one parameter dynamical systems, they present a flip type bifurcation at the origin. In fact they are particular cases of some general families of functions holding sufficient conditions we call degenerate.
Francisco Balibrea +2 more
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Bifurcation Properties for Fractional Order Delayed BAM Neural Networks
Cognitive Computation, 2021Changjin Xu +4 more
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Modeling, Analysis and Bifurcation Control of a Delayed Fractional-Order Predator-Prey Model
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2018This paper basically concentrates on the bifurcation control of a fractional delayed predator–prey system via feedback control methodology. Firstly, time delay is regarded as a bifurcation parameter, and the delay-induced bifurcation conditions for such ...
Chengdai Huang +4 more
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Infinite Period Bifurcation and Global Bifurcation Branches
SIAM Journal on Applied Mathematics, 1981Branches of periodic solutions which exhibit the alternatives of the global Hopf bifurcation theorem are calculated for two general systems of differential equations.
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Bifurcation of Elastic Multilayers
2013The occurrence of a bifurcation in a multilayer structure during loading sets a limit on its deformability, and therefore represents an important factor in the design of composites. Since bifurcationis strongly influenced by the contact conditions at the interfaces between the layers, the mechanical modeling of these conditions is crucial.
Bigoni, Davide +2 more
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Singularities, bifurcations, and catastrophes
Soviet Physics Uspekhi, 1983See the review in Zbl 0643.58013.
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Singularities and groups in bifurcation theory
, 1985M. Golubitsky, D. Schaeffer
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