Results 11 to 20 of about 180,188 (276)
Homoclinic twist bifurcations with ℤ2 symmetry [PDF]
Journal of Nonlinear Science, 1994 We analyze bifurcations occurring in the vicinity of a homoclinic twist point for a generic two-parameter family of Z2 equivariant ODEs in four dimensions. The results are compared with numerical results for a system of two coupled Josephson junctions with pure capacitive load.
D. G. Aronson +2 more
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Bifurcation of Homoclinic Solutions for Hamiltonian Systems
Zeitschrift für Analysis und ihre Anwendungen, 2002 We consider the Hamiltonian system Ju'(x) + Mu(x) – \bigtriangledown _u F(x,u(x)) = \lambda u(x). Using variational methods obtained by Stuart on the one hand and by Giacomoni and Jeanjean on the other, we get bifurcation results for homoclinic solutions by imposing ...
Robert Joosten
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Heterodimensional cycles near homoclinic bifurcations
, 2016 In this thesis we study bifurcations of a pair of homoclinic loops to a saddle-focus equilibrium (with a one-dimensional unstable manifold) in flows with dimension four or higher. Particularly, we show that heterodimensional cycles can be born from such bifurcations.
Dongchen Li
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Bursting Oscillations in General Coupled Systems: A Review
Mathematics, 2023 In this paper, the bursting oscillation phenomenon in coupled systems with two time scales is introduced. Firstly, several types of bifurcation are briefly introduced: fold bifurcation, Hopf bifurcation, fold limit cycle bifurcation, homoclinic ...
Danjin Zhang, Youhua Qian
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Mathematical Biosciences and Engineering, 2023 In the present study, the effects of the strong Allee effect on the dynamics of the modified Leslie-Gower predator-prey model, in the presence of nonlinear prey-harvesting, have been investigated.
Manoj K. Singh +3 more
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Non-smooth homoclinic bifurcation in a conceptual climate model [PDF]
European journal of applied mathematics, 2016 Collision of equilibria with a splitting manifold has been locally studied, but might also be a contributing factor to global bifurcations. In particular, a boundary collision can be coincident with collision of a virtual equilibrium with a periodic ...
J. Leifeld
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Bifocal homoclinic bifurcations [PDF]
Physica D: Nonlinear Phenomena, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Laing, Carlo, Glendinning, Paul
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Homoclinic bifurcation in Chua’s circuit [PDF]
Pramana, 2005 We report our experimental observations of the Shil'nikov-type homoclinic chaos in asymmetry-induced Chua's oscillator. The asymmetry plays a crucial role in the related homoclinic bifurcations. The asymmetry is introduced in the circuit by forcing a DC voltage.
Dana, SK +2 more
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Controllability near a homoclinic bifurcation [PDF]
Systems & Control Letters, 2021 19 pages, 5 ...
Colonius, Fritz +2 more
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Mathematical Biosciences and Engineering, 2023 Since certain prey hide from predators to protect themselves within their habitats, predators are forced to change their diet due to a lack of prey for consumption, or on the contrary, subsist only with alternative food provided by the environment ...
Christian Cortés García +1 more
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