Results 11 to 20 of about 7,371 (144)
Controllability near a homoclinic bifurcation [PDF]
Systems & Control Letters, 2021 19 pages, 5 ...
Amani Hasan +3 more
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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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Bifocal homoclinic bifurcations [PDF]
Physica D: Nonlinear Phenomena, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paul Glendinning, Carlo R. Laing
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Homoclinic bifurcations for the Hénon map [PDF]
Physica D: Nonlinear Phenomena, 1999 To appear in PhysicaD: 43 Pages, 14 ...
Holger R. Dullin +2 more
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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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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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Dynamic behaviors of a Leslie-Gower model with strong Allee effect and fear effect in prey
Mathematical Biosciences and Engineering, 2023 We incorporate the strong Allee effect and fear effect in prey into a Leslie-Gower model. The origin is an attractor, which implies that the ecological system collapses at low densities.
Zhenliang Zhu +3 more
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Global orbit of a complicated nonlinear system with the global dynamic frequency method
Journal of Low Frequency Noise, Vibration and Active Control, 2021 Global orbits connect the saddle points in an infinite period through the homoclinic and heteroclinic types of manifolds. Different from the periodic movement analysis, it requires special strategies to obtain expression of the orbit and detect the ...
Zhixia Wang +3 more
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Bifurcation of homoclinics [PDF]
Proceedings of the American Mathematical Society, 2007 We show that homoclinic trajectories of nonautonomous vector fields parametrized by a circle bifurcate from the stationary solution when the asymptotic stable bundles of the linearization at plus and minus infinity are “twisted” in different ways.
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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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