Results 91 to 100 of about 10,271 (227)
Homoclinic Bifurcation of a Grid-Forming Voltage Source Converter
IEEE transactions on power electronics, 2021 Jingxi Yang +3 more
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Homoclinic points and Floer homology [PDF]
Journal of Symplectic Geometry, 2013 55 pages, 17 figures; In accordance with the journal's copyright, I am making a preprint version of my published paper available on the ...
openaire +5 more sources
Abstract and Applied Analysis, 2013 We study a class of nonperiodic damped vibration systems with asymptotically quadratic terms at infinity. We obtain infinitely many nontrivial homoclinic orbits by a variant fountain theorem developed recently by Zou.
Guanwei Chen
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Bifurcation diagrams for singularly perturbed system: the multi-dimensional case.
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We consider a singularly perturbed system where the fast dynamics of the unperturbed problem exhibits a trajectory homoclinic to a critical point. We assume that the slow time system admits a unique critical point, which undergoes a bifurcation as a ...
Matteo Franca
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Homoclinic orbits for a class of discrete periodic Hamiltonian systems
, 2015 . In this paper we establish new criteria for the existence of nontrivial homoclinic orbits to a class of discrete Hamiltonian systems. Our re- sults do not need to suppose that the system satisfies the well-known global Ambrosetti-Rabinowitz ...
Qinqin Zhang
semanticscholar +1 more source
Journal of Biological Dynamics, 2020 In this paper, Melnikov analysis of chaos in a simple SIR model with periodically or stochastically modulated nonlinear incidence rate and the effect of periodic and bounded noise on the chaotic motion of SIR model possessing homoclinic orbits are ...
Yanxiang Shi
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Моделирование и анализ информационных систем, 2015 We consider a finite-dimensional model of phase oscillators with inertia in the case of star configuration of coupling. The system of equations is reduced to a nonlinearly coupled system of pendulum equations.
V. N. Belykh +2 more
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Limit cycle bifurcations near generalized homoclinic loop in piecewise smooth differential systems
, 2015 This paper deals with the maximum number of limit cycles, which can be bifurcated from periodic orbits of planar piecewise smooth Hamiltonian systems, which are located in a neighborhood of a generalized homoclinic loop with a nilpotent saddle on a ...
Lijun Wei, Xiang Zhang
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Homoclinic orbits for a class of symmetric Hamiltonian systems
Electronic Journal of Differential Equations, 1994 of Hamiltonian systems that are symmetric with respect to independent variable (time). For the scalar case we prove existence and uniqueness of a positive homoclinic solution. For the system case we prove existence of symmetric homoclinic orbits.
Philip Korman, Alan C. Lazer
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On the so called rogue waves in nonlinear Schrodinger equations
Electronic Journal of Differential Equations, 2016 The mechanism of a rogue water wave is still unknown. One popular conjecture is that the Peregrine wave solution of the nonlinear Schrodinger equation (NLS) provides a mechanism. A Peregrine wave solution can be obtained by taking the infinite spatial
Y. Charles Li
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