Results 191 to 200 of about 7,811,799 (238)

Homoclinic bifurcation of prey-predator model with impulsive state feedback control

Applied Mathematics and Computation, 2014
Chunjin Wei, Lansun Chen
semanticscholar   +3 more sources

Homoclinic solutions for Davey-Stewartson equation

Chaos, Solitons & Fractals, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Jian, Dai, Zhengde
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Generic existence of nondegenerate homoclinic solutions

Lobachevskii Journal of Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Motreanu, D., Motreanu, V. V.
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The Existence of Homoclinic Solutions for Hyperbolic Equations

Journal of Applied Analysis, 1995
Summary: We present a new variational method general enough to treat the problem of the existence of homoclinic solutions for the following semilinear wave equation: \[ x_{tt} (t,y)-x_{yy} (t,y)+ g\bigl(t,y,x(t,y) \bigr)=0 \quad \text{for} \quad ...
Nowakowski, A., Rogowski, A.
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Swing equation in power systems: Approximate analytical solution and bifurcation curve estimate.

Chaos, 2020
The swing equation plays a central role in the model and analysis of power system dynamics, including small-signal stability and transient stability. As it has the same form as that in a variety of different disciplines, such as the forced pendulum in ...
Qi Qiu, Rui Ma, J. Kurths, M. Zhan
semanticscholar   +1 more source

Homoclinic Solutions of Differential Equations

2001
In recent years, starting with works of Bolotin [Bol], Coti-Zelati, Ekeland and Sere [CZES], Coti-Zelati & Rabinowitz [CZR1], [CZR2], Rabinowitz [Ra4], variational methods have been applied to study the existence of homoclinic and heteroclinic solutions of second-order equations and Hamiltonian systems.
Maria do Rosário Grossinho, Stepan Agop Tersian   +1 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 ...
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Homoclinic solutions for fractional discrete Laplacian equations

Nonlinear Analysis, 2020
The authors consider connegative homoclinic solutions of fractional difference equation by the fractional discrete Laplacian with a positive parameter. The variational method is applied using the mountain-pass theorem. The main result Theorem 1.1 is proved in Section 3. The paper is complete and clearly written.
Xiang, Mingqi, Zhang, Binlin
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Homoclinic breather wave, rouge wave and interaction solutions for a (3+1)-dimensional KdV-type equation

Physica Scripta, 2019
Based on symbolic computations, homoclinic breather wave, rouge wave and interaction solutions to the (3+1)-dimensional KdV-type equation are constructed.
Na Liu, Yansheng Liu
semanticscholar   +1 more source

Homoclinic breather-wave solutions for Sine–Gordon equation

Communications in Nonlinear Science and Numerical Simulation, 2009
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Dai, Zhengde, Xian, Daquan
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