Results 31 to 40 of about 8,851 (211)
Center Manifolds for Homoclinic Solutions
Journal of Dynamics and Differential Equations, 2000 In this article, center-manifold theory for homoclinic solutions of ordinary differential equations or semilinear parabolic equations is developed. Here, a center manifold along a homoclinic orbit q(t) is a locally invariant manifold containing all solutions which stay close to q(t) in phase space for all times. Therefore, as usual, the low-dimensional
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Smooth and non-smooth traveling wave solutions of some generalized Camassa-Holm equations
, 2013 In this paper we employ two recent analytical approaches to investigate the possible classes of traveling wave solutions of some members of a recently-derived integrable family of generalized Camassa-Holm (GCH) equations.
Choudhury, S. Roy +2 more
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Noisy homoclinic pulse dynamics [PDF]
, 2016 The effect of stochastic perturbations on nearly homoclinic pulse trains is considered for three model systems: a Duffing oscillator, the Lorenz-like Shimizu–Morioka model, and a co-dimension-three normal form.
Balmforth, Neil J., Eaves, Tom
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Existence of homoclinic orbit in generalized Liénard type system
Electronic Journal of Qualitative Theory of Differential Equations, 2021 The object of this paper is to study the existence and nonexistence of an important orbit in a generalized Liénard type system. This trajectory is doubly asymptotic to an equilibrium solution, i.e., an orbit which lies in the intersection of the stable ...
Tohid Kasbi +2 more
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On the localized wave patterns supported by convection-reaction-diffusion equation
, 2009 A set of traveling wave solution to convection-reaction-diffusion equation is studied by means of methods of local nonlinear analysis and numerical simulation.
Andronov +23 more
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Homoclinic solutions for a differential inclusion system involving the p(t)-Laplacian
Advances in Nonlinear Analysis, 2022 The aim of this article is to study nonlinear problem driven by the p(t)p\left(t)-Laplacian with nonsmooth potential. We establish the existence of homoclinic solutions by using variational principle for locally Lipschitz functions and the properties of ...
Cheng Jun, Chen Peng, Zhang Limin
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Global bifurcation of homoclinic solutions of Hamiltonian systems
Discrete & Continuous Dynamical Systems - A, 2003 We provide global bifurcation results for a class of nonlinear hamiltonian ...
Secchi, S, Stuart, CA
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Homoclinic Orbits around Spinning Black Holes I: Exact Solution for the Kerr Separatrix
, 2008 Under the dissipative effects of gravitational radiation, black hole binaries will transition from an inspiral to a plunge. The separatrix between bound and plunging orbits features prominently in the transition.
G. Perez-Giz +7 more
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Bubble dynamics in time-periodic straining flows [PDF]
, 1990 The dynamics and breakup of a bubble in an axisymmetric, time-periodic straining flow has been investigated via analysis of an approximate dynamic model and also by time-dependent numerical solutions of the full fluid mechanics problem.
Kang, I. S., Leal, L. G.
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Homoclinic Solutions for a Class of Second Order Nonautonomous Singular Hamiltonian Systems
Abstract and Applied Analysis, 2014 We are concerned with the existence of homoclinic solutions for the following second order nonautonomous singular Hamiltonian systems u¨+atWuu=0, (HS) where -∞
Ziheng Zhang +2 more
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