Results 21 to 30 of about 10,271 (227)
New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation
Abstract and Applied Analysis, 2014 A new method, homoclinic breather limit method (HBLM), for seeking rogue wave solution of nonlinear evolution equation is proposed. A new family of homoclinic breather wave solution, and rational homoclinic solution (homoclinic rogue wave) for DSI and ...
Changfu Liu +3 more
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Homoclinic Bifurcations in Planar Piecewise-Linear Systems
Discrete Dynamics in Nature and Society, 2013 The problem of homoclinic bifurcations in planar continuous piecewise-linear systems with two zones is studied. This is accomplished by investigating the existence of homoclinic orbits in the systems.
Bin Xu, Fenghong Yang, Yun Tang, Mu Lin
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Multiple chaos arising from single-parametric perturbation of a degenerate homoclinic orbit
, 2020 In this paper, we investigate multiple existence of homoclinic solutions for a periodically perturbed N-dimensional autonomous differential equation with a degenerate homoclinic solution of degeneracy degree d.
C. Zhu, Weinian Zhang
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Continuation of homoclinic orbits in the suspension bridge equation: A computer-assisted proof [PDF]
, 2017 In this paper, we prove existence of symmetric homoclinic orbits for the suspension bridge equation u ⁗ + β u ″ + e u − 1 = 0 for all parameter values β ∈ [ 0.5 , 1.9 ] . For each β, a parameterization of the stable manifold is computed and the symmetric
J. B. Berg +3 more
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Computers and Mathematics with Applications, 2018 We consider a (2+1)-dimensional generalized breaking soliton (gBS) equation, which describes the interaction of the Riemann wave propagated along the y -axis with a long wave propagated along the x -axis. By using Bell’s polynomials, we derive a bilinear
Xue-Wei Yan +4 more
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Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion [PDF]
, 2015 In this paper, we discuss self-excited and hidden attractors for systems of differential equations. We considered the example of a Lorenz-like system derived from the well-known Glukhovsky-Dolghansky and Rabinovich systems, to demonstrate the analysis of
G. Leonov +4 more
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Saddle Invariant Objects and Their Global Manifolds in a Neighborhood of a Homoclinic Flip Bifurcation of Case B [PDF]
SIAM Journal on Applied Dynamical Systems, 2017 When a real saddle equilibrium in a three-dimensional vector field undergoes a homoclinic bifurcation, the associated two-dimensional invariant manifold of the equilibrium closes on itself in an orientable or nonorientable way, provided the corresponding
A. Giraldo, B. Krauskopf, H. Osinga
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HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD
The Journal of Applied Analysis and Computation, 2019 Homoclinic solutions arise in various discrete models with variational structure, from discrete nonlinear Schrödinger equations to discrete Hamiltonian systems.
L. Erbe, Baoguo Jia, Qinqin Zhang
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Bifurcations of a Homoclinic Orbit to Saddle-Center in Reversible Systems
Abstract and Applied Analysis, 2012 The bifurcations near a primary homoclinic orbit to a saddle-center are investigated in a 4-dimensional reversible system. By establishing a new kind of local moving frame along the primary homoclinic orbit and using the Melnikov functions, the existence
Zhiqin Qiao, Yancong Xu
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Frontiers in Physics, 2022 A class of generalized homoclinic solutions of the nonlinear Schrödinger (NLS) equation in 1+1 dimensions is studied. These are homoclinic breathers that are shown to be derivable from the ratio of Riemann theta functions for the genus-2 solutions of ...
Alfred R. Osborne
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