Results 191 to 200 of about 10,271 (227)

Hyperbolicity and the Creation of Homoclinic Orbits

The Annals of Mathematics, 1987
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Palis, J., Takens, F.
openaire   +3 more sources

ON CODING OF SERIES OF HOMOCLINIC LOOPS

International Journal of Bifurcation and Chaos, 1996
Three possible general types of origin and coding of series of complicated homoclinic saddle loops in dynamical systems with two degrees-of-freedom are pointed out. As an example of a physically important application, series of complicated vector solitons in birefringent (or bimodal) fiber governed by the system of two coupled nonlinear Schrödinger ...
Eleonsky, V. M., Korolev, V. G.
openaire   +1 more source

Homoclinic Orbits in the Complex Domain

International Journal of Bifurcation and Chaos, 1997
We consider the standard map, as a paradigm of area preserving map, when the variables are taken as complex. We study how to detect the complex homoclinic points, which cannot dissappear under a homoclinic tangency. This seems a promising tool to understand the stochastic zones of area preserving maps. The paper is mainly phenomenological and includes
Lazutkin, V. F., Simó, C.
openaire   +1 more source

Homoclinic connections and numerical integration

Numerical Algorithms, 1997
It is known that the numerical integration of ordinary differential equations \(y'= f(y)\), \(f:\mathbb{R}^n\to \mathbb{R}^n\), \(f(0)=0\), on long time intervals becomes unstable and carries on ``numerical chaos''. The author shows that Euler's finite difference scheme does not preserve homoclinic connections.
openaire   +2 more sources

Homoclinic orbits and an invariant chaotic set in a new 4D piecewise affine systems

, 2018
Qigui Yang, K. Lu
semanticscholar   +1 more source

The existence of homoclinic orbits in a 4D Lorenz-type hyperchaotic system

, 2017
Yuming Chen
semanticscholar   +1 more source

Bifurcations toN-homoclinic orbits andN-periodic orbits in vector fields

Journal of Dynamics and Differential Equations, 1993
Hiroshi Kokubu, Hiroe Oka, Kokubu Hiroshi   +2 more
exaly  

Homoclinic Orbits for a Class of Fractional Hamiltonian Systems via Variational Methods

Journal of Optimization Theory and Applications, 2016
N. Nyamoradi, Yong Zhou
semanticscholar   +1 more source

Homoclinic solutions for a class of second-order Hamiltonian systems

Journal of Mathematical Analysis and Applications, 2009
X H Tang
exaly  

Homoclinic Orbits for Asymptotically Linear Hamiltonian Systems

Journal of Functional Analysis, 2001
Zou Wenming, Andrzej Szulkin
exaly