Results 101 to 110 of about 5,968 (173)

Numerical approximation of homoclinic chaos

, 1997
Beyn W-J, Kleinkauf JM. Numerical approximation of homoclinic chaos. In: Numerical Algorithms. Numerical Algorithms. Vol 14. BALTZER SCI PUBL BV; 1997: 25-53.Transversal homoclinic orbits of maps are known to generate a Canter set on which a power of ...
Beyn, Wolf-Jürgen, Kleinkauf, J. M.
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Homoclinic orbits for Schrödinger systems

Michigan Mathematical Journal, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Schechter, Martin, Zou, Wenming
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Homoclinic phenomena in conservative systems [PDF]

, 2013
The goal of this thesis is the study of homoclinic orbits in conservative systems (area-preserving maps and Hamiltonian systems). We consider homoclinic (bi-asymptotic) orbits either to saddle periodic orbits or to whiskered tori.
Gonchenko, Marina
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Homoclinic solutions for second-order non-autonomous Hamiltonian systems without global Ambrosetti-Rabinowitz conditions

Electronic Journal of Differential Equations, 2010
This article studies the existence of homoclinic solutions for the second-order non-autonomous Hamiltonian system $$ ddot q-L(t)q+W_{q}(t,q)=0, $$ where $Lin C(mathbb{R},mathbb{R}^{n^2})$ is a symmetric and positive definite matrix for all $tin ...
Rong Yuan, Ziheng Zhang
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Infinitely Many Homoclinic Orbits for Hamiltonian Systems with Group Symmetries

, 2013
[[abstract]]This paper deals via variational methods with the existence of infinitely many homoclinic orbits for a class of the first-order time-dependent Hamiltonian systems ż = JHz(t, z) without any periodicity assumption on H, providing that H(t, z ...
Lee, Cheng
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Opposition to Synchronization of Bistable State in Motif Configuration of Rössler Chaotic Oscillator Systems

Chaos Theory and Applications
This paper presents the study of the opposition to the synchronization of bistable chaotic oscillator systems in basic motif configurations. The following configurations were analyzed: Driver-response oscillator systems coupling, two driver oscillator ...
Dıdıer Lopez Mancılla, Guillermo Huerta-cuellar, Juan Hugo García López, Rider Jaimes-reategui   +3 more
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Bifurcation of homoclinics of Hamiltonian systems [PDF]

Proceedings of the American Mathematical Society, 2008
We obtain sufficient conditions for bifurcation of homoclinic trajectories of nonautonomous Hamiltonian vector fields parametrized by a circle, together with estimates for the number of bifurcation points in terms of the Maslov index of the asymptotic stable and unstable bundles of the linearization at the stationary branch.
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Bifurcation and Chaos Prediction in Nonlinear Gear Systems

Shock and Vibration, 2014
The homoclinic bifurcation and transition to chaos in gear systems are studied both analytically and numerically. Applying Melnikov analytical method, the threshold values for the occurrence of chaotic motion are obtained.
Anooshirvan Farshidianfar, Amin Saghafi
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Homoclinic-Doubling Cascades

, 1997
Cascades of period-doubling bifurcations have attracted much interest of researchers of dynamical systems in the past two decades as it is one of the routes to onset of chaos.
Hiroshi Kokubu, Vincent Naudot, Ale Jan Homburg   +2 more
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Homoclinic solutions of discrete nonlinear Schrodinger equations with partially sublinear nonlinearities

Electronic Journal of Differential Equations, 2019
We consider a class of discrete nonlinear Schrodinger (DNLS) equations in m dimensional lattices with partially sublinear nonlinearity f. Combining variational methods and a priori estimate, we give a general sufficient condition on f for type (A ...
Genghong Lin, Jianshe Yu, Zhan Zhou
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