Results 121 to 130 of about 7,276 (215)

Infinitely many homoclinic orbits for Hamiltonian systems with group symmetries

open access: yesElectronic Journal of Differential Equations, 1999
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 $$ dot{z}=JH_z(t,z) $$ without any periodicity assumption on $H$, providing that $H(t,z ...
Cheng Lee
doaj  

The Plykin and Solenoid attractor are homoclinic classes

open access: yesRevista Colombiana de Matemáticas
A homoclinic class is the closure of the transverse intersection points of the stable and unstable manifolds of a hyperbolic periodic orbit. In this paper, we prove, using the techniques presented in [1], that the Plykin and the Solenoid attractors are a homoclinic class.
Raibel Arias Cantillo   +1 more
openaire   +1 more source

Homoclinic solutions for a class of second order non-autonomous systems

open access: yesElectronic Journal of Differential Equations, 2009
This article concerns the existence of homoclinic solutions for the second order non-autonomous system $$ ddot q+A dot q-L(t)q+W_{q}(t,q)=0, $$ where $A$ is a skew-symmetric constant matrix, $L(t)$ is a symmetric positive definite matrix depending ...
Ziheng Zhang, Rong Yuan
doaj  

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