Results 111 to 120 of about 10,534 (236)

Homoclinic orbits at infinity for second-order Hamiltonian systems with fixed energy

Electronic Journal of Differential Equations, 2015
We obtain the existence of homoclinic orbits at infinity for a class of second-order Hamiltonian systems with fixed energy. We use the limit for a sequence of approximate solutions which are obtained by variational methods.
Dong-Lun Wu, Shiqing Zhang
doaj  

Infinitely many homoclinic orbits for Hamiltonian systems with group symmetries

Electronic 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  

Analytical study of the Lorenz system: Existence of infinitely many periodic orbits and their topological characterization. [PDF]

Proc Natl Acad Sci U S A, 2023
Pinsky T.
europepmc   +1 more source

The Homoclinic Orbits in the Liénard Plane

Journal of Mathematical Analysis and Applications, 1995
In reply to a question, posed by Roberto Conti, concerning the stability properties of the origin to a pseudolinear system in \(\mathbb{R}^ 2\), the situation is clarified for the well-known Liénard system. The notion of the maximal elliptic sector is shown to play an important role with respect to a zero solution to be a positive global (weak ...
openaire   +2 more sources

Multitudinous potential homoclinic and heteroclinic orbits seized

Electronic Research Archive
Revisiting a newly reported modified Chen system by both the definitions of $ \alpha $-limit and $ \omega $-limit set, Lyapunov function and Hamiltonian function, this paper seized a multitude of pairs of potential heteroclinic orbits to (1) $ E_{0 ...
Haijun Wang, Jun Pan, Guiyao Ke
doaj   +1 more source

Periodic and homoclinic orbits in a toy climate model [PDF]

Nonlinear Processes in Geophysics, 1994
A two dimensional system of autonomous nonlinear ordinary differential equations models glacier growth and temperature changes on an idealized planet.
M. Toner, A. D. Kirwan, Jr.
doaj  

Existence of fast homoclinic orbits for a class of second-order non-autonomous problems [PDF]

, 2014
Qiongfen Zhang, Qiming Zhang, Xianhua Tang   +2 more
openalex   +1 more source

Existence of nontrivial weak homoclinic orbits for second-order impulsive differential equations [PDF]

, 2012
Hui Fang, Hongbo Duan
openalex   +1 more source

Shil’nikov chaos control using homoclinic orbits and the Newhouse region [PDF]

, 2006
Sadataka Furui, Shohei Niiya
openalex   +1 more source

Big homoclinic orbit bifurcation underlying post-inhibitory rebound spike and a novel threshold curve of a neuron

, 2021
Xianjun Wang, Huaguang Gu, Bo Lu
openalex   +1 more source