Results 91 to 100 of about 5,968 (173)

Homoclinic points and Floer homology [PDF]

Journal of Symplectic Geometry, 2013
55 pages, 17 figures; In accordance with the journal's copyright, I am making a preprint version of my published paper available on the ...
openaire   +5 more sources

Transverse Bifurcations Occurring on Simple Robust Homoclinic Cycles

Mathematics
This paper studies codimension-one transverse bifurcations of several classes of simple robust homoclinic cycles in group-symmetric systems on R5.
Yanqi Zhang, Cuiping Li, Kunlun Huang, Xiao Wen   +3 more
doaj   +1 more source

Nonperiodic Damped Vibration Systems with Asymptotically Quadratic Terms at Infinity: Infinitely Many Homoclinic Orbits

Abstract and Applied Analysis, 2013
We study a class of nonperiodic damped vibration systems with asymptotically quadratic terms at infinity. We obtain infinitely many nontrivial homoclinic orbits by a variant fountain theorem developed recently by Zou.
Guanwei Chen
doaj   +1 more source

Bifurcation diagrams for singularly perturbed system: the multi-dimensional case.

Electronic Journal of Qualitative Theory of Differential Equations, 2013
We consider a singularly perturbed system where the fast dynamics of the unperturbed problem exhibits a trajectory homoclinic to a critical point. We assume that the slow time system admits a unique critical point, which undergoes a bifurcation as a ...
Matteo Franca
doaj   +1 more source

Heterodimensional cycles near homoclinic bifurcations [PDF]

, 2016
In this thesis we study bifurcations of a pair of homoclinic loops to a saddle-focus equilibrium (with a one-dimensional unstable manifold) in flows with dimension four or higher.
Li, Dongchen
core   +1 more source

Melnikov analysis of chaos in a simple SIR model with periodically or stochastically modulated nonlinear incidence rate

Journal of Biological Dynamics, 2020
In this paper, Melnikov analysis of chaos in a simple SIR model with periodically or stochastically modulated nonlinear incidence rate and the effect of periodic and bounded noise on the chaotic motion of SIR model possessing homoclinic orbits are ...
Yanxiang Shi
doaj   +1 more source

Kuramoto Phase Model with Inertia: Bifurcations Leading to the Loss of Synchrony and to the Emergence of Chaos

Моделирование и анализ информационных систем, 2015
We consider a finite-dimensional model of phase oscillators with inertia in the case of star configuration of coupling. The system of equations is reduced to a nonlinearly coupled system of pendulum equations.
V. N. Belykh, M. I. Bolotov, G. V. Osipov   +2 more
doaj   +1 more source

Homoclinic orbits for a class of symmetric Hamiltonian systems

Electronic Journal of Differential Equations, 1994
of Hamiltonian systems that are symmetric with respect to independent variable (time). For the scalar case we prove existence and uniqueness of a positive homoclinic solution. For the system case we prove existence of symmetric homoclinic orbits.
Philip Korman, Alan C. Lazer
doaj  

Essentially asymptotically stable homoclinic networks

, 2009
Melbourne [An example of a nonasymptotically stable attractor, Nonlinearity 4(3) (1991), pp. 835-844] discusses an example of a robust heteroclinic network that is not asymptotically stable but which has the strong attracting property called essential ...
Homburg, A.J., Driesse, R.
core   +1 more source

On the so called rogue waves in nonlinear Schrodinger equations

Electronic Journal of Differential Equations, 2016
The mechanism of a rogue water wave is still unknown. One popular conjecture is that the Peregrine wave solution of the nonlinear Schrodinger equation (NLS) provides a mechanism. A Peregrine wave solution can be obtained by taking the infinite spatial
Y. Charles Li
doaj