Homoclinic points - Open Access .click

Results 101 to 110 of about 10,336 (188)

Tangential homoclinic points for Lozi maps

For the family of Lozi maps, we study homoclinic points for the saddle fixed point $X$ in the first quadrant. Specifically, in the parameter space, we examine the boundary of the region in which homoclinic points for $X$ exist. For all parameters on that boundary, all intersections of the stable and unstable manifold of $X$, apart from $X$, are ...
openaire +2 more sources

Existence of transversal homoclinic points in a degenerative case

Rocky Mountain Journal of Mathematics, 1990
This interesting paper deals with the periodic differential equation $(1)\quad \dot x=g(x)+\mu h(t,x,\mu),$ where $x\in {\mathbb{R}}^ k$, $\mu\in {\mathbb{R}}$, h(t,x,$\mu$) is T-periodic in its first variable, and the unperturbed system (2) $\dot x=g(x)$ has a saddle point $x_ 0$.
openaire +3 more sources

Homoclinic Points For Area-Preserving Surface Diffeomorphisms

, 2006
We show a $C^r$ connecting lemma for area-preserving surface diffeomorphisms and for periodic Hamiltonian on surfaces. We prove that for a generic $C^r$, $r=1, 2, ...$, $\infty$, area-preserving diffeomorphism on a compact orientable surface, homotopic to identity, every hyperbolic periodic point has a transversal homoclinic point.
openaire +2 more sources

Modeling, dynamical analysis and numerical simulation of a new 3D cubic Lorenz-like system. [PDF]