Results 71 to 80 of about 646 (172)

Periodic or homoclinic orbit bifurcated from a heteroclinic loop for high-dimensional systems

Open Mathematics
Consider an autonomous ordinary differential equation in Rn{{\mathbb{R}}}^{n}, which has a heteroclinic loop. Assume that the heteroclinic loop consists of two degenerate heteroclinic orbits γ1{\gamma }_{1}, γ2{\gamma }_{2} and two saddle points with ...
Long Bin, Yang Yiying
doaj   +1 more source

Bifurcation and stability analysis of exact solution of couple stress fluid creeping flow in a Darcy porous slit

Alexandria Engineering Journal
In this paper, the investigation examines the problem of creeping flow of a non-Newtonian couple-stress fluid through a linear porous-walled slit within a Darcy porous material. A method uses similar shapes made by changing coordinates and making complex
Mohamed R. Eid, Essam M. Elsaid, Awatif J. Alqarni, Azza M. Algatheem, Hany A. Hosham   +4 more
doaj   +1 more source

Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points

, 2011
Submitted to Mathematics and Computers in ...
Kryzhevich, Sergey, Pilyugin, Sergei
openaire   +2 more sources

On the generic existence of homoclinic points [PDF]

Ergodic Theory and Dynamical Systems, 1987
AbstractThis work is concerned with the generic existence of homoclinic points for area preserving diffeomorphisms of compact orientable surfaces. We give a shorter proof of Pixton's theorem that shows that, Cr-generically, an area preserving diffeomorphism of the two sphere has the property that every hyperbolic periodic point has transverse ...
openaire   +2 more sources

Bifurcation Analysis of the Dynamics in COVID-19 Transmission through Living and Nonliving Media

Journal of Applied Mathematics
Transmission of COVID-19 occurs either through living media, such as interaction with a sufferer, or nonliving objects contaminated with the virus. Recovering sufferers and disinfectant spraying prevent interaction between people and virus become the ...
Ario Wiraya, Laila Fitriana, null Triyanto, Yudi Ari Adi, Yuvita Andriani Kusumadewi, Sarah Khoirunnisa   +5 more
doaj   +1 more source

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

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]

Sci Rep, 2023
Wang H, Ke G, Pan J, Su Q.
europepmc   +1 more source