Effect of colored noise on heteroclinic orbits

A Survey On Homoclinic And Heteroclinic Orbits

The study of homoclinic and heteroclinic orbits has a long history. This paper surveys some of the recent advances in this topic. We present some of the main results obtained in recent years, and in addition we indicate some possible research directions and some problems for further studies.

Heteroclinic orbits of semilinear parabolic equations

Heteroclinic Orbits for Retarded Functional Differential Equations*

Suppose r is a heteroclinic orbit of a Ck functional differential equation i(t) =f(x,) with a-limit set a(T) and o-limit set w(T) being either hyperbolic equilibrium points or periodic orbits. Necessary and sufficient conditions are given for the existence of an 7 close to f in Ck with the property that i(t) = 3(x,) has a heteroclinic orbit p close to f. The orbits p are obtained from the zeros...

effect of oral presentation on development of l2 learners grammar

this experimental study has been conducted to test the effect of oral presentation on the development of l2 learners grammar. but this oral presentation is not merely a deductive instruction of grammatical points, in this presentation two hypotheses of krashen (input and low filter hypotheses), stevicks viewpoints on grammar explanation and correction and widdowsons opinion on limited use of l1...

On homoclinic and heteroclinic orbits of Chen's System

The classical Lorenz system is a three-dimensional autonomous dynamical system with only two quadratic terms but displays very complex dynamical behaviors (see [Guckenheimer & Holmes, 1983; Lorenz, 1963]). With a similar structure, the recently discovered Chen’s system is of particular interest because of its complex topological structure and its duality to the Lorenz system (see [Chen & Ueta, ...