Results 81 to 90 of about 2,052 (114)

Chaos in a seasonally perturbed SIR model: avian influenza in a seabird colony as a paradigm. [PDF]

J Math Biol, 2013
O'Regan SM, Kelly TC, Korobeinikov A, O'Callaghan MJ, Pokrovskii AV, Rachinskii D.   +5 more
europepmc   +1 more source

Saddle-node bifurcation of viscous profiles.

Physica D, 2012
Achleitner F, Szmolyan P.
europepmc   +1 more source

Some of the next articles are maybe not open access.

Related searches:

The density of the transversal homoclinic points in the Henon-like strange attractors

Chaos, Solitons & Fractals, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cao, Yongluo, Kiriki, Shin
openaire   +1 more source

The transversal homoclinic point of a saddle-node implies horseshoe

Science in China Series A: Mathematics, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Transversal homoclinic points and hyperbolic sets for non-autonomous maps II

ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1988
The paper continues the study performed by the author in [ibid. 39, No. 4, 518--549 (1988; Zbl 0672.58034)] where the concept of hyperbolic sets and transversal homoclinic points to non-autonomous systems has been generalized. The main result of this work is to exhibit conditions which imply the existence of transverse homoclinic orbits for such ...
openaire   +2 more sources

Chaotic behaviour near non-transversal homoclinic points with quadratic tangency

Journal of Difference Equations and Applications, 2006
We consider a one-parameter family of discrete dynamical systems which has, for a critical value of the parameter, a homoclinic point with a quadratic tangency. We use Lin's method to prove the existence of shift dynamics near this homoclinic orbit.
openaire   +1 more source

Transversal Homoclinic Points of Diffeomorphisms and Hyperbolic Sets

2000
Up till now our only examples of hyperbolic sets have been hyperbolic fixed points and periodic orbits. In this chapter we give an example of a hyperbolic set which is infinite. Moreover, even though the set consists of only two distinct orbits, we shall show in Chapter 5 that in its neighbourhood the diffeomorphism has chaotic dynamics.
openaire   +1 more source

On the Structure of Orbits from a Neighborhood of a Transversal Homoclinic Orbit to a Nonhyperbolic Fixed Point

Regular and Chaotic Dynamics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gonchenko, Sergey V., Gordeeva, Ol'ga V.
openaire   +1 more source

Exponential Dichotomies, the Shadowing Lemma and Transversal Homoclinic Points

1988
Smale [12,13] studied diffeomorphisms with transversal homoclinic points and showed that the dynamics are chaotic in the neighbourhood of the orbit of such a point, in the sense that there is a compact invariant set on which the action of some iterate of the diffeomorphism is topologically conjugate to the action of the Bernoulli shift.
openaire   +1 more source

Symbolic Dynamics Near a Transversal Homoclinic Point of a Diffeomorphism

2000
In Chapter 3 we showed that the set consisting of a hyperbolic fixed point of a diffeomorphism and an associated transversal homoclinic orbit is hyperbolic. In this chapter we use symbolic dynamics to describe all the orbits in a neighbourhood of this set. In particular, we shall show that the dynamics in such a neighbourhood is chaotic.
openaire   +1 more source