Results 31 to 40 of about 10,336 (188)

Homoclinic orbits and Lie rotated vector fields

International Journal of Mathematics and Mathematical Sciences, 2000
Based on the definition of Lie rotated vector fields in the plane, this paper gives the property of homoclinic orbit as parameter is changed and the singular points are fixed on Lie rotated vector fields.
Jie Wang, Chen Chen
doaj   +1 more source

Computational complexity, torsion-freeness of homoclinic Floer homology, and homoclinic Morse inequalities

, 2017
Floer theory was originally devised to estimate the number of 1-periodic orbits of Hamiltonian systems. In earlier works, we constructed Floer homology for homoclinic orbits on two dimensional manifolds using combinatorial techniques.
Hohloch, Sonja
core   +1 more source

Mixing-like properties for some generic and robust dynamics [PDF]

, 2014
We show that the set of Bernoulli measures of an isolated topologically mixing homoclinic class of a generic diffeomorphism is a dense subset of the set of invariant measures supported on the class.
Arbieto, Alexander, Catalan, Thiago, Santiago, Bruno   +2 more
core   +1 more source

Chaotic Dynamics of a Mixed Rayleigh–Liénard Oscillator Driven by Parametric Periodic Damping and External Excitations

Complexity, 2021
In this paper, chaotic dynamics of a mixed Rayleigh–Liénard oscillator driven by parametric periodic damping and external excitations is investigated analytically and numerically.
Yélomè Judicaël Fernando Kpomahou, Laurent Amoussou Hinvi, Joseph Adébiyi Adéchinan, Clément Hodévèwan Miwadinou   +3 more
doaj   +1 more source

Hysteresis effects and diagnostics of the shock formation in low angular momentum axisymmetric accretion in the Kerr metric

, 2009
The secular evolution of the purely general relativistic low angular momentum accretion flow around a spinning black hole is shown to exhibit hysteresis effects.
Abraham, Abramowicz, Abramowicz, Abramowicz, Abramowicz, Abramowicz, Afshordi, Anderson, Armitage, Artemova, B. Czerny, Balbus, Barai, Beloborodov, Beskin, Bhattacharjee, Bhattacharjee, Bisikalo, Bondi, Boyer, Bray, Bussemaker, Caditz, Campbell, Chakrabarti, Chakrabarti, Chakrabarti, Chattopadhyay, Chaudhury, Chen, Chicone, Czerny, Das, Das, Das, Das, Das, Das, Das, Frank, Fukue, Fukue, Fukue, Fukue, Fukumura, Goswami, Hawley, Ho, Igumenshchev, Igumenshchev, Illarionov, Illarionov, Janiuk, Jordan, Kafatos, Kaplan, Karkowski, Karkowski, Kato, Kato, Konigl, Landau, Liang, Liang, Lu, Lu, Lu, Lu, MacFadyen, Manmoto, Matsumoto, Moscibrodzka, Muchotrzeb, Muchotrzeb, Muchotrzeb-Czerny, Mukhopadhyay, Nagakura, Nagakura, Nakayama, Nakayama, Narayan, Novikov, Okuda, Okuda, Paczyński, Paczyński, Pariev, Parker, Peitz, Pringle, Proga, Ray, Ray, Ray, Ray, Ray, Ray, Ryu, Sakurai, Shakura, Sponholz, Spruit, Takahashi, Tapas K. Das, Tóth, Wiita, Yang   +106 more
core   +1 more source

Hyperbolic periodic points for chain hyperbolic homoclinic classes

, 2015
In this paper we establish a closing property and a hyperbolic closing property for thin trapped chain hyperbolic homoclinic classes with one dimensional center in partial hyperbolicity setting.
Sun, Wenxiang, Yang, Yun
core   +1 more source

Homoclinic points of algebraic $\mathbb {Z}^d$-actions [PDF]

Journal of the American Mathematical Society, 1999
According to the authors' terminology an algebraic \(\mathbb Z^d\)-action is an action of \(\mathbb Z^d\) by continuous automorphisms on a compact abelian group. The purpose of the paper under review is to study the homoclinic points of algebraic \(\mathbb Z^d\)-actions. Let \(\alpha\) be an algebraic \(\mathbb Z^d\)-action on the compact abelian group
Lind, Douglas, Schmidt, Klaus
openaire   +1 more source

Uniqueness of SRB measures for transitive diffeomorphisms on surfaces

, 2010
We give a description of ergodic components of SRB measures in terms of ergodic homoclinic classes associated to hyperbolic periodic points. For transitive surface diffeomorphisms, we prove that there exists at most one SRB measure.Comment: 18 pages, 4 ...
Hertz, F. Rodriguez, Hertz, M. A. Rodriguez, Tahzibi, A., Ures, R.   +3 more
core   +1 more source

Birth of homoclinic intersections: a model for the central dynamics of partially hyperbolic systems [PDF]

, 2010
We prove a conjecture of J. Palis: any diffeomorphism of a compact manifold can be C1-approximated by a Morse-Smale diffeomorphism or by a diffeomorphism having a transverse homoclinic intersection.
Crovisier, Sylvain
core   +2 more sources

Homoclinic points of mappings of the interval [PDF]

Proceedings of the American Mathematical Society, 1978
Let f be a continuous map of a closed interval I into itself. A point x ∈ I x \in I is called a homoclinic point of f if there is a peridoic point p of f such that x ≠ p , x x \ne p,x is in the unstable manifold of p, and p is in the orbit of x under
openaire   +2 more sources