Results 1 to 10 of about 800,376 (255)
Scarring by Homoclinic and Heteroclinic Orbits [PDF]
Physical Review Letters, 2006 In addition to the well known scarring effect of periodic orbits, we show here that homoclinic and heteroclinic orbits, which are cornerstones in the theory of classical chaos, also scar eigenfunctions of classically chaotic systems when associated closed circuits in phase space are properly quantized, thus introducing strong quantum correlations.
Wisniacki, D. A. +3 more
openaire +4 more sources
Homoclinic orbits to invariant tori near a homoclinic orbit to center-center-saddle equilibrium [PDF]
Physica D: Nonlinear Phenomena, 2005 We consider a perturbation of an integrable Hamiltonian vector field with three degrees of freedom with a center–center–saddle equilibrium having a homoclinic orbit or loop. With the help of a Poincaré map (chosen based on the unperturbed homoclinic loop), we study the homoclinic intersections between the stable and unstable manifolds associated to ...
O. Koltsova +3 more
semanticscholar +3 more sources
Homoclinic orbit and the violation of the chaos bound around a black hole with anisotropic matter fields [PDF]
Physical Review D, 2023 We study the homoclinic orbit and the violation of chaos bound, which are obtained by particle motions around a black hole that coexist with anisotropic matter fields.
S. Jeong +3 more
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Homoclinic orbits in Kerr-Newman black holes [PDF]
Physical Review D, 2023 We present the exact solutions of the homoclinic orbits for the timelike geodesics of the particle on the general nonequatorial orbits in the Kerr-Newman black holes. The homoclinic orbit is the separatrix between bound and plunging geodesics, a solution
Yi-Ting Li +3 more
semanticscholar +1 more source
Bifurcation of big periodic orbits through symmetric homoclinics, application to Duffing equation [PDF]
Journal of Mahani Mathematical Research, 2023 We consider a planar symmetric vector field that undergoes a homoclinic bifurcation. In order to study the existence of exterior periodic solutions of the vector field around broken symmetric homoclinic orbits, we investigate the existence of fixed ...
Liela Soleimani, Omid RabieiMotlagh
doaj +1 more source
Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity [PDF]
Communications in nonlinear science & numerical simulation, 2015 In this paper a Lorenz-like system, describing the process of rotating fluid convection, is considered. The present work demonstrates numerically that this system, also like the classical Lorenz system, possesses a homoclinic trajectory and a chaotic ...
G. Leonov, N. Kuznetsov, T. Mokaev
semanticscholar +2 more sources
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We obtain an existence theorem of nonzero solution for a class of bounded selfadjoint operator equations. The main result contains as a special case the existence result of a nontrivial homoclinic orbit of a class of Hamiltonian systems by Coti Zelati ...
Mingliang Song, Runzhen Li
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Modulational instability and homoclinic orbit solutions in vector nonlinear Schrödinger equation [PDF]
Communications in nonlinear science & numerical simulation, 2017 Modulational instability has been used to explain the formation of breather and rogue waves qualitatively. In this paper, we show modulational instability can be used to explain the structure of them in a quantitative way.
Liming Ling, Li-Chen Zhao
semanticscholar +1 more source
Global orbit of a complicated nonlinear system with the global dynamic frequency method
Journal of Low Frequency Noise, Vibration and Active Control, 2021 Global orbits connect the saddle points in an infinite period through the homoclinic and heteroclinic types of manifolds. Different from the periodic movement analysis, it requires special strategies to obtain expression of the orbit and detect the ...
Zhixia Wang +3 more
doaj +1 more source
Existence of homoclinic orbit in generalized Liénard type system
Electronic Journal of Qualitative Theory of Differential Equations, 2021 The object of this paper is to study the existence and nonexistence of an important orbit in a generalized Liénard type system. This trajectory is doubly asymptotic to an equilibrium solution, i.e., an orbit which lies in the intersection of the stable ...
Tohid Kasbi +2 more
doaj +1 more source