On the Homoclinic Orbits of the Lü System-Reference-Cited by-同舟云学术

On the Homoclinic Orbits of the Lü System

Published:2017-05 Issue:05 Volume:27 Page:1750070
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Alvarez-Ramírez M.¹,García-Saldaña J. D.²

Affiliation:

1. Departamento de Matemáticas UAM–Iztapalapa, San Rafael Atlixco 186, Col. Vicentina, 09340 Iztapalapa, México City, México

2. Departamento de Matemática y Física Aplicadas, Facultad de Ingeniería, Universidad Católica de la Santísima Concepción, Casilla 297, Concepción, Chile

Abstract

In this paper, the existence of homoclinic orbits of the equilibrium point [Formula: see text] is demonstrated in the case of the Lü system for parameter values not reported by G. A. Leonov. In addition, some simulations are shown that agree with our theoretical analysis.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127417500705

Reference10 articles.

1. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

2. General existence conditions of homoclinic trajectories in dissipative systems. Lorenz, Shimizu–Morioka, Lu and Chen systems

3. Criteria for the existence of homoclinic orbits of systems Lu and Chen

4. On differences and similarities in the analysis of Lorenz, Chen, and Lu systems

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1. Unstable periodic orbits analysis in the generalized Lorenz-type system;Journal of Statistical Mechanics: Theory and Experiment;2020-07-21

2. Coexisting Attractors, Energy Analysis and Boundary of Lü System;International Journal of Bifurcation and Chaos;2020-03-15

3. Analysis of Periodic Orbits for the Chen and the Lü Systems via a Variational Approach;Journal of the Korean Physical Society;2019-08

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