Existence criterion of homoclinic trajectories in the Glukhovsky-Dolzhansky system

被引：28

作者：

Leonov, G. A. ^{[1
]}

机构：

[1] St Petersburg State Univ, St Petersburg 198504, Russia

来源：

PHYSICS LETTERS A | 2015年 / 379卷 / 06期

基金：

俄罗斯科学基金会;

关键词：

Homoclinic trajectories; Tricomi problem; Fishing principle; Glukhovsky-Dolzhansky system; Phase space; Parameters space; SHIMIZU-MORIOKA; DIMENSION; ATTRACTORS; LORENZ;

D O I：

10.1016/j.physleta.2014.12.005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Existence criterion of homoclinic trajectories in the Glukhovsky-Dolzhansky system, describing three-mode model of rotating fluid convection, is obtained. New applications of the Fishing principle are developed. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：524 / 528

页数：5

共 20 条

[1]

[Anonymous], VARIATIONAL PRINCIPL

[2]

Boichenko V.A., 2005, Dimension Theory for Ordinary Differential Equations

[3]

Boichenko VA, 1999, AM MATH SOC TRANSL 2, V193, P1

[4]

Courant R., 1950, Dirichlets Principle, Conformal Mapping, and Minimal Surfaces

[5]

Glukhovsky A. B., 1980, IZV AKAD NAUK SSSR S, V16, P311

[6] Fishing principle for homoclinic and heteroclinic trajectories [J].

Leonov, G. A. .

NONLINEAR DYNAMICS, 2014, 78 (04) :2751-2758

[7] Rossler systems: Estimates for the dimension of attractors and homoclinic orbits [J].

Leonov, G. A. .

DOKLADY MATHEMATICS, 2014, 89 (03) :369-371

[8] Criteria for the existence of homoclinic orbits of systems Lu and Chen [J].

Leonov, G. A. .

DOKLADY MATHEMATICS, 2013, 87 (02) :220-223

[9] SHILNIKOV CHAOS IN LORENZ-LIKE SYSTEMS [J].

Leonov, G. A. .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2013, 23 (03)

[10] The tricomi problem for the Shimizu-Morioka dynamical system [J].

Leonov, G. A. .

DOKLADY MATHEMATICS, 2012, 86 (03) :850-853

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