On the stability of periodic orbits in lattice dynamical systems

被引：0

作者：

Fernandez, Bastien ^{[1
]}

Morante, Antonio ^{[2
]}

机构：

[1] Centre de Physique Théorique, CNRS Luminy Case 907, 13288 Marseille Cedex 09, France

[2] Inst. Invest. en Comunicacion Optica, UASLP, Av. Karakorum #1470, San Luis Potosí, Mexico

来源：

Dynamical Systems | 2001年 / 16卷 / 03期

关键词：

Hilbert space - Lattice dynamical systems - Periodic orbits;

D O I：

10.1080/14689360109696235

中图分类号：

学科分类号：

摘要：

引用

页码：247 / 252

共 50 条

[31] Tracing of pseudotrajectories of dynamical systems and stability of prolongations of orbits
M. B. Vereikina
A. N. Sharkovskii
Ukrainian Mathematical Journal, 1997, 49 (8) : 1140 - 1149
[32] A Dirichlet criterion for the stability of periodic and relative periodic orbits in Hamiltonian systems
Ortega, JP
Ratiu, TS
JOURNAL OF GEOMETRY AND PHYSICS, 1999, 32 (02) : 131 - 159
[33] Global stability of periodic orbits in relay feedback systems
Varigonda, S
Georgiou, TT
PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 3843 - 3847
[34] ON THE CONTROL OF STABILITY OF PERIODIC ORBITS OF COMPLETELY INTEGRABLE SYSTEMS
Tudoran, Razvan M.
JOURNAL OF GEOMETRIC MECHANICS, 2015, 7 (01): : 109 - 124
[35] ON THE PROBLEM OF STABILITY IN LATTICE DYNAMICAL-SYSTEMS
BUNIMOVICH, LA
CARLEN, EA
JOURNAL OF DIFFERENTIAL EQUATIONS, 1995, 123 (01) : 213 - 229
[36] Nonintegrability of Nearly Integrable Dynamical Systems Near Resonant Periodic Orbits
Yagasaki, Kazuyuki
JOURNAL OF NONLINEAR SCIENCE, 2022, 32 (04)
[37] Optimized shooting method for finding periodic orbits of nonlinear dynamical systems
W. Dednam
A. E. Botha
Engineering with Computers, 2015, 31 : 749 - 762
[38] New Criterions on Nonexistence of Periodic Orbits of Planar Dynamical Systems and Their Applications
Chen, Hebai
Yang, Hao
Zhang, Rui
Zhang, Xiang
JOURNAL OF NONLINEAR SCIENCE, 2024, 34 (05)
[39] Theory and applications of the systematic detection of unstable periodic orbits in dynamical systems
Pingel, D
Schmelcher, P
Diakonos, FK
Biham, O
PHYSICAL REVIEW E, 2000, 62 (02): : 2119 - 2134
[40] Optimized shooting method for finding periodic orbits of nonlinear dynamical systems
Dednam, W.
Botha, A. E.
ENGINEERING WITH COMPUTERS, 2015, 31 (04) : 749 - 762

← 1 2 3 4 5 →