Unstable periodic orbits and discretization cycles

被引：8

作者：

Binder, PM ^{[1
]}

Okamoto, NH ^{[1
]}

机构：

[1] Univ Hawaii, Dept Phys & Astron, Hilo, HI 96720 USA

来源：

PHYSICAL REVIEW E | 2003年 / 68卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.68.046206

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Limit cycles that arise from discretizing the variable(s) of a nonlinear map are generally found to shadow individual unstable periodic orbits (UPOs) of the corresponding continuous map. In a few cases the discretization cycles can only be explained with other mechanisms, such as the near-occurrence of an UPO, or crossover between two or more UPOs.

引用

页数：3

共 50 条

[1] ISOLATED UNSTABLE PERIODIC ORBITS
CHURCHIL.RC
PECELLI, G
ROD, DL
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (01): : A134 - A134
[2] ISOLATED UNSTABLE PERIODIC ORBITS
CHURCHILL, RC
PECELLI, G
ROD, DL
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1975, 17 (02) : 329 - 348
[3] POINCARE CLASSIFICATION OF UNSTABLE PERIODIC ORBITS
VIEIRAMARTINS, R
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1978, 286 (21): : 1023 - 1025
[4] Unstable periodic orbits in the Lorenz attractor
Boghosian, Bruce M.
Brown, Aaron
Laett, Jonas
Tang, Hui
Fazendeiro, Luis M.
Coveney, Peter V.
[J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2011, 369 (1944): : 2345 - 2353
[5] Unstable periodic orbits in weak turbulence
Fazendeiro, L.
Boghosian, B. M.
Coveney, P. V.
Laett, J.
[J]. JOURNAL OF COMPUTATIONAL SCIENCE, 2010, 1 (01) : 13 - 23
[6] TARGETING UNSTABLE PERIODIC-ORBITS
CHIZHEVSKY, VN
GLORIEUX, P
[J]. PHYSICAL REVIEW E, 1995, 51 (04) : R2701 - R2704
[7] Dynamical tracking of unstable periodic orbits
Pisarchik, AN
[J]. PHYSICS LETTERS A, 1998, 242 (03) : 152 - 162
[8] UNSTABLE PERIODIC-ORBITS AND PREDICTION
PAWELZIK, K
SCHUSTER, HG
[J]. PHYSICAL REVIEW A, 1991, 43 (04): : 1808 - 1812
[9] Recurrence plots and unstable periodic orbits
Bradley, E
Mantilla, R
[J]. CHAOS, 2002, 12 (03) : 596 - 600
[10] Detecting unstable periodic orbits and unstable quasiperiodic orbits in vibro-impact systems
Zhang, Yongxiang
Luo, Guanwei
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2017, 96 : 12 - 21

← 1 2 3 4 5 →