Unbounded trajectories of dynamical systems

被引：1
|
作者：
Gascon, FG
Pelayo, A
Peralta-Salas, D [1 ]
机构：
[1] Univ Complutense, Fac Ciencias Fis, Dept Fis Teor 2, E-28040 Madrid, Spain
[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
来源：
APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 03期
关键词：
divergence-free vector fields; unbounded orbits; topological techniques; foliations;
D O I：
10.1016/S0893-9659(04)90060-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that when a divergence-free vector field without zeros X is defined on a two-dimensional, noncompact manifold, which is not a cylinder, then X must possess an unbounded orbit. (C) 2004 Elsevier Ltd. All rights reserved.
引用
下载
收藏
页码：253 / 259
页数：7
相关论文
共 50 条
  • [21] Automatic controls for nonlinear dynamical systems with Lipschitzian trajectories
    Ahangar, R
    Salehi, E
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 268 (02) : 400 - 405
  • [22] Trajectories of intervals in one-dimensional dynamical systems
    Fedorenko, V. V.
    Romanenko, E. Yu.
    Sharkovsky, A. N.
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2007, 13 (8-9) : 821 - 828
  • [23] Box dimension of trajectories of some discrete dynamical systems
    Elezovic, Neven
    Zupanovic, Vesna
    Zubrinic, Darko
    CHAOS SOLITONS & FRACTALS, 2007, 34 (02) : 244 - 252
  • [24] STRUCTURE OF OPTIMAL TRAJECTORIES OF DYNAMICAL SYSTEMS WITH A LYAPUNOV FUNCTION
    Zaslavski A.J.
    Applied Set-Valued Analysis and Optimization, 2022, 4 (01): : 27 - 39
  • [25] On the condition of rigidity in the Joukowski sense for trajectories of dynamical systems
    O. V. Druzhinina
    A. A. Shestakov
    Doklady Physics, 2003, 48 : 674 - 678
  • [26] Recovering trajectories of chaotic piecewise linear dynamical systems
    AzizAlaoui, MA
    Fedorenko, AD
    Lozi, R
    Sharkovsky, AN
    CONTROL OF OSCILLATIONS AND CHAOS - 1997 1ST INTERNATIONAL CONFERENCE, PROCEEDINGS, VOLS 1-3, 1997, : 230 - 233
  • [27] On the condition of rigidity in the Joukowski sense for trajectories of dynamical systems
    Druzhinina, OV
    Shestakov, AA
    DOKLADY PHYSICS, 2003, 48 (12) : 674 - 678
  • [28] ROBUSTNESS OF TRAJECTORIES OF DYNAMICAL-SYSTEMS TO HYSTERESIS PERTURBATIONS
    DIAMOND, F
    KLOEDEN, P
    KOZYAKIN, VS
    KRASNOSELSKII, MA
    POKROVSKII, AV
    DOKLADY AKADEMII NAUK, 1995, 343 (01) : 25 - 27
  • [29] OPTIMAL TRAJECTORIES OF DYNAMICAL-SYSTEMS WITH SPECIAL CONSTRAINTS
    LYSENKO, AI
    JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL, 1993, 31 (04) : 15 - 20
  • [30] Taming Delays in Dynamical Systems Unbounded Verification of Delay Differential Equations
    Feng, Shenghua
    Chen, Mingshuai
    Zhan, Naijun
    Franzle, Martin
    Xue, Bai
    COMPUTER AIDED VERIFICATION, CAV 2019, PT I, 2019, 11561 : 650 - 669
12345