Nonexistence theorem except the out-of-phase and in-phase solutions in the coupled van der Pol equation system

被引：0
|
作者：
B. T. Nohara
A. Arimoto
机构：
[1] Musashi Institute of Technology,
来源：
Ukrainian Mathematical Journal | 2009年 / 61卷
关键词：
Periodic Solution; Nonlinear Oscillation; Invariant Tori; Distinctive Solution; Nonexistence Theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a coupled van der Pol equation system. Our coupled system consists of two van der Pol equations that are connected with each other by linear terms. We assume that two distinctive solutions (out-of-phase and in-phase solutions) exist in the dynamical system of coupled equations and give answers to some problems.
引用
收藏
页码：1311 / 1337
页数：26
相关论文
共 27 条
  • [1] NONEXISTENCE THEOREM EXCEPT THE OUT-OF-PHASE AND IN-PHASE SOLUTIONS IN THE COUPLED VAN DER POL EQUATION SYSTEM
    Nohara, B. T.
    Arimoto, A.
    UKRAINIAN MATHEMATICAL JOURNAL, 2009, 61 (08) : 1311 - 1337
  • [2] Stability of In-Phase and Out-of-Phase Synchronization Modes in Van der Pol-Duffing Oscillators Coupled by Fractional Order Derivative
    Singh, Aman K.
    Yadava, R. D. S.
    2017 INTERNATIONAL CONFERENCE ON INNOVATIONS IN INFORMATION, EMBEDDED AND COMMUNICATION SYSTEMS (ICIIECS), 2017,
  • [3] Conversion of out-of-phase to in-phase order in coupled laser arrays with second harmonics
    Chene Tradonsky
    Micha Nixon
    Eitan Ronen
    Vishwa Pal
    Ronen Chriki
    Asher A.Friesem
    Nir Davidson
    Photonics Research, 2015, 3 (03) : 77 - 81
  • [4] A crack opening stress equation for in-phase and out-of-phase thermomechanical fatigue loading
    Fischer, Carl
    Schweizer, Christoph
    Seifert, Thomas
    INTERNATIONAL JOURNAL OF FATIGUE, 2016, 88 : 178 - 184
  • [5] Conversion of out-of-phase to in-phase order in coupled laser arrays with second harmonics
    Tradonsky, Chene
    Nixon, Micha
    Ronen, Eitan
    Pal, Vishwa
    Chriki, Ronen
    Friesem, Asher A.
    Davidson, Nir
    PHOTONICS RESEARCH, 2015, 3 (03) : 77 - 81
  • [6] Coupled-line rat-race couplers with smooth in-phase and out-of-phase performances
    Wei, Yiwen
    Wu, Yongle
    Wang, Weimin
    Yang, Yuhao
    Zhang, Yifan
    Liu, Yuanan
    INTERNATIONAL JOURNAL OF RF AND MICROWAVE COMPUTER-AIDED ENGINEERING, 2022, 32 (12)
  • [7] Charge Transport in Strongly Coupled Molecular Junctions: "In-Phase" and "Out-of-Phase" Contribution to Electron Tunneling
    Pal, Partha Pratim
    Pati, Ranjit
    JOURNAL OF PHYSICAL CHEMISTRY C, 2011, 115 (35): : 17564 - 17573
  • [8] Compact power divider for wideband in-phase and out-of-phase performances using parallel coupled lines
    Ahmed, U.
    Abbosh, A.
    ELECTRONICS LETTERS, 2017, 53 (19) : 1312 - 1314
  • [9] EXPERIMENTAL AND THEORETICAL-STUDIES OF A COUPLED CHEMICAL OSCILLATOR - PHASE DEATH, MULTISTABILITY, AND IN-PHASE AND OUT-OF-PHASE ENTRAINMENT
    CROWLEY, MF
    EPSTEIN, IR
    JOURNAL OF PHYSICAL CHEMISTRY, 1989, 93 (06): : 2496 - 2502
  • [10] Phase Clustering in a Hierarchical Ensemble of Coupled Van Der Pol Oscillators
    Temnaya, O. S.
    Tsironis, G. P.
    TECHNICAL PHYSICS LETTERS, 2021, 47 (06) : 474 - 477
123