Cleaning the Periodicity in Discrete- and Continuous-Time Nonlinear Dynamical Systems

被引：1
|
作者：
Rech, Paulo C. [1 ]
机构：
[1] Univ Estado Santa Catarina, Dept Fis, BR-89219710 Joinville, Brazil
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2014年 / 24卷 / 07期
关键词：
Periodicity suppression; parameter-space; external periodic forcing; STRANGE NONCHAOTIC ATTRACTORS; FORCED SYSTEMS; LORENZ SYSTEM; SYNCHRONIZATION;
D O I：
10.1142/S0218127414300201
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate periodicity suppression in two-dimensional parameter-spaces of discrete-and continuous-time nonlinear dynamical systems, modeled respectively by a two-dimensional map and a set of three first-order ordinary differential equations. We show for both cases that, by varying the amplitude of an external periodic forcing with a fixed angular frequency, windows of periodicity embedded in a chaotic region may be totally suppressed.
引用
收藏
页数：7
相关论文
共 50 条
  • [1] Entropy control in discrete- and continuous-time dynamic systems
    Vladimirov, SN
    Shtraukh, AA
    [J]. TECHNICAL PHYSICS, 2004, 49 (07) : 805 - 809
  • [2] Connecting the discrete- and continuous-time quantum walks
    Strauch, Frederick W.
    [J]. PHYSICAL REVIEW A, 2006, 74 (03):
  • [3] From discrete- to continuous-time ergodic theorems
    Bergelson, V.
    Leibman, A.
    Moreira, C. G.
    [J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2012, 32 : 383 - 426
  • [4] Periodicity suppression in continuous-time dynamical systems by external forcing
    Mathias, Amanda C.
    Rech, Paulo C.
    [J]. CHAOS, 2012, 22 (04)
  • [5] Exponential Convergence of the Discrete- and Continuous-Time Altafini Models
    Liu, Ji
    Chen, Xudong
    Basar, Tamer
    Belabbas, Mohamed Ali
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (12) : 6168 - 6182
  • [6] Combining the Advantages of Discrete- and Continuous-time MIP Scheduling Models
    Lee, Hojae
    Maravelias, Christos
    [J]. 29TH EUROPEAN SYMPOSIUM ON COMPUTER AIDED PROCESS ENGINEERING, PT B, 2019, 46 : 1171 - 1176
  • [7] Formal Verification of Unknown Discrete- and Continuous-Time Systems: A Data-Driven Approach
    Nejati, Ameneh
    Lavaei, Abolfazl
    Jagtap, Pushpak
    Soudjani, Sadegh
    Zamani, Majid
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2023, 68 (05) : 3011 - 3024
  • [8] MARKOV DECISION CHAINS IN DISCRETE- AND CONTINUOUS-TIME; A UNIFIED APPROACH
    Sladky, Karel
    [J]. QUANTITATIVE METHODS IN ECONOMICS [MULTIPLE CRITERIA DECISION MAKING XV], 2010, : 207 - 219
  • [9] RISK SENSITIVE DISCRETE- AND CONTINUOUS-TIME MARKOV REWARD PROCESSES
    Sladky, Karek
    [J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE QUANTITATIVE METHODS IN ECONOMICS (MULTIPLE CRITERIA DECISION MAKING XIV), 2008, : 272 - 281
  • [10] Discrete- and continuous-time local cosine bases with multiple overlapping
    Bernardini, R
    Vetterli, M
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1998, 46 (12) : 3166 - 3180
12345