Middle periodic orbit and its application to chaos control

被引:0
|
作者
Yang, L [1 ]
Liu, ZR
Zheng, Y
机构
[1] Shanghai Univ, Dept Math, Shanghai 201800, Peoples R China
[2] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China
[3] Yangzhou Univ, Dept Math, Jiangsu 225002, Peoples R China
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2002年 / 12卷 / 08期
关键词
chaos; chaos control; symbolic dynamics;
D O I
10.1142/S0218127402005534
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, a new method, by which any point in a chaotic attractor can be guided to any target periodic orbit, is proposed. The "middle" periodic orbit is used to lead an initial point in a chaotic attractor to a neighborhood of the target orbit, and then controlling chaos can be achieved by the improved OGY method. The time needed in the method using "middle" periodic orbit is less than that of the OGY method, and is inversely proportional to the square of the topological entropy of the given map. An example is used to illustrate the results.
引用
收藏
页码:1869 / 1876
页数:8
相关论文
共 50 条
  • [31] NEAR ACTION-DEGENERATE PERIODIC-ORBIT BUNCHES: A SKELETON OF CHAOS
    Altland, A.
    Braun, P.
    Haake, F.
    Heusler, S.
    Knieper, G.
    Mueller, S.
    PATH INTEGRALS: NEW TRENDS AND PERSPECTIVES, PROCEEDINGS, 2008, : 40 - +
  • [32] Control of Chaos to Obtain Periodic Behaviour via Nonlinear Control
    Khan, Mohammad Ali
    Sahoo, Banshidhar
    Mondal, Arun Kumar
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 2015, 85 (01) : 143 - 148
  • [33] Control of Chaos to Obtain Periodic Behaviour via Nonlinear Control
    Mohammad Ali Khan
    Banshidhar Sahoo
    Arun Kumar Mondal
    Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2015, 85 : 143 - 148
  • [34] Sustained chaos and control by means of weak periodic excitations: Application to a class of nonlinear electronic systems
    Preciado, VM
    Chacon, R
    Tereshko, V
    2003 INTERNATIONAL CONFERENCE PHYSICS AND CONTROL, VOLS 1-4, PROCEEDINGS: VOL 1: PHYSICS AND CONTROL: GENERAL PROBLEMS AND APPLICATIONS; VOL 2: CONTROL OF OSCILLATIONS AND CHAOS; VOL 3: CONTROL OF MICROWORLD PROCESSES. NANO- AND FEMTOTECHNOLOGIES; VOL 4: NONLINEAR DYNAMICS AND CONTROL, 2003, : 434 - 439
  • [35] Chaos in neurons and its application: Perspective of chaos engineering
    Hirata, Yoshito
    Oku, Makito
    Aihara, Kazuyuki
    CHAOS, 2012, 22 (04)
  • [36] Emergence of chaos and its control in a dissipative dielectric elastomeric membrane system under periodic loads
    Behera, Subrat Kumar
    Ranjan, Rashi Aditi
    Sarangi, Somnath
    Samantaray, Arun Kumar
    Bhattacharyya, Ranjan
    JOURNAL OF SOUND AND VIBRATION, 2024, 577
  • [37] Emergence of chaos and its control in a dissipative dielectric elastomeric membrane system under periodic loads
    Behera, Subrat Kumar
    Ranjan, Rashi Aditi
    Sarangi, Somnath
    Samantaray, Arun Kumar
    Bhattacharyya, Ranjan
    Journal of Sound and Vibration, 2024, 577
  • [38] Combination of Improved OGY and Guiding Orbit Method for Chaos Control
    Yi, Lingzhi
    Liu, Yue
    Yu, Wenxin
    JOURNAL OF ADVANCED COMPUTATIONAL INTELLIGENCE AND INTELLIGENT INFORMATICS, 2019, 23 (05) : 847 - 855
  • [39] An LMI-based stable fuzzy control of nonlinear systems and its application to control of chaos
    Wang, HO
    Tanaka, K
    FUZZ-IEEE '96 - PROCEEDINGS OF THE FIFTH IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3, 1996, : 1433 - 1438
  • [40] Fuzzy Impulsive Control with Application to Chaos Control
    Zamani, Iman
    Shafie, Masoud
    2009 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3, 2009, : 338 - 343