Synchronization of noisy dissipative systems under discretization

被引:4
|
作者
Kloeden, Peter E. [1 ]
Neuenkirch, Andreas [1 ]
Pavani, Raffaella [2 ]
机构
[1] Goethe Univ Frankfurt, Inst Math, D-60054 Frankfurt, Germany
[2] Politecn Milan, Dipartimento Matemat, I-20155 Milan, Italy
关键词
synchronization; additive noise; stationary stochastic process; one-sided dissipative Lipschitz condition; drift-implicit Euler scheme; ATTRACTORS;
D O I
10.1080/10236190701754222
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is shown that the synchronization of noisy dissipative systems is preserved when a drift-implicit Euler scheme is used for the discretization. In particular, in this case the order of discretization and synchronization can be exchanged.
引用
收藏
页码:785 / 801
页数:17
相关论文
共 50 条
  • [1] Synchronization of Multiplicative Noise Dissipative Systems under Discretization
    Falah, Sarhan
    Ali, Fairouz Sher
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2020, 15 (03): : 799 - 808
  • [2] Dissipative synchronization of nonlinear chaotic systems under information constraints
    Gao, Yanbo
    Zhang, Xiaomei
    Lu, Guoping
    INFORMATION SCIENCES, 2013, 225 : 81 - 97
  • [3] Synchronization of chaotic systems based on observer design under noisy environment
    Farid, Ramy
    Ibrahim, Abdul-Azim
    Abo-Zalam, Belal
    RECENT ADVANCES IN AUTOMATION & INFORMATION: PROCEEDINGS OF THE 10TH WSEAS INTERNATIONAL CONFERENCE ON AUTOMATION & INFORMATION (ICAI'09), 2009, : 64 - +
  • [4] Detecting phase synchronization in noisy systems
    Palus, M
    PHYSICS LETTERS A, 1997, 235 (04) : 341 - 351
  • [5] Synchronization in noisy systems and cardiorespiratory interaction
    Rosenblum, MG
    Kurths, J
    Pikovsky, A
    Schafer, C
    Tass, P
    Abel, HH
    IEEE ENGINEERING IN MEDICINE AND BIOLOGY MAGAZINE, 1998, 17 (06): : 46 - 53
  • [6] Synchronization in noisy systems and cardiorespiratory interaction
    Rosenblum, Michael G.
    Kurths, Jürgen
    Pikovsky, Arkady
    Schäfer, Carsten
    Tass, Peter
    Abel, Hans-Henning
    IEEE Engineering in Medicine and Biology Magazine, 17 (06): : 46 - 53
  • [7] Synchronization of noisy systems by stochastic signals
    Neiman, A
    Schimansky-Geier, L
    Moss, F
    Shulgin, B
    Collins, JJ
    PHYSICAL REVIEW E, 1999, 60 (01) : 284 - 292
  • [8] Synchronization of noisy systems by stochastic signals
    Neiman, Alexander
    Schimansky-Geier, Lutz
    Moss, Frank
    Shulgin, Boris
    Collins, James J.
    Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 60 (01):
  • [9] Dissipative synchronization of nonautonomous and random systems
    Kloeden, P.E.
    Pavani, R.
    GAMM Mitteilungen, 2009, 32 (01) : 80 - 92
  • [10] Database Matching Under Noisy Synchronization Errors
    Bakirtas, Serhat
    Erkip, Elza
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2024, 70 (06) : 4335 - 4367