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Applicable Analysis
An International Journal
Volume 62, 1996 - Issue 3-4
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Original Articles

Abstract methods for synchronization and applications

Pages 263-296 | Received 01 Jun 1995, Published online: 02 May 2007

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Read on this site (7)

A. Acosta, P. García & H. Leiva. (2013) Synchronization of non-identical extended chaotic systems. Applicable Analysis 92:4, pages 740-751.
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Peter E. Kloeden, Andreas Neuenkirch & Raffaella Pavani. (2009) Synchronization of noisy dissipative systems under discretization. Journal of Difference Equations and Applications 15:8-9, pages 785-801.
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Igor Chueshov. (2007) Invariant manifolds and nonlinear master-slave synchronization in coupled systems. Applicable Analysis 86:3, pages 269-286.
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P.E. Kloeden. (2004) Synchronization of Discrete Time Dynamical Systems† . Journal of Difference Equations and Applications 10:13-15, pages 1133-1138.
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Klaus R. Schneider & Serhiy Yanchuk . (2003) Complete synchronization of symmetrically soupled sutonomous systems . Applicable Analysis 82:12, pages 1127-1143.
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Marcio F. Gameiro & Hildebrando M. Rodrigues. (2001) Applications of robust synchronization to communication systems. Applicable Analysis 79:1-2, pages 21-45.
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Mirelson M. Freitas, Mauricio S. Vinhote, Anderson J. A. Ramos & Cid T. S. Dos Reis. Synchronization phenomena in thermoelastic waves connected in parallel. Applicable Analysis 0:0, pages 1-21.
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Articles from other publishers (40)

Jui-Pin Tseng. (2024) Uniform ultimate boundedness and approximate synchronization of coupled reaction-diffusion systems with parameter mismatches. Journal of Mathematical Analysis and Applications 533:1, pages 127993.
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Wei Wei, Hongjun Gao & Qiyong Cao. (2024) Synchronization of differential equations driven by linear multiplicative fractional Brownian motion. AIP Advances 14:3.
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Renhai Wang, Mirelson M. Freitas, Baowei Feng & Anderson J.A. Ramos. (2023) Global attractors and synchronization of coupled critical Lamé systems with nonlinear damping. Journal of Differential Equations 359, pages 476-513.
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Zhang Chen, Lingyu Li & Dandan Yang. (2021) Asymptotic behavior of random coupled Ginzburg–Landau equation driven by colored noise on unbounded domains. Advances in Difference Equations 2021:1.
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Zhen Li & Jicheng Liu. (2020) Synchronization and Averaging Principle Of Stationary Solutions For Stochastic Differential Equations. Potential Analysis 55:2, pages 339-368.
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Igor Chueshov & Björn SchmalfußIgor Chueshov & Björn Schmalfuß. 2020. Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems. Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems 3 114 .
Igor Chueshov, Tamara Fastovska & Iryna Ryzhkova. (2019) Quasi-stability Method in Study of Asymptotic Behavior of Dynamical Systems. Zurnal matematiceskoj fiziki, analiza, geometrii 15:4, pages 448-501.
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Adel Ouannas, Amina-Aicha Khennaoui, Zaid Odibat, Viet-Thanh Pham & Giuseppe Grassi. (2019) On the dynamics, control and synchronization of fractional-order Ikeda map. Chaos, Solitons & Fractals 123, pages 108-115.
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Adel Ouannas, Mouna Abdelli, Zaid Odibat, Xiong Wang, Viet-Thanh Pham, Giuseppe Grassi & Ahmed Alsaedi. (2019) Synchronization Control in Reaction-Diffusion Systems: Application to Lengyel-Epstein System. Complexity 2019, pages 1-8.
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Shahad Saadi Mahdi Al-Azzawi, Jicheng Liu & Xianming Liu. (2018) The synchronization of stochastic differential equations with linear noise. Stochastics and Dynamics 18:06, pages 1850049.
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Hildebro M. Rodrigues, Jianhong Wu & Marcio Gameiro. (2018) SWITCHING SYNCHRONIZED CHAOTIC SYSTEMS APPLIED TO SECURE COMMUNICATION. Journal of Applied Analysis & Computation 8:2, pages 413-426.
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Shahad Al-azzawi, Jicheng Liu & Xianming Liu. (2017) Convergence rate of synchronization of systems with additive noise. Discrete & Continuous Dynamical Systems - B 22:2, pages 227-245.
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Igor Chueshov, Peter E. Kloeden & Meihua Yang. (2016) Synchronization in coupled stochastic sine-Gordon wave model. Discrete and Continuous Dynamical Systems - Series B 21:9, pages 2969-2990.
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Anhui Gu, Caibin Zeng & Yangrong Li. (2015) Synchronization of Systems with Fractional Environmental Noises on Finite Lattice. Fractional Calculus and Applied Analysis 18:4, pages 891-910.
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Anhui Gu. (2013) Synchronization of Coupled Stochastic Systems Driven by -Stable Lévy Noises . Mathematical Problems in Engineering 2013, pages 1-10.
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Mahmood Amiri, Fariba Bahrami & Mahyar Janahmadi. (2012) Functional contributions of astrocytes in synchronization of a neuronal network model. Journal of Theoretical Biology 292, pages 60-70.
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Mahmood Amiri, Ghazal Montaseri & Fariba Bahrami. (2011) On the role of astrocytes in synchronization of two coupled neurons: a mathematical perspective. Biological Cybernetics 105:2, pages 153-166.
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HILDEBRANDO M. RODRIGUES, JIANHONG WU & LUÍS R. A. GABRIEL. (2011) UNIFORM DISSIPATIVENESS, ROBUST SYNCHRONIZATION AND LOCATION OF THE ATTRACTOR OF PARAMETRIZED NONAUTONOMOUS DISCRETE SYSTEMS. International Journal of Bifurcation and Chaos 21:02, pages 513-526.
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Hildebrando M. Rodrigues, Jianhong Wu & Marcio Gameiro. (2011) ROBUST SYNCHRONIZATION OF PARAMETRIZED NONAUTONOMOUS DISCRETE SYSTEMS WITH APPLICATIONS TO COMMUNICATION SYSTEMS. Journal of Applied Analysis & Computation 1:4, pages 537-547.
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Igor Chueshov & Björn Schmalfuß. (2010) Master-slave synchronization and invariant manifolds for coupled stochastic systems. Journal of Mathematical Physics 51:10.
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ZHONGWEI SHEN, SHENGFAN ZHOU & XIAOYING HAN. (2012) SYNCHRONIZATION OF COUPLED STOCHASTIC SYSTEMS WITH MULTIPLICATIVE NOISE. Stochastics and Dynamics 10:03, pages 407-428.
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Olena Naboka. (2009) On partial synchronization of nonlinear oscillations of two Berger plates coupled by internal subdomains. Nonlinear Analysis: Theory, Methods & Applications 71:12, pages 6299-6311.
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P. E. Kloeden & R. Pavani. (2009) Dissipative synchronization of nonautonomous and random systems. GAMM-Mitteilungen 32:1, pages 80-92.
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A. P. MIJOLARO, L. F. C. ABERTO & N. G. BRETAS. (2011) SYNCHRONIZATION OF A CLASS OF SECOND-ORDER NONLINEAR SYSTEMS. International Journal of Bifurcation and Chaos 18:11, pages 3461-3471.
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Jiang Wang, Meili Lu & Huiyan Li. (2008) Synchronization of coupled equations of Morris–Lecar model. Communications in Nonlinear Science and Numerical Simulation 13:6, pages 1169-1179.
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Olena Naboka. (2008) Synchronization phenomena in the system consisting of m coupled Berger plates. Journal of Mathematical Analysis and Applications 341:2, pages 1107-1124.
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TOMÁS CARABALLO, PETER E. KLOEDEN & ANDREAS NEUENKIRCH. (2011) SYNCHRONIZATION OF SYSTEMS WITH MULTIPLICATIVE NOISE. Stochastics and Dynamics 08:01, pages 139-154.
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Olena Naboka. (2007) Synchronization of nonlinear oscillations of two coupling Berger plates. Nonlinear Analysis: Theory, Methods & Applications 67:4, pages 1015-1026.
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A.P. Mijolaro, L.F.C. Alberto & N.G. Bretas. (2007) STUDIES OF SYNCHRONIZATION IN NONLINEAR SYSTEMS USING THE GRONWALL INEQUALITY. IFAC Proceedings Volumes 40:20, pages 268-273.
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Tomás Caraballo, Igor D. Chueshov & Peter E. Kloeden. (2007) Synchronization of a Stochastic Reaction‐Diffusion System on a Thin Two‐Layer Domain. SIAM Journal on Mathematical Analysis 38:5, pages 1489-1507.
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E.P.T. Cari, L.F.C. Alberto & N.G. Bretas. (2006) A methodology for parameter estimation of synchronous generators based on trajectory sensitivity and synchronization technique. A methodology for parameter estimation of synchronous generators based on trajectory sensitivity and synchronization technique.
Tomás Caraballo & Peter E Kloeden. (2005) The persistence of synchronization under environmental noise. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461:2059, pages 2257-2267.
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Liang Zhao. (2012) Chaotic Synchronization for Scene Segmentation. International Journal of Modern Physics B 17:22n24, pages 4387-4394.
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Hildebrando M. RodriguesLuís F. C. Alberto & Newton G. Bretas. (2002) [NO TITLE AVAILABLE]. Sba: Controle & Automação Sociedade Brasileira de Automatica 13:1, pages 39-55.
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A Acosta & P García. (2001) Synchronization of non-identical chaotic systems: an exponential dichotomies approach. Journal of Physics A: Mathematical and General 34:43, pages 9143-9151.
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H.M. Rodrigues, L.F.C. Alberto & N.G. Bretas. (2001) Uniform Invariance Principle and Synchronization. Robustness with Respect to Parameter Variation. Journal of Differential Equations 169:1, pages 228-254.
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H.M. Rodrigues, L.F.C. Alberto & N.G. Bretas. (2000) On the invariance principle: generalizations and applications to synchronization. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 47:5, pages 730-739.
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N.G. Bretas & L.F.C. Alberto. (2000) Coherency on electrical power systems. Coherency on electrical power systems.
N.G. Bretas & L.F.C. Alberto. (2000) Uniform invariance principle and synchronization. Robustness with respect to parameter variation. Uniform invariance principle and synchronization. Robustness with respect to parameter variation.
Alexandre N Carvalho, Hildebrando M Rodrigues & Tomasz Dłotko. (1998) Upper Semicontinuity of Attractors and Synchronization. Journal of Mathematical Analysis and Applications 220:1, pages 13-41.
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