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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/112103
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/112103


    Title: A novel approach to synchronization of nonlinearly coupled network systems with delays
    Authors: 曾睿彬
    Tseng, Jui Pin
    Contributors: 應數系
    Keywords: Linear systems;Time delay;Coupled systems;Delay;Fitzhugh Nagumo neurons;FitzHugh-Nagumo systems;Global synchronization;Nonlinear coupling;Nonlinearly-coupled networks;Oscillatory behaviors;Synchronization
    Date: 2016-06
    Issue Date: 2017-08-23 10:42:55 (UTC+8)
    Abstract: In this investigation, a novel approach to establishing the global synchronization of coupled network systems is presented. Under this approach, individual subsystems can be non-autonomous, and the coupling configuration is rather general. The coupling terms can be non-diffusive, nonlinear, time-dependent, asymmetric, and with time delays. With an iteration scheme, the problem of synchronization is transformed into solving a corresponding linear system of algebraic equations. Subsequently, delay-dependent and delay-independent criteria for global synchronization can be established. We implement the present approach to analyze synchronization of the FitzHugh-Nagumo systems under delayed and nonlinear sigmoidal coupling. Two examples are presented to demonstrate new dynamical scenarios, where oscillatory behavior and multistability emerge or are suppressed as the coupled neurons synchronize under the synchronization criterion. In addition, asynchrony induced by the coupling strength or coupling delay occurs while the synchronization criterion is violated.
    Relation: Physica A: Statistical Mechanics and its Applications, 452, 266-280
    Data Type: article
    DOI 連結: http://dx.doi.org/10.1016/j.physa.2016.02.025
    DOI: 10.1016/j.physa.2016.02.025
    Appears in Collections:[應用數學系] 期刊論文

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