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Subject
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Nonlinear coupling 3 Asymmetrical coupling matrix 1 Complex systems 1 Delayed coupling 1 Dynamical networks 1 Global synchronization 1 Multiplicative noise 1 Multivariate distributions 1 Non-additive entropy 1 Non-stationary stochastic processes 1 Nonextensive statistical mechanics 1 Nonlinear coupling function 1 Projection method 1 Synchronization 1 The left eigenvector 1 q-Gaussian 1 q-statistics 1
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Undetermined 4
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Article 4
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Undetermined 4
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Chen, Tianping 2 Liu, Xiwei 2 Nelson, Kenric P. 2 Umarov, Sabir 1
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Physica A: Statistical Mechanics and its Applications 4
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RePEc 4
Showing 1 - 4 of 4
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A definition of the coupled-product for multivariate coupled-exponentials
Nelson, Kenric P. - In: Physica A: Statistical Mechanics and its Applications 422 (2015) C, pp. 187-192
The coupled-product and coupled-exponential of the generalized calculus of nonextensive statistical mechanics are defined for multivariate functions. The nonlinear statistical coupling is indexed such that κd=κ/1+dκ, where d is the dimension of the argument of the multivariate...
Persistent link: https://www.econbiz.de/10011194047
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Nonlinear statistical coupling
Nelson, Kenric P.; Umarov, Sabir - In: Physica A: Statistical Mechanics and its Applications 389 (2010) 11, pp. 2157-2163
statistics as representing the nonlinear coupling or decoupling of statistical states is proposed. The escort probability is … interpreted as the coupled probability, with Q=1−q defined as the degree of nonlinear coupling between the statistical states …-stationary stochastic processes and the nonlinear coupling which defines the coupled-Gaussian limit distribution. The effects of additive …
Persistent link: https://www.econbiz.de/10011064377
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Synchronization analysis for nonlinearly-coupled complex networks with an asymmetrical coupling matrix
Liu, Xiwei; Chen, Tianping - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 16, pp. 4429-4439
asymmetrical coupling matrix. By projecting the nonlinear coupling function onto a linear one and assuming the difference between …
Persistent link: https://www.econbiz.de/10010589104
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Exponential synchronization of nonlinear coupled dynamical networks with a delayed coupling
Liu, Xiwei; Chen, Tianping - In: Physica A: Statistical Mechanics and its Applications 381 (2007) C, pp. 82-92
Lyapunov functional method. It is shown that, for some coupled chaotic systems and nonlinear coupling functions, if the …
Persistent link: https://www.econbiz.de/10010591875
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