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Titlebook: Nonlinear Dynamics New Directions; Models and Applicati Hernán González-Aguilar,Edgardo Ugalde Book 2015 Springer International Publishing

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发表于 2025-3-21 16:10:56 | 显示全部楼层 |阅读模式
书目名称Nonlinear Dynamics New Directions
副标题Models and Applicati
编辑Hernán González-Aguilar,Edgardo Ugalde
视频video
概述Develops applications of nonlinear dynamics on a diversity of topics such as patterns of synchrony in neuronal networks, laser synchronization, control of chaotic systems, and the study of transient d
丛书名称Nonlinear Systems and Complexity
图书封面Titlebook: Nonlinear Dynamics New Directions; Models and Applicati Hernán González-Aguilar,Edgardo Ugalde Book 2015 Springer International Publishing
描述.This book, along with its companion volume, .Nonlinear Dynamics New Directions: Theoretical Aspects., covers topics ranging from fractal analysis to very specific applications of the theory of dynamical systems to biology. This second volume contains mostly new applications of the theory of dynamical systems to both engineering and biology. The first volume is devoted to fundamental aspects and includes a number of important new contributions as well as some review articles that emphasize new development prospects. The topics addressed in the two volumes include a rigorous treatment of fluctuations in dynamical systems, topics in fractal analysis, studies of the transient dynamics in biological networks, synchronization in lasers, and control of chaotic systems, among others..This book also:.· Develops applications of nonlinear dynamics on a diversity of topics such as patterns of synchrony in neuronal networks, laser synchronization, control of chaotic systems, and the study of transient dynamics in biological.· Includes a study of self-organized regularity in long-range systems.· Explains use of Levenstein‘s distance for measuring lexical evolution rates.
出版日期Book 2015
关键词Discontinuous Dynamics; Fluctuations in Dynamical Systems; Fractal Analysis; Levensteins Distance; Netwo
版次1
doihttps://doi.org/10.1007/978-3-319-09864-7
isbn_softcover978-3-319-36258-8
isbn_ebook978-3-319-09864-7Series ISSN 2195-9994 Series E-ISSN 2196-0003
issn_series 2195-9994
copyrightSpringer International Publishing Switzerland 2015
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发表于 2025-3-21 23:30:18 | 显示全部楼层
On Topological and Hyperbolic Properties of Systems with Homoclinic Tangencies,problem has no univalent solution, as it takes place in the case of a transversal homoclinic orbit. Here different situations are possible, depending on the character of the homoclinic tangency, when Λ is trivial or contains topological (hyperbolic) horseshoes. In this chapter we find certain condit
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Self-Organized Regularity in Long-Range Systems, trajectories, associated with invariant tori of the single-particle dynamics emerge as the number of particles is increased. Moreover, the construction of stationary solutions as well as studies of the maximal Lyapunov exponent of the systems show the same trend towards integrability. This feature
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Reducing the Sequential Dynamics of Excitatory Neural Networks to Synaptic Cellular Automata,ics of networks to the dynamics of cellular automata (CA) on the graph of connections. The attractors of the CA determine the different regimes of sequential dynamics of the original neural network. We illustrate our approach through Morris–Lecar and Hodgkin–Huxley neural networks.
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Transient Dynamics on the Edge of Stability,se geometrical image in phase space is a heteroclinic sequence, to study the behavior of complex multiagent systems such as brain or ecological food networks that present transient dynamics in a network with active elements whose equilibria are in multidimensional unstable manifolds. In particular,
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Phase Control of Chaotic Maps,rolling them through the phase difference between the forcing term and another harmonic perturbation. In the current chapter, we focus on the application of this control method to maps. In particular, we analyze two paradigmatic maps: the bouncing ball map and the Hénon map. As a result, we observe
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,Levenshtein’s Distance for Measuring Lexical Evolution Rates,he distance between languages is estimated by the average normalized Levenshtein distance between words from the list of 200 meanings maximally resistant to change. A sequential process of language classification described by random walks on the matrix of lexical distances allows to represent comple
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