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

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Infusion

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,

Torrid

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