Titlebook: Nonlinear Dynamics and Complexity; Valentin Afraimovich,Albert C. J. Luo,Xilin Fu Book 2014 Springer International Publishing Switzerland

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S. Rajasekar,M. A. F. Sanjuánions and individuals to rely on web-based applications to provide access to a variety of services. Today, web-based applications are routinely used in security-critical environments, such as medical, financial, and military systems..Web-based systems are a composition of infrastructure components, s

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Fractional Maps as Maps with Power-Law Memory, cases can be described by fractional differential equations, which are integro-differential equations. To study the general properties of nonlinear fractional dynamical systems we use fractional maps, which are discrete nonlinear systems with power-law memory derived from fractional differential eq

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Map-Based Approach to Problems of Spiking Neural Network Dynamics,osenblueth developed a cellular automaton system for modeling the propagation of excitation pulses in the cardiac tissue. Cellular automata are regular lattices of elements (cells), each having a finite number of specific states. These states are updated synchronously at discrete time moments, accor

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Adaptive Landscape with Singularity in Evolutionary Processes, is when evolution maximizes or minimizes the value of some function of the trait under consideration, thus providing an absolute measure of fixation for a biological process in a probabilistic sense. We survey the role of adaptive landscape and give some general results concerning the question of i

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Scaffolding of Complex Systems Data,rated by such systems call for the relevant tools for their classification and analysis. We show that discrete time scale-dependent random walks on the graph models of relational databases can be generated by a variety of equivalence relations imposed between walks (e.g., composite functions, inheri

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Treasure Hunting in Virtual Environments: Scaling Laws of Human Motions and Mathematical Models of d of searching activity on large spatiotemporal scales. The better performance of men in virtual environments can be associated with the regularly renewed computer game experience, essentially in games played through a first-person perspective. We suggested a simple self-organized critical model of

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Vibrational Resonance in Time-Delayed Nonlinear Systems, and in a system of . Duffing oscillators coupled unidirectionally and driven by both a low- and a high-frequency periodic force is presented. The investigation is performed through both theoretical approach and numerical simulation. Theoretically determined values of the amplitude of the high frequ