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Deterministic Chaos in One-Dimensional Continuous Systems

deterministic chaos, simple chaotic systems are briefly discussed. Next, bifurcation and chaotic dynamics of the Euler-Bernoulli and Timoshenko beams;

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Smooth And Nonsmooth High Dimensional Chaos And The Melnikov-type Methods

existing literature even on one-degree-of-freedom nonautonomous dynamics.This pioneering attempt to predict the occurrence of deterministic chaos;

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Replication of Chaos in Neural Networks Economics and Physics

This book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever book to consider chaos as an input for;

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An Introduction to Dynamical Systems and Chaos

continuous systems, beginning with one-dimensional flows. Symmetry is an inherent character of nonlinear systems, and the Lie invariance principle;

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Chaotic Maps

of chaotic maps in finite-dimensional spaces. The topics include one-dimensional dynamical systems (interval maps), bifurcations, general topological;

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Probabilistic Properties Of Deterministic Systems

give a unified treatment of a variety of mathematical systems generating densities, ranging from one-dimensional discrete time transformations;

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The Topology of Chaos

even when it is completely deterministic and predictable for short periods of time into the future. How does one model the dynamics of a system;

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Introduction to Chaos and Coherence

models exhibiting deterministic chaos. It is based on the lecture notes for a short course in dynamical systems theory given at the University;

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General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in Infinite Dimensions

The classical Pontryagin maximum principle (addressed to deterministic finite dimensional control systems) is one of the three milestones;

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Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems

abstract models and covers several important classes of coupled nonlinear deterministic and stochastic PDEs which generate infinite-dimensional;

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Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems

abstract models and covers several important classes of coupled nonlinear deterministic and stochastic PDEs which generate infinite-dimensional;

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Introduction to Mathematical Modeling and Chaotic Dynamics

, including testing of stability. It then describes the modeling of systems from natural science, focusing on one- and two-dimensional continuous and;

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Introduction to Mathematical Modeling and Chaotic Dynamics

, including testing of stability. It then describes the modeling of systems from natural science, focusing on one- and two-dimensional continuous and;

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Nonlinear Time Series Analysis

The paradigm of deterministic chaos has influenced thinking in many fields of science. Chaotic systems show rich and surprising;

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Chaos and Dynamical Systems 7 Primers in Complex Systems

emerge from dynamical systems: chaos and the butterfly effect, deterministic randomness, bifurcations, universality, phase space, and strange;

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Epsilon uitgaven 64 - Dynamical Systems and Chaos

systems like planetary motion, population dynamics, economic development, and climate evolution. One of the central concepts is that of `chaos', a;

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Chaotic Behaviour of Deterministic Dissipative Systems

phenomenon is known as deterministic chaos. The authors present chaos as a model of many seemingly random processes in nature. Basic notions from the;

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Discretization and Implicit Mapping Dynamics

This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous;

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Sharkovsky Ordering

applications. It addresses the coexistence of cycles for continuous interval maps and one-dimensional spaces, combinatorial dynamics on the interval;

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Nonuniform Hyperbolicity

deterministic chaos - the appearance of 'chaotic' motions in pure deterministic dynamical systems. A sufficiently complete description of topological;

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Grammatical Complexity And One-dimensional Dynamical Systems

and analysed thoroughly. This book is mainly devoted to explanation of this method and apply it to one-dimensional dynamical systems;

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Chaos and Chance

With emphasis on stochastic aspects of deterministic systems this short book introduces the reader to the basic facts and some special;

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Global Bifurcations and Chaos

of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and derives;

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Nonlinear Dynamics of Chaotic and Stochastic Systems

?ectsofnoiseonvariousregimesofdynamicsystems with noise-induced order. On the one hand, there exists a rich literature of excellent books on n- linear dynamics and chaos; on the other;

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Chaos in Hydrology

This authoritative book presents a comprehensive account of the essential roles of nonlinear dynamic and chaos theories in understanding;

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Practical Numerical Algorithms for Chaotic Systems

One of the basic tenets of science is that deterministic systems are completely predictable-given the initial condition and the equations;

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Design of Digital Chaotic Systems Updated by Random Iterations

novel modelling methods and hardware designs for two different one-dimensional chaotic systems, which satisfy Devaney's definition of chaos;

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