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Perturbation Methods, Instability, Catastrophe And Chaos

This important book introduces perturbation and qualitative methods for differential equations in terms understandable to students with;

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Nonlinear & Complex Systems

Vibrations and Waves. Section 2 - Perturbation Theory and Homotopy Perturbation Methods. Section 3 - Bifurcation Analysis and Chaos Synchronization;

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Fracture and Complexity

, and (ii) instability and chaos arising from simple nonlinear rules. Providing insights into the rapidly growing field of complexity sciences;

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Fracture and Complexity

, and (ii) instability and chaos arising from simple nonlinear rules. Providing insights into the rapidly growing field of complexity sciences;

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Uncertainty Quantification for Hyperbolic and Kinetic Equations

range of different aspects, including: polynomial chaos expansions, perturbation methods, multi-level Monte Carlo methods, importance sampling;

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Toward Analytical Chaos in Nonlinear Systems

effective to achieve periodic motions and corresponding bifurcation trees to chaos analytically. Toward Analytical Chaos in Nonlinear Systems;

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Perturbation Methods

In this book the author presents the theory and techniques underlying perturbation methods in a manner that will make the book widely;

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Catastrophe Theory

investigating the phenomena of bifurcation and chaos, Catastrophe Theory proved t;

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Nonlinear Dynamics, Chaos and Instability

evaluation of the BDS is included.Nonlinear Dynamics, Chaos, and Instability also reviews important issues in the theoretical economics literature on;

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Perturbation Methods for Engineers and Scientists

Perturbation Methods for Engineers and Scientists examines the main techniques of perturbation expansions applied to both differential;

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Perturbation Methods for Engineers and Scientists

Perturbation Methods for Engineers and Scientists examines the main techniques of perturbation expansions applied to both differential;

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Perturbation Methods in Science and Engineering

Perturbation Methods in Science and Engineering provides the fundamental and advanced topics in perturbation methods in science and;

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A First Look at Perturbation Theory

Undergraduates in engineering and the physical sciences receive a thorough introduction to perturbation theory in this useful and;

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Instability, Chaos and Predictability in Celestial Mechanics and Stellar Dynamics

sections: chaos, ergodic and stochastic motion, stellar systems and galaxies, triple and many body problem, and general celestial mechanics and;

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From Chaos to Catastrophe?

. Staying close to their technical meanings in chaos and catastrophe theory, chaotic processes are described in mainly neurobiological and;

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From Chaos to Catastrophe?

. Staying close to their technical meanings in chaos and catastrophe theory, chaotic processes are described in mainly neurobiological and;

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Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods

demonstrated a random-like behavior called chaos. Through numerical simulations made possible by modern computers, and through experiments with;

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Perturbations, Optimization, and Statistics

rules applies perturbations to decision and learning procedures. These methods provide simple and highly efficient learning rules with improved;

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Difference Methods for Singular Perturbation Problems

generated by nonsmooth data, unboundedness of the domain, and the perturbation vector parameter. This part also studies both the solution and its;

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Perturbation Methods in Credit Derivatives

Stress-test financial models and price credit instruments with confidence and efficiency using the perturbation approach taught in this;

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Colonial Chaos in the Southern Red Sea

Today, the countries bordering the Red Sea are riven with instability. Why are the region's contemporary problems so persistent and;

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Colonial Chaos in the Southern Red Sea

Today, the countries bordering the Red Sea are riven with instability. Why are the region's contemporary problems so persistent and;

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Construction of Mappings for Hamiltonian Systems and Their Applications

Based on the method of canonical transformation of variables and the classical perturbation theory, this innovative book treats the;

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Genome Instability

This volume presents forty-two methods and protocols to analyze diverse aspects of genome instability. Chapters detail mutagenesis and;

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Approximate Analytical Methods for Solving Ordinary Differential Equations

recently developed procedures, including the classical series solution method, diverse perturbation methods, pioneering asymptotic methods, and the;

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Approximate Analytical Methods for Solving Ordinary Differential Equations

recently developed procedures, including the classical series solution method, diverse perturbation methods, pioneering asymptotic methods, and the;

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Cambridge Nonlinear Science Series

This book describes advances in the application of chaos theory to classical scattering and nonequilibrium statistical mechanics generally;

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