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  • Regularity and Stochasticity of Nonlinear Dynamical Systems

    Series series Engineering (R0)
    This book presents recent developments in nonlinear dynamics and physics with an emphasis on complex systems. The contributors provide recent theoretic developments and new techniques to solve nonlinear dynamical systems and help readers understand complexity, stochasticity, and regularity in nonlinear dynamical systems. This book covers integro-differential equation solvability, Poincare ... Leer más

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  • Handbook of Analysis and Its Foundations

    Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its ... Leer más

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  • Book of Extremes

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    de Ted G. Lewis ...
    Series series Engineering (R0)
    What makes the 21st century different from the 20th century? This century is the century of extremes -- political, economic, social, and global black-swan events happening with increasing frequency and severity. Book of Extremes is a tour of the current reality as seen through the lens of complexity theory – the only theory capable of explaining why the Arab Spring happened and why it will happen ... Leer más

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  • Advanced H∞ Control

    Towards Nonsmooth Theory and Applications

    Series series Mathematics and Statistics (R0)
    This compact monograph is focused on disturbance attenuation in nonsmooth dynamic systems, developing an H**∞ approach in the nonsmooth setting. Similar to the standard nonlinear H**∞ approach, the proposed nonsmooth design guarantees both the internal asymptotic stability of a nominal closed-loop system and the dissipativity inequality, which states that the size of an error signal is uniformly ... Leer más

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  • Progress in Turbulence VII

    Proceedings of the iTi Conference in Turbulence 2016

    Series series Springer Nature Proceedings excluding Computer Science
    This volume collects the edited and reviewed contribution presented in the 7th iTi Conference in Bertinoro, covering fundamental and applied aspects in turbulence. In the spirit of the iTi conference, the volume is produced after the conference so that the authors had the opportunity to incorporate comments and discussions raised during the meeting.In the present book, the contributions have been ... Leer más

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  • BONUS Algorithm for Large Scale Stochastic Nonlinear Programming Problems

    Series series Mathematics and Statistics (R0)
    This book presents the details of the BONUS algorithm and its real world applications in areas like sensor placement in large scale drinking water networks, sensor placement in advanced power systems, water management in power systems, and capacity expansion of energy systems. A generalized method for stochastic nonlinear programming based on a sampling based approach for uncertainty analysis and ... Leer más

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  • Advanced Functional Evolution Equations and Inclusions

    Series series Mathematics and Statistics (R0)
    This book presents up-to-date results on abstract evolution equations and differential inclusions in infinite dimensional spaces. It covers equations with time delay and with impulses, and complements the existing literature in functional differential equations and inclusions. The exposition is devoted to both local and global mild solutions for some classes of functional differential evolution ... Leer más

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  • Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles

    de Maoan Han, Pei Yu ...
    Series series Mathematics and Statistics (R0)
    Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon which the theory of limit cycles has a significant impact for both theoretical advances and practical solutions to problems. Hopf bifurcation from a center or a focus is integral to the theory of bifurcation of limit cycles, for which normal form theory is a central tool. Although Hopf bifurcation has ... Leer más

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  • Stability and Boundary Stabilization of 1-D Hyperbolic Systems

    Series series Mathematics and Statistics (R0)
    This monograph explores the modeling of conservation and balance laws of one-dimensional hyperbolic systems using partial differential equations. It presents typical examples of hyperbolic systems for a wide range of physical engineering applications, allowing readers to understand the concepts in whichever setting is most familiar to them. With these examples, it also illustrates how control ... Leer más

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  • Chaotic Dynamics in Nonlinear Theory

    de Lakshmi Burra ...
    Using phase–plane analysis, findings from the theory of topological horseshoes and linked-twist maps, this book presents a novel method to prove the existence of chaotic dynamics. In dynamical systems, complex behavior in a map can be indicated by showing the existence of a Smale-horseshoe-like structure, either for the map itself or its iterates. This usually requires some assumptions about the ... Leer más

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  • Replication of Chaos in Neural Networks, Economics and Physics

    Series series Physics and Astronomy (R0)
    This book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever book to consider chaos as an input for differential and hybrid equations. Chaotic sets and chaotic functions are used as inputs for systems with attractors: equilibrium points, cycles and tori. The findings strongly suggest that chaos theory can proceed from the theory of differential equations to a ... Leer más

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  • Progress and Challenges in Dynamical Systems

    Proceedings of the International Conference Dynamical Systems: 100 Years after Poincaré, September 2012, Gijón, Spain

    Series series Springer Nature Proceedings excluding Computer Science
    This book contains papers based on talks given at the International Conference Dynamical Systems: 100 years after Poincaré held at the University of Oviedo, Gijón in Spain, September 2012. It provides an overview of the state of the art in the study of dynamical systems.This book covers a broad range of topics, focusing on discrete and continuous dynamical systems, bifurcation theory, celestial ... Leer más

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