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  • Stability and Bifurcation Theory for Non-Autonomous Differential Equations

    Cetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera

    Series series Mathematics and Statistics (R0)
    This volume contains the notes from five lecture courses devoted to nonautonomous differential systems, in which appropriate topological and dynamical techniques were described and applied to a variety of problems. The courses took place during the C.I.M.E. Session "Stability and Bifurcation Problems for Non-Autonomous Differential Equations," held in Cetraro, Italy, June 19-25 2011. Anna Capietto ... Leer más

    $49.99 USD

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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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  • The Convergence Problem for Dissipative Autonomous Systems

    Classical Methods and Recent Advances

    Series series Mathematics and Statistics (R0)
    The book investigates classical and more recent methods of study for the asymptotic behavior of dissipative continuous dynamical systems with applications to ordinary and partial differential equations, the main question being convergence (or not) of the solutions to an equilibrium. After reviewing the basic concepts of topological dynamics and the definition of gradient-like systems on a metric ... 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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  • Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications

    Cetraro, Italy 2011, Editors: Paola Loreti, Nicoletta Anna Tchou

    Series series Mathematics and Statistics (R0)
    These Lecture Notes contain the material relative to the courses given at the CIME summer school held in Cetraro, Italy from August 29 to September 3, 2011. The topic was "Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications". The courses dealt mostly with the following subjects: first order and second order Hamilton-Jacobi-Bellman equations, properties of viscosity ... Leer más

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  • Singular Perturbations

    Introduction to System Order Reduction Methods with Applications

    Series series Mathematics and Statistics (R0)
    These lecture notes provide a fresh approach to investigating singularly perturbed systems using asymptotic and geometrical techniques. It gives many examples and step-by-step techniques, which will help beginners move to a more advanced level.Singularly perturbed systems appear naturally in the modelling of many processes that are characterized by slow and fast motions simultaneously, for example ... Leer más

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  • Dynamical Systems with Applications using MATLAB®

    de Stephen Lynch ...
    Series series Mathematics and Statistics (R0)
    This textbook, now in its second edition, provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines. It emphasizes applications and simulation utilizing MATLAB®, Simulink®, the Image Processing Toolbox® and the Symbolic Math toolbox®, including MuPAD.Features new to the second edition include· ... Leer más

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  • Nonlinear Maps and their Applications

    Selected Contributions from the NOMA 2013 International Workshop

    Series series Springer Nature Proceedings excluding Computer Science
    In the field of Dynamical Systems, nonlinear iterative processes play an important role. Nonlinear mappings can be found as immediate models for many systems from different scientific areas, such as engineering, economics, biology, or can also be obtained via numerical methods permitting to solve non-linear differential equations. In both cases, the understanding of specific dynamical behaviors ... Leer más

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  • A Short Course in Ordinary Differential Equations

    de Qingkai Kong ...
    Series series Mathematics and Statistics (R0)
    This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincaré—Bendixson theorem, and ... Leer más

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  • Mathematical Challenges in a New Phase of Materials Science

    Kyoto, Japan, August 2014

    Edición de Yasumasa Nishiura, Motoko Kotani ...
    Series series Springer Nature Proceedings excluding Computer Science
    This volume comprises eight papers delivered at the RIMS International Conference "Mathematical Challenges in a New Phase of Materials Science", Kyoto, August 4–8, 2014. The contributions address subjects in defect dynamics, negatively curved carbon crystal, topological analysis of di-block copolymers, persistence modules, and fracture dynamics. These papers highlight the strong interaction ... Leer más

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  • Ordinary Differential Equations and Mechanical Systems

    Series series Mathematics and Statistics (R0)
    This book applies a step-by-step treatment of the current state-of-the-art of ordinary differential equations used in modeling of engineering systems/processes and beyond. It covers systematically ordered problems, beginning with first and second order ODEs, linear and higher-order ODEs of polynomial form, theory and criteria of similarity, modeling approaches, phase plane and phase space concepts ... 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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