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An Introduction to Piecewise Smooth Dynamics, Paul Glendinning; Mike R. Jeffrey; Elena Bossolini


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Автор: Paul Glendinning; Mike R. Jeffrey; Elena Bossolini
Название:  An Introduction to Piecewise Smooth Dynamics
ISBN: 9783030236885
Издательство: Springer
Классификация:




ISBN-10: 3030236889
Обложка/Формат: Soft cover
Страницы: 129
Вес: 0.25 кг.
Дата издания: 2019
Серия: Advanced Courses in Mathematics - CRM Barcelona
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 30 tables, color; 30 illustrations, color; 30 illustrations, black and white; viii, 129 p. 60 illus., 30 illus. in color.
Размер: 244 x 170 x 8
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:
This book is aimed at mathematicians, scientists, and engineers, studying models that involve a discontinuity, or studying the theory of nonsmooth systems for its own sake. It is divided in two complementary courses: piecewise smooth flows and maps, respectively. Starting from well known theoretical results, the authors bring the reader into the latest challenges in the field, going through stability analysis, bifurcation, singularities, decomposition theorems and an introduction to kneading theory. Both courses contain many examples which illustrate the theoretical concepts that are introduced.

Дополнительное описание: Piecewise Smooth Flows.- Piecewise Smooth Maps.



Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods

Автор: Masao Fukushima; Liqun Qi
Название: Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
ISBN: 1441948058 ISBN-13(EAN): 9781441948052
Издательство: Springer
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Цена: 23058.00 р.
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Описание: The concept of "reformulation" has long been playing an important role in mathematical programming. A classical example is the penalization technique in constrained optimization that transforms the constraints into the objective function via a penalty function thereby reformulating a constrained problem as an equivalent or approximately equivalent unconstrained problem. More recent trends consist of the reformulation of various mathematical programming prob- lems, including variational inequalities and complementarity problems, into equivalent systems of possibly nonsmooth, piecewise smooth or semismooth nonlinear equations, or equivalent unconstrained optimization problems that are usually differentiable, but in general not twice differentiable. Because of the recent advent of various tools in nonsmooth analysis, the reformulation approach has become increasingly profound and diversified. In view of growing interests in this active field, we planned to organize a cluster of sessions entitled "Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods" in the 16th International Symposium on Mathematical Programming (ismp97) held at Lausanne EPFL, Switzerland on August 24-29, 1997. Responding to our invitation, thirty-eight people agreed to give a talk within the cluster, which enabled us to organize thirteen sessions in total. We think that it was one of the largest and most exciting clusters in the symposium. Thanks to the earnest support by the speakers and the chairpersons, the sessions attracted much attention of the participants and were filled with great enthusiasm of the audience.

Piecewise-smooth Dynamical Systems

Автор: Mario Bernardo; Chris Budd; Alan Richard Champneys
Название: Piecewise-smooth Dynamical Systems
ISBN: 184996548X ISBN-13(EAN): 9781849965484
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. The results are presented in an informal style, and illustrated with many examples. The book is aimed at a wide audience of applied mathematicians, engineers and scientists at the beginning postgraduate level.

Piecewise Linear Modeling and Analysis

Автор: Domine Leenaerts; Wim M.G. van Bokhoven
Название: Piecewise Linear Modeling and Analysis
ISBN: 144195046X ISBN-13(EAN): 9781441950468
Издательство: Springer
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Цена: 19589.00 р.
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Dynamics and Bifurcations of Non-Smooth Mechanical Systems

Автор: Remco I. Leine; Henk Nijmeijer
Название: Dynamics and Bifurcations of Non-Smooth Mechanical Systems
ISBN: 3642060293 ISBN-13(EAN): 9783642060298
Издательство: Springer
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Цена: 21655.00 р.
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Описание: This monograph combines the knowledge of both the field of nonlinear dynamics and non-smooth mechanics, presenting a framework for a class of non-smooth mechanical systems using techniques from both fields.

Continuous And Discontinuous Piecewise-smooth One-dimensional Maps: Invariant Sets And Bifurcation Structures

Автор: Gardini Laura, Avrutin Viktor, Sushko Iryna, Tramontana Fabio
Название: Continuous And Discontinuous Piecewise-smooth One-dimensional Maps: Invariant Sets And Bifurcation Structures
ISBN: 9814368822 ISBN-13(EAN): 9789814368827
Издательство: World Scientific Publishing
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Цена: 34056.00 р.
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Описание: Focuses on both continuous and discontinuous one-dimensional piecewise-linear maps and summarizes the results related to bifurcation structures in regular and robust chaotic domains.

Piecewise Affine Control: Continuous-Time, Sampled-Data, and Networked Systems

Автор: Luis Rodrigues, Behzad Samadi, Miad Moarref
Название: Piecewise Affine Control: Continuous-Time, Sampled-Data, and Networked Systems
ISBN: 1611975891 ISBN-13(EAN): 9781611975895
Издательство: Mare Nostrum (Eurospan)
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Цена: 11537.00 р.
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Описание: Engineering systems operate through actuators, most of which will exhibit phenomena such as saturation or zones of no operation, commonly known as dead zones. These are examples of piecewise-affine characteristics, and they can have a considerable impact on the stability and performance of engineering systems. This book targets controller design for piecewise affine systems, fulfilling both stability and performance requirements.The authors present a unified computational methodology for the analysis and synthesis of piecewise affine controllers, taking an approach that is capable of handling sliding modes, sampled-data, and networked systems. They introduce algorithms that will be applicable to nonlinear systems approximated by piecewise affine systems, and they feature several examples from areas such as switching electronic circuits, autonomous vehicles, neural networks, and aerospace applications.Piecewise Affine Control: Continuous-Time, Sampled-Data, and Networked Systems is intended for graduate students, advanced senior undergraduate students, and researchers in academia and industry. It is also appropriate for engineers working on applications where switched linear and affine models are important.

Numerical Methods for Simulation and Optimization of Piecewise Deterministic Markov Processes - Application to Reliability

Автор: de Saporta
Название: Numerical Methods for Simulation and Optimization of Piecewise Deterministic Markov Processes - Application to Reliability
ISBN: 1848218397 ISBN-13(EAN): 9781848218390
Издательство: Wiley
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Цена: 22010.00 р.
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Описание:

Mark H.A. Davis introduced the Piecewise-Deterministic Markov Process (PDMP) class of stochastic hybrid models in an article in 1984. Today it is used to model a variety of complex systems in the fields of engineering, economics, management sciences, biology, Internet traffic, networks and many more. Yet, despite this, there is very little in the way of literature devoted to the development of numerical methods for PDMDs to solve problems of practical importance, or the computational control of PDMPs.

This book therefore presents a collection of mathematical tools that have been recently developed to tackle such problems. It begins by doing so through examples in several application domains such as reliability. The second part is devoted to the study and simulation of expectations of functionals of PDMPs. Finally, the third part introduces the development of numerical techniques for optimal control problems such as stopping and impulse control problems.

Measure Theory in Non-Smooth Spaces

Автор: Nicola Gigli
Название: Measure Theory in Non-Smooth Spaces
ISBN: 3110550822 ISBN-13(EAN): 9783110550825
Издательство: Walter de Gruyter
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Цена: 18586.00 р.
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Описание: Analysis in singular spaces is becoming an increasingly important area of research, with motivation coming from the calculus of variations, PDEs, geometric analysis, metric geometry and probability theory, just to mention a few areas. In all these fields, the role of measure theory is crucial and an appropriate understanding of the interaction between the relevant measure-theoretic framework and the objects under investigation is important to a successful research.The aim of this book, which gathers contributions from leading specialists with different backgrounds, is that of creating a collection of various aspects of measure theory occurring in recent research with the hope of increasing interactions between different fields. List of contributors: Luigi Ambrosio, Vladimir I. Bogachev, Fabio Cavalletti, Guido De Philippis, Shouhei Honda, Tom Leinster, Christian Leonard, Andrea Marchese, Mark W. Meckes, Filip Rindler, Nageswari Shanmugalingam, Takashi Shioya, and Christina Sormani.

Bifurcations In Piecewise-Smooth Continuous Systems

Автор: Simpson David John Warwick
Название: Bifurcations In Piecewise-Smooth Continuous Systems
ISBN: 9814293849 ISBN-13(EAN): 9789814293846
Издательство: World Scientific Publishing
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Цена: 15998.00 р.
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Описание: Real-world systems that involve some non-smooth change are often well-modeled by piecewise-smooth systems. This title presents the results regarding bifurcations of piecewise-smooth, continuous, autonomous systems of ordinary differential equations and maps. It reveals various codimension-two, discontinuity induced bifurcations.

Piecewise Deterministic Processes in Biological Models

Автор: Ryszard Rudnicki; Marta Tyran-Kami?ska
Название: Piecewise Deterministic Processes in Biological Models
ISBN: 331961293X ISBN-13(EAN): 9783319612935
Издательство: Springer
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Цена: 7685.00 р.
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Описание: This book presents a concise introduction to piecewise deterministic Markov processes (PDMPs), with particular emphasis on their applications to biological models.

Piecewise Constant Orthogonal Functions and Their Application to Systems and Control

Автор: Ganti P. Rao
Название: Piecewise Constant Orthogonal Functions and Their Application to Systems and Control
ISBN: 3540125566 ISBN-13(EAN): 9783540125563
Издательство: Springer
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Цена: 12157.00 р.
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Smooth Ergodic Theory of Random Dynamical Systems

Автор: Pei-Dong Liu; Min Qian
Название: Smooth Ergodic Theory of Random Dynamical Systems
ISBN: 3540600043 ISBN-13(EAN): 9783540600046
Издательство: Springer
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Цена: 6288.00 р.
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Описание: This text studies ergodic-theoretic aspects of random dynamical systems, for example, deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of such systems.


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