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Qualitative Analysis Of Nonsmooth Dynamics

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Qualitative Analysis of Nonsmooth Dynamics

Qualitative Analysis of Nonsmooth Dynamics Book
Author : Alain Léger,Elaine Pratt
Publisher : Elsevier
Release : 2016-04-26
ISBN : 0081012012
Language : En, Es, Fr & De

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Book Description :

Qualitative Analysis of Nonsmooth Dynamics: A Simple Discrete System with Unilateral Contact and Coulomb Friction explores the effects of small and large deformations to understand how shocks, sliding, and stick phases affect the trajectories of mechanical systems. By analyzing these non-regularities successively this work explores the set of equilibria and properties of periodic solutions of elementary mechanical systems, where no classical results issued from the theory of ordinary differential equations are readily available, such as stability, continuation or approximation of solutions. The authors focus on unilateral contact in presence of Coulomb friction and show, in particular, how any regularization would greatly simplify the mathematics but lead to unacceptable physical responses. Explores the effects of small and large deformations to understand how shocks, sliding, and stick phases affect the trajectories of mechanical systems Includes theoretical results concerning the full investigation of the behavior under constant or oscillating loadings, even in the case of the simplest mechanical systems Provides a focus on unilateral contact in presence of Coulomb friction Helps you gain an accurate understanding of how the transition occurs to ensure the safe use of any machine involving rotating or sliding mechanisms

Advanced Topics in Nonsmooth Dynamics

Advanced Topics in Nonsmooth Dynamics Book
Author : Remco Leine,Vincent Acary,Olivier Brüls
Publisher : Springer
Release : 2018-06-07
ISBN : 3319759728
Language : En, Es, Fr & De

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Book Description :

This book discusses emerging topics in the area of nonsmooth dynamics research, such as numerical methods for nonsmooth systems, impact laws for multi-collisions, nonlinear vibrations and control of nonsmooth systems. It documents original work of researchers at the European Network for NonSmooth Dynamics (ENNSD), which provides a cooperation platform for researchers in the field and promotes research focused on nonsmooth dynamics and its applications. Since the establishment of the network in 2012, six ENNSD symposia have been organized at different European locations. The network brings together 40 specialists from 9 different countries in and outside Europe and a wealth of scientific knowledge has been gathered and developed by this group of experts in recent years. The book is of interest to both new and experienced researchers in the field of nonsmooth dynamics. Each chapter is written in such a way as to provide an introduction to the topic for researchers from other fields.

Ergodic Theory Analysis and Efficient Simulation of Dynamical Systems

Ergodic Theory  Analysis  and Efficient Simulation of Dynamical Systems Book
Author : Bernold Fiedler
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 3642565891
Language : En, Es, Fr & De

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Book Description :

Presenting very recent results in a major research area, this book is addressed to experts and non-experts in the mathematical community alike. The applied issues range from crystallization and dendrite growth to quantum chaos, conveying their significance far into the neighboring disciplines of science.

Singularity and Dynamics on Discontinuous Vector Fields

Singularity and Dynamics on Discontinuous Vector Fields Book
Author : Albert C.J. Luo
Publisher : Elsevier
Release : 2006-07-07
ISBN : 9780080480930
Language : En, Es, Fr & De

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Book Description :

This book discussed fundamental problems in dynamics, which extensively exist in engineering, natural and social sciences. The book presented a basic theory for the interactions among many dynamical systems and for a system whose motions are constrained naturally or artificially. The methodology and techniques presented in this book are applicable to discontinuous dynamical systems in physics, engineering and control. In addition, they may provide useful tools to solve non-traditional dynamics in biology, stock market and internet network et al, which cannot be easily solved by the traditional Newton mechanics. The new ideas and concepts will stimulate ones’ thought and creativities in corresponding subjects. The author also used the simple, mathematical language to write this book. Therefore, this book is very readable, which can be either a textbook for senior undergraduate and graduate students or a reference book for researches in dynamics. Challenging continuous Newton's dynamics Original theory and seeds of new researches in the field Wide spectrum of applications in science and engineering Systematic presentation and clear illustrations

Modeling with Nonsmooth Dynamics

Modeling with Nonsmooth Dynamics Book
Author : Mike R. Jeffrey
Publisher : Springer Nature
Release : 2020-02-22
ISBN : 3030359875
Language : En, Es, Fr & De

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Book Description :

This volume looks at the study of dynamical systems with discontinuities. Discontinuities arise when systems are subject to switches, decisions, or other abrupt changes in their underlying properties that require a ‘non-smooth’ definition. A review of current ideas and introduction to key methods is given, with a view to opening discussion of a major open problem in our fundamental understanding of what nonsmooth models are. What does a nonsmooth model represent: an approximation, a toy model, a sophisticated qualitative capturing of empirical law, or a mere abstraction? Tackling this question means confronting rarely discussed indeterminacies and ambiguities in how we define, simulate, and solve nonsmooth models. The author illustrates these with simple examples based on genetic regulation and investment games, and proposes precise mathematical tools to tackle them. The volume is aimed at students and researchers who have some experience of dynamical systems, whether as a modelling tool or studying theoretically. Pointing to a range of theoretical and applied literature, the author introduces the key ideas needed to tackle nonsmooth models, but also shows the gaps in understanding that all researchers should be bearing in mind. Mike Jeffrey is a researcher and lecturer at the University of Bristol with a background in mathematical physics, specializing in dynamics, singularities, and asymptotics.

Reviews in Global Analysis 1980 86 as Printed in Mathematical Reviews

Reviews in Global Analysis  1980 86 as Printed in Mathematical Reviews Book
Author : Anonim
Publisher : Unknown
Release : 1988
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Reviews in Global Analysis 1980 86 as Printed in Mathematical Reviews book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Proceedings

Proceedings Book
Author : Anonim
Publisher : Unknown
Release : 2009
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Proceedings book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Neural Networks and Qualitative Physics

Neural Networks and Qualitative Physics Book
Author : Jean-Pierre Aubin
Publisher : Cambridge University Press
Release : 1996-03-29
ISBN : 9780521445320
Language : En, Es, Fr & De

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Book Description :

Artificial intelligence covering neural networks, cognitive systems, qualitative physics.

Mathematical Reviews

Mathematical Reviews Book
Author : Anonim
Publisher : Unknown
Release : 2005
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Piecewise smooth Dynamical Systems

Piecewise smooth Dynamical Systems Book
Author : Mario Bernardo,Chris Budd,Alan Richard Champneys,Piotr Kowalczyk
Publisher : Springer Science & Business Media
Release : 2008-01-01
ISBN : 9781846287084
Language : En, Es, Fr & De

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Book Description :

This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction expounds the ubiquity of such models via numerous. 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. Almost no mathematical background is assumed other than basic calculus and algebra.

Applied Non Linear Dynamical Systems

Applied Non Linear Dynamical Systems Book
Author : Jan Awrejcewicz
Publisher : Springer
Release : 2014-10-21
ISBN : 3319082663
Language : En, Es, Fr & De

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Book Description :

The book is a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the International Conference on Dynamical Systems: Theory and Applications, held in Łódź, Poland on December 2-5, 2013. The studies give deep insight into both the theory and applications of non-linear dynamical systems, emphasizing directions for future research. Topics covered include: constrained motion of mechanical systems and tracking control; diversities in the inverse dynamics; singularly perturbed ODEs with periodic coefficients; asymptotic solutions to the problem of vortex structure around a cylinder; investigation of the regular and chaotic dynamics; rare phenomena and chaos in power converters; non-holonomic constraints in wheeled robots; exotic bifurcations in non-smooth systems; micro-chaos; energy exchange of coupled oscillators; HIV dynamics; homogenous transformations with applications to off-shore slender structures; novel approaches to a qualitative study of a dissipative system; chaos of postural sway in humans; oscillators with fractional derivatives; controlling chaos via bifurcation diagrams; theories relating to optical choppers with rotating wheels; dynamics in expert systems; shooting methods for non-standard boundary value problems; automatic sleep scoring governed by delay differential equations; isochronous oscillations; the aerodynamics pendulum and its limit cycles; constrained N-body problems; nano-fractal oscillators and dynamically-coupled dry friction.

Nonsmooth Modeling and Simulation for Switched Circuits

Nonsmooth Modeling and Simulation for Switched Circuits Book
Author : Vincent Acary,Olivier Bonnefon,Bernard Brogliato
Publisher : Springer Science & Business Media
Release : 2010-10-19
ISBN : 9789048196814
Language : En, Es, Fr & De

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Book Description :

Nonsmooth Modeling and Simulation for Switched Circuits concerns the modeling and the numerical simulation of switched circuits with the nonsmooth dynamical systems (NSDS) approach, using piecewise-linear and multivalued models of electronic devices like diodes, transistors, switches. Numerous examples (ranging from introductory academic circuits to various types of power converters) are analyzed and many simulation results obtained with the INRIA open-source SICONOS software package are presented. Comparisons with SPICE and hybrid methods demonstrate the power of the NSDS approach. Nonsmooth Modeling and Simulation for Switched Circuits is intended to researchers and engineers in the field of circuits simulation and design, but may also attract applied mathematicians interested by the numerical analysis for nonsmooth dynamical systems, as well as researchers from Systems and Control.

Dong bei shu xue

Dong bei shu xue Book
Author : Anonim
Publisher : Unknown
Release : 2001
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Dong bei shu xue book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Advances in Robust and Nonlinear Control Systems

Advances in Robust and Nonlinear Control Systems Book
Author : Anonim
Publisher : Unknown
Release : 1993
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Analysis of Piecewise Linear Dynamical Systems

Analysis of Piecewise Linear Dynamical Systems Book
Author : Njal Brian Opicho Lenzing Pettit
Publisher : Wiley-Blackwell
Release : 1995
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

The book arises out of a growing awareness of the need to study hybrid systems which mix continuous dynamic behaviour with discrete events. This is driven by the increasing occurrence of large complex systems coupled with a demand to improve reliability and performance of such systems. However, at present no tools exist to analyse and design these types of system other than simulation, prototyping and engineering experience. One important class of hybrid systems is that of piecewise linear dynamical systems, as these encompass systems with nonlinearities such as saturation and hysteresis together with controllers that use logic such as rule-based controllers, programmable logic controllers and gain scheduled controllers. This book presents an analysis technique for studying piecewise linear systems and extracting information such as global stability and the interaction of the system dynamics and controller logic.

Differential and Integral Equations

Differential and Integral Equations Book
Author : Anonim
Publisher : Unknown
Release : 2000
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Handbook of Systems Analysis Craft issues and procedural choices

Handbook of Systems Analysis  Craft issues and procedural choices Book
Author : Hugh J. Miser,Edward S. Quade
Publisher : Elsevier Science Limited
Release : 1985
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Handbook of Systems Analysis Craft issues and procedural choices book written by Hugh J. Miser,Edward S. Quade, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Discrete and Continuous Dynamical Systems

Discrete and Continuous Dynamical Systems Book
Author : Anonim
Publisher : Unknown
Release : 2009
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization

Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization Book
Author : Lars Grüne
Publisher : Springer
Release : 2004-10-20
ISBN : 3540367845
Language : En, Es, Fr & De

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Book Description :

This book provides an approach to the study of perturbation and discretization effects on the long-time behavior of dynamical and control systems. It analyzes the impact of time and space discretizations on asymptotically stable attracting sets, attractors, asumptotically controllable sets and their respective domains of attractions and reachable sets. Combining robust stability concepts from nonlinear control theory, techniques from optimal control and differential games and methods from nonsmooth analysis, both qualitative and quantitative results are obtained and new algorithms are developed, analyzed and illustrated by examples.

Dissertation Abstracts International

Dissertation Abstracts International Book
Author : Anonim
Publisher : Unknown
Release : 2008
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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