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System Dynamics With Interaction Discontinuity
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Book Synopsis System Dynamics with Interaction Discontinuity by : Albert C. J. Luo
Download or read book System Dynamics with Interaction Discontinuity written by Albert C. J. Luo and published by Springer. This book was released on 2015-07-08 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes system dynamics with discontinuity caused by system interactions and presents the theory of flow singularity and switchability at the boundary in discontinuous dynamical systems. Based on such a theory, the authors address dynamics and motion mechanism of engineering discontinuous systems due to interaction. Stability and bifurcations of fixed points in nonlinear discrete dynamical systems are presented, and mapping dynamics are developed for analytical predictions of periodic motions in engineering discontinuous dynamical systems. Ultimately, the book provides an alternative way to discuss the periodic and chaotic behaviors in discontinuous dynamical systems.
Book Synopsis Discontinuous Dynamical Systems by : Albert C. J. Luo
Download or read book Discontinuous Dynamical Systems written by Albert C. J. Luo and published by Springer Science & Business Media. This book was released on 2012-04-07 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Discontinuous Dynamical Systems” presents a theory of dynamics and flow switchability in discontinuous dynamical systems, which can be as the mathematical foundation for a new dynamics of dynamical system networks. The book includes a theory for flow barriers and passability to boundaries in discontinuous dynamical systems that will completely change traditional concepts and ideas in the field of dynamical systems. Edge dynamics and switching complexity of flows in discontinuous dynamical systems are explored in the book and provide the mathematical basis for developing the attractive network channels in dynamical systems. The theory of bouncing flows to boundaries, edges and vertexes in discontinuous dynamical systems with multi-valued vector fields is described in the book as a “billiard” theory of dynamical system networks. The theory of dynamical system interactions in discontinued dynamical systems can be used as a general principle in dynamical system networks, which is applied to dynamical system synchronization. The book represents a valuable reference work for university professors and researchers in applied mathematics, physics, mechanics, and control. Dr. Albert C.J. Luo is an internationally respected professor in nonlinear dynamics and mechanics, and he works at Southern Illinois University Edwardsville, USA.
Book Synopsis Discontinuous Dynamics and System Synchronization by : Fuhong Min
Download or read book Discontinuous Dynamics and System Synchronization written by Fuhong Min and published by Springer Nature. This book was released on with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Discontinuous Dynamical Systems on Time-varying Domains by : Albert C. J. Luo
Download or read book Discontinuous Dynamical Systems on Time-varying Domains written by Albert C. J. Luo and published by Springer Science & Business Media. This book was released on 2009-11-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Discontinuous Dynamical Systems on Time-varying Domains" is the first monograph focusing on this topic. While in the classic theory of dynamical systems the focus is on dynamical systems on time-invariant domains, this book presents discontinuous dynamical systems on time-varying domains where the corresponding switchability of a flow to the time-varying boundary in discontinuous dynamical systems is discussed. From such a theory, principles of dynamical system interactions without any physical connections are presented. Several discontinuous systems on time-varying domains are analyzed in detail to show how to apply the theory to practical problems. The book can serve as a reference book for researchers, advanced undergraduate and graduate students in mathematics, physics and mechanics. Dr. Albert C. J. Luo is a professor at Southern Illinois University Edwardsville, USA. His research is involved in the nonlinear theory of dynamical systems. His main contributions are in the following aspects: a stochastic and resonant layer theory in nonlinear Hamiltonian systems, singularity on discontinuous dynamical systems, and approximate nonlinear theories for a deformable-body.
Book Synopsis Applied Nonlinear Dynamics And Chaos Of Mechanical Systems With Discontinuities by : Bram De Kraker
Download or read book Applied Nonlinear Dynamics And Chaos Of Mechanical Systems With Discontinuities written by Bram De Kraker and published by World Scientific. This book was released on 2000-04-28 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rapid developments in nonlinear dynamics and chaos theory have led to publication of many valuable monographs and books. However, most of these texts are devoted to the classical nonlinear dynamics systems, for example the Duffing or van der Pol oscillators, and either neglect or refer only briefly to systems with motion-dependent discontinuities. In engineering practice a good part of problems is discontinuous in nature, due to either deliberate reasons such as the introduction of working clearance, and/or the finite accuracy of the manufacturing processes.The main objective of this volume is to provide a general methodology for describing, solving and analysing discontinuous systems. It is compiled from the dedicated contributions written by experts in the field of applied nonlinear dynamics and chaos.The main focus is on mechanical engineering problems where clearances, piecewise stiffness, intermittent contact, variable friction or other forms of discontinuity occur. Practical applications include vibration absorbers, percussive drilling of hard materials and dynamics of metal cutting.
Book Synopsis Systems of Quasilinear Equations and Their Applications to Gas Dynamics by : Boris Leonidovich Rozhdestvenski_
Download or read book Systems of Quasilinear Equations and Their Applications to Gas Dynamics written by Boris Leonidovich Rozhdestvenski_ and published by American Mathematical Soc.. This book was released on 1983-12-31 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is essentially a new edition, revised and augmented by results of the last decade, of the work of the same title published in 1968 by ``Nauka.'' It is devoted to mathematical questions of gas dynamics. Topics covered include Foundations of the Theory of Systems of Quasilinear Equations of Hyperbolic Type in Two Independent Variables; Classical and Generalized Solutions of One-Dimensional Gas Dynamics; Difference Methods for Solving the Equations of Gas Dynamics; and Generalized Solutions of Systems of Quasilinear Equations of Hyperbolic Type.
Book Synopsis An Introduction to Hybrid Dynamical Systems by : Arjan J. van der Schaft
Download or read book An Introduction to Hybrid Dynamical Systems written by Arjan J. van der Schaft and published by Springer. This book was released on 2007-10-03 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about dynamical systems that are "hybrid" in the sense that they contain both continuous and discrete state variables. Recently there has been increased research interest in the study of the interaction between discrete and continuous dynamics. The present volume provides a first attempt in book form to bring together concepts and methods dealing with hybrid systems from various areas, and to look at these from a unified perspective. The authors have chosen a mode of exposition that is largely based on illustrative examples rather than on the abstract theorem-proof format because the systematic study of hybrid systems is still in its infancy. The examples are taken from many different application areas, ranging from power converters to communication protocols and from chaos to mathematical finance. Subjects covered include the following: definition of hybrid systems; description formats; existence and uniqueness of solutions; special subclasses (variable-structure systems, complementarity systems); reachability and verification; stability and stabilizability; control design methods. The book will be of interest to scientists from a wide range of disciplines including: computer science, control theory, dynamical system theory, systems modeling and simulation, and operations research.
Book Synopsis Oscillators and Oscillatory Signals from Smooth to Discontinuous by : Valery N. Pilipchuk
Download or read book Oscillators and Oscillatory Signals from Smooth to Discontinuous written by Valery N. Pilipchuk and published by Springer Nature. This book was released on 2023-09-23 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated and enriched new edition maintains its complementarity principle in which the subgroup of rotations, harmonic oscillators, and the conventional complex analysis generate linear and weakly nonlinear approaches, whereas translations and reflections, impact oscillators, and hyperbolic Clifford’s algebras, give rise to the essentially nonlinear “quasi-impact” methodology based on the idea of non-smooth temporal substitutions. In the years since “Nonlinear Dynamics: Between Linear and Impact Limits,” the previous edition of this book, was published, due to a widening area of applications, a deeper insight into the matter has emerged leading to the rudimentary algebraic view on the very existence of the complementary smooth and non-smooth base systems as those associated with two different signs of the algebraic equation j2 =± 1. This edition further includes an overview of applications found in the literature after the publication of first edition, and new physical examples illustrating both theoretical statements and constructive analytical tools.
Book Synopsis Interactive Dynamic-System Simulation by : Granino Arthur Korn
Download or read book Interactive Dynamic-System Simulation written by Granino Arthur Korn and published by CRC Press. This book was released on 1998-10-28 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hands-on tutorial, covering interactive simulation of dynamical systems such as aerospace vehicles, power plants, chemical processes, control systems, and physiological systems. In practice, simulation experiments are employed for iterative decision-making, whereby programs are run, modified, and run again and again. It is very important to emphasize interactive simulation programming. To this end, the user-friendly Microsoft Windows 95 interface is combined with the DESIRE (Direct Executing Simulation) language. The first chapter introduces dynamical system models and the principles of differential-equation-solving problems. The following chapters provide a tutorial on effective simulation programming, with examples from physics, aerospace, engineering, population dynamics, and physiology. The remaining chapters provide more detailed programming know-how.
Book Synopsis Foundations of Molecular Modeling and Simulation by : Randall Q Snurr
Download or read book Foundations of Molecular Modeling and Simulation written by Randall Q Snurr and published by Springer. This book was released on 2016-06-01 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of select proceedings of the FOMMS 2015 conference. FOMMS 2015 was the sixth triennial FOMMS conference showcasing applications of theory of computational quantum chemistry, molecular science, and engineering simulation. The theme of the 2015 meeting was on Molecular Modeling and the Materials Genome. This volume comprises chapters on many distinct applications of molecular modeling techniques. The content will be useful to researchers and students alike.
Book Synopsis Vibration of Strongly Nonlinear Discontinuous Systems by : V.I. Babitsky
Download or read book Vibration of Strongly Nonlinear Discontinuous Systems written by V.I. Babitsky and published by Springer Science & Business Media. This book was released on 2012-11-02 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph addresses the systematic representation of the methods of analysis developed by the authors as applied to such systems. Particular features of dynamic processes in such systems are studied. Special attention is given to an analysis of different resonant phenomena taking unusual and diverse forms.
Book Synopsis Piecewise-smooth Dynamical Systems by : Mario Bernardo
Download or read book Piecewise-smooth Dynamical Systems written by Mario Bernardo and published by Springer Science & Business Media. This book was released on 2008-01-01 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis European Symposium on Computer Aided Process Engineering - 10 by : Sauro Pierucci
Download or read book European Symposium on Computer Aided Process Engineering - 10 written by Sauro Pierucci and published by Elsevier. This book was released on 2000-05-10 with total page 1207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes papers presented at ESCAPE-10, the 10th European Symposium on Computer Aided Process -Engineering, held in Florence, Italy, 7-10th May, 2000. The scientific program reflected two complementary strategic objectives of the 'Computer Aided Process Engineering' (CAPE) Working Party: one checked the status of historically consolidated topics by means of their industrial application and their emerging issues, while the other was addressed to opening new windows to the CAPE audience by inviting adjacent Working Parties to co-operate in the creation of the technical program.The former CAPE strategic objective was covered by the topics: Numerical Methods, Process Design and Synthesis, Dynamics & Control, Process Modeling, Simulation and Optimization.The latter CAPE strategic objective derived from the European Federation of Chemical Engineering (EFCE) promotion of scientific activities which autonomously and transversely work across the Working Parties' terms of references. These activities enhance the exchange of the know-how and knowledge acquired by different Working Parties in homologous fields. They also aim to discover complementary facets useful to the dissemination of tools and of novel procedures.As a consequence, the Working Parties 'Environmental Protection', 'Loss Prevention and Safety Promotion' and 'Multiphase Fluid Flow' were invited to assist in the organization of sessions in the area of: A Process Integrated Approach for: Environmental Benefit, Loss Prevention and Safety, Computational Fluid Dynamics. A total of 473 abstracts from all over the world were evaluated by the International Scientific Committee. Out of them 197 have been finally selected for the presentation and reported into this book. Their authors come from thirty different countries. The selection of the papers was carried out by twenty-eight international reviewers. These proceedings will be a major reference document to the scientific and industrial community and will contribute to the progress in Computer Aided Process Engineering.
Book Synopsis Acoustic Interactions with Submerged Elastic Structures by : Ardshir Guran
Download or read book Acoustic Interactions with Submerged Elastic Structures written by Ardshir Guran and published by World Scientific. This book was released on 2001 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: "\berall's work in acoustic and electromagnetic scattering has evoked much interest, in the US as well as abroad, because of its possible practical applications, as well as the theoretical understanding. Many collaborators have been inspired by it, and have now contributed to this volume. The book is an excellent contribution to the literature of Acoustics and Wave Propagation. Professor Guran is to be congratulated for organizing and editing this volume." Prof. Hans A Bethe Noble Laureate Cornell University, 1996
Book Synopsis Modelling and Analysis of Hybrid Supervisory Systems by : Emilia Villani
Download or read book Modelling and Analysis of Hybrid Supervisory Systems written by Emilia Villani and published by Springer Science & Business Media. This book was released on 2007-05-18 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a formalism for modeling complex and large-scale systems that merges Petri nets, differential equation systems, and object-oriented methods. It describes a method that starts from the requirements of a supervisory system and results in a proposal for such a system. The book also presents a validation procedure that allows verification of the formal properties of the hybrid model.
Book Synopsis Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics by : Sébastien Ferenczi
Download or read book Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics written by Sébastien Ferenczi and published by Springer. This book was released on 2018-06-15 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics. The greater part begins with a course in analytic number theory and focuses on its links with ergodic theory, presenting an exhaustive account of recent research on Sarnak's conjecture on Möbius disjointness. Selected topics involving more traditional connections between number theory and dynamics are also presented, including equidistribution, homogenous dynamics, and Lagrange and Markov spectra. In addition, some dynamical and number theoretical aspects of aperiodic order, some algebraic systems, and a recent development concerning tame systems are described.
Book Synopsis From Catastrophe to Chaos: A General Theory of Economic Discontinuities by : J. Barkley Rosser
Download or read book From Catastrophe to Chaos: A General Theory of Economic Discontinuities written by J. Barkley Rosser and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Catastrophe to Chaos: A General Theory of Economic Discontinuities presents and unusual perspective on economics and economic analysis. Current economic theory largely depends upon assuming that the world is fundamentally continuous. However, an increasing amount of economic research has been done using approaches that allow for discontinuities such as catastrophe theory, chaos theory, synergetics, and fractal geometry. The spread of such approaches across a variety of disciplines of thought has constituted a virtual intellectual revolution in recent years. This book reviews the applications of these approaches in various subdisciplines of economics and draws upon past economic thinkers to develop an integrated view of economics as a whole from the perspective of inherent discontinuity.
