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Introduction to Applied Nonlinear Dynamical Systems and Chaos
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by
Stephen Wiggins, A Heck, Stephen Wiggens
This volume is intended for advanced undergraduate or first-year graduate students as an introduction to applied nonlinear dynamics and chaos. The author has placed emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about the behavior of these systems. ...
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An Experimental Approach to Nonlinear Dynamics and Chaos
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by
Nicholas B Tufillaro, Tyler Abbott, Jeremiah P Reilly
This essential handbook provides the theoretical and experimental tools necessary to begin researching the nonlinear behavior of mechanical, electrical, optical, and other systems. The book describes several nonlinear systems which are realized by desktop experiments, such as an apparatus showing chaotic string vibrations, an LRC circuit ...
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Convex Analysis and Nonlinear Optimization: Theory and Examples
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Jonathan Borwein, Adrian S Lewis
Optimization is a rich and thriving mathematical discipline. The theory underlying current computational optimization techniques grows ever more sophisticated. The powerful and elegant language of convex analysis unifies much of this theory. The aim of this book is to provide a concise, accessible account of convex analysis and its applications ...
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Nonlinear Systems
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by
Hassan K Khalil
Adopting an intuitive, yet rigorous approach, this work provides extensive coverage of nonlinear systems and control theory. Student-friendly language, an abundance of detailed, worked examples, and progressively more sophisticated mathematics make the text appropriate and accessible to a range of student interests and levels. This edition extends ...
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Thinking in Complexity: The Complex Dynamics of Matter, Mind, and Mankind
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by
Klaus Mainzer
The theory of nonlinear complex system has become a successful and widely used problem solving approach in the natural sciences - from laser physics, quantum chaos and meteorology to molecular modeling in chemistry and computer simulations of cell growth in biology. In recent times it has been recognized that many of the social, ecological and ...
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Nonlinear Problems in Random Theory
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by
Norbert Wiener
A series of lectures on the role of nonlinear processes in physics, mathematics, electrical engineering, physiology, and communication theory.
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Benard Cells and Taylor Vortices
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by
E L Koschmieder, G K Batchelor (Editor), L B Freud (Editor)
This book describes the research done on the problems of Benard convection, as well as its modern offspring the Rayleigh-Benard problem, and Taylor vortices. Benard convection differs from Rayleigh-Benard convection by the presence of surface tension, whilst Benard convection is characterized by parallel rolls. Toroidal vortices characterize ...
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Estimation Problems in Hybrid Systems
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David D Sworder, John E Boyd
Recent developments in sensor and processor sophistication have created a need for effective estimation and control algorithms for hybrid, nonlinear systems. This book presents an effective, flexible family of estimation algorithms that can be used in estimating or controlling a variety of nonlinear plants. Several applications are studied, ...
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Thinking in Complexity: The Computational Dynamics of Matter, Mind, and Mankind
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by
Klaus Mainzer
The theory of nonlinear, complex systems has become by now a proven problem-solving approach in the natural sciences. And it is now also recognized that many if not most of our social, ecological, economical and political problems are essentially of a global, complex and nonlinear nature. And it is now further accepted than any holistic ...
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Nonlinearity, Chaos, and Complexity: The Dynamics of Natural and Social Systems
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by
Cristoforo Bertuglia, Franco Vaio
Covering a broad range of topics, this text provides a comprehensive survey of the modelling of chaotic dynamics and complexity in the natural and social sciences. Its attention to models in both the physical and social sciences and the detailed philosophical approach make this an unique text in the midst of many current books on chaos and ...
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Perspectives of Nonlinear Dynamics: Volume 1
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by
E Atlee Jackson
The dynamics of physical, chemical, biological, or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. In this book the perspectives generated by analytical, ...
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From Cardinals to Chaos
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by
N G Cooper
This explorative insight into the life and legacy of the famous Polish mathematician reveals his background and focuses on current research inspired by Stanislaw's vision. The text includes two pieces written by Stanislaw and personal conversations on John von Newmann and Paul Erdos.
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Managing Emergent Phenomena: Nonlinear Dynamics in Work Organizations
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Stephen J Guastello
This work covers topics such as dynamical theory of creativity, social networks, and the emergence of leadership.
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Autoparametric Resonance in Mechanical Systems
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Ales Tondl, M Ruijgrok, Thijs Ruijgrok
When a mechanical system has two or more coupled vibrating components, the vibration of one of the components may destabilize the motion of the others. This destabilization effect, autoparametric resonance, is a concept that has important engineering applications. This book is the first completely devoted to the subject of autoparametric resonance ...
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Fundamentals of Nonlinear Digital Filtering
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by
Pauli Kuosmanen, Jaakko T Astola
"Fundamentals of Nonlinear Digital Filtering" is the first book of its kind, presenting and evaluating current methods and applications in nonlinear digital filtering. Written for professors, researchers, and application engineers, as well as for serious students of signal processing, this is the only book available that functions as both a ...
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Nonlinear Dynamics of Chaotic and Stochastic Systems: Tutorial and Modern Developments
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Vadim S Anishchenko, Vladimir Astakhov, Alexander Neiman
This book is a complete treatise on the theory of nonlinear dynamics of chaotic and stochastic systems. It contains both an exhaustive introduction to the subject as well as a detailed discussion of fundamental problems and research results in a field to which the authors have made important contributions themselves. Despite the unified ...
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Nonlinear mathematics
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by
Thomas L Saaty, Joseph Bram (Photographer)
This text examines linear and nonlinear transformations; nonlinear algebraic and transcendental equations; nonlinear optimization; nonlinear programming and systems of inequalities; nonlinear ordinary differential euqations and much more. Exercises included. 1964 edition.
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Singularities and Oscillations
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Jeffrey Rauch (Editor), Michael Taylor (Editor)
The study of singularities and oscillations of waves has progressed along several fronts. A key common feature is the presence of a small scale in the solutions. Recent emphasis has been on nonlinear waves. Nonlinear problems are generally less amenable than linear problems to broad unified approaches. As a result there is a justifiable tendency ...
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Nonlinear Mathematics and Its Applications: Proceedings of the Epsrc Postgraduate Spring School in Applied Nonlinear Mathematics, University of Surrey, 1995
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Philip J Aston (Editor)
At the University of Surrey in 1995 an EPSRC Spring School was held in Applied Nonlinear Mathematics for postgraduate students in mathematics, engineering, physics or biology; this volume contains the bulk of the lectures given there, by a team of internationally distinguished scientists. The aim of the school was to introduce students to current ...
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Fitting Models to Biological Data Using Linear and Nonlinear Regression: A Practical Guide to Curve Fitting
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by
Harvey Motulsky, Arthur Christopoulos
Most biologists use nonlinear regression more than any other statistical technique, but there are very few places to learn about curve-fitting. This book, by the author of the very successful Intuitive Biostatistics, addresses this relatively focused need of an extraordinarily broad range of scientists. The book will likely be purchased by a high ...
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Chaotic Evolution and Strange Attractors
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by
David Ruelle
This book, based on lectures given at the Accademia dei Lincei, is an accessible and leisurely account of systems that display a chaotic time evolution. This behaviour, though deterministic, has features more characteristic of stochastic systems. The analysis here is based on a statistical technique known as time series analysis and so avoids ...
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Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies
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by
Leonid M Zubov
The author applies methods of nonlinear elasticity to investigate the defects in the crystal structure of solids such as dislocations and disclinations that characterize the plastic and strength properties of many materials. Contrary to the geometrically motivated nonlinear theory of dislocations continuously distributed over the body, nonlinear ...
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Laws of Chaos
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by
Abraham Boyarsky (Editor), Pawel Gora (Editor)
This work combines several important areas of mathematics - dynamical systems, measure theory and ergodic theory - and gives a thorough treatment of one-dimensional chaotic systems. It includes many examples and applications, and provides problem sets with solutions.
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Thermodynamics of Chaotic Systems: An Introduction
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by
Christian Beck
This title deals with the various thermodynamic concepts used for the analysis of nonlinear dynamical systems. Among the subjects treated are probabilistic aspects of chaotic dynamics, the symbolic dynamics technique, information measures, the maximum entropy principle, general thermodynamic relations, and spin systems.
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Algebraic Methods in Nonlinear Perturbation Theory
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by
V N Bogaevskii, A Povzner
This book will be of interest for everybody working on perturbation theory in differential equations. The book requires only a standard mathematical background for engineers and does not require reference to the special literature. Topics, which are covered, include: matrix perturbation theory; systems of ordinary differential equations with small ...
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