Dynamical Systems and Singular Phenomena
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Dynamical Systems and Singular Phenomena Proceedings of the Symposium (World Scientific Advanced Series in Dynamical Systems) by G. Ikegami

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Published by World Scientific Pub Co Inc .
Written in English


  • Applied mathematics,
  • Mathematical Physics,
  • Solid State Physics,
  • Science/Mathematics

Book details:

The Physical Object
Number of Pages254
ID Numbers
Open LibraryOL13212587M
ISBN 109971502313
ISBN 109789971502317

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The purpose of this symposium was to study singular phenomena in dynamical systems. There were a total of 19 lectures related to the following categories: dynamical systems, ergodic theory, theoretical physics and engineering sciences. Contents: Quantum Chaos (M Toda & S Adachi) Digital Control Systems with Chaotic Rounding Errors (T Ushio & C. A Practical Approach to Dynamical Systems for Engineers takes the abstract mathematical concepts behind dynamical systems and applies them to real-world systems, such as a car traveling down the road, the ripples caused by throwing a pebble into a pond, and a clock pendulum swinging back and forth. This book demonstrates how the dynamical systems perspective can explain such social psychological research phenomena as social relations, attitudes, social cognition, and interpersonal behavior. Readers will first become familiar with what a dynamical system is, how it operates, and the methodology for studying such a system.4/5(1). Dynamical Systems is a collection of papers that deals with the generic theory of dynamical systems, in which structural stability becomes associated with a generic property. Some papers describe structural stability in terms of mappings of one manifold into another, as well as their singularities.

Linear dynamical systems can be solved in terms of simple functions and the behavior of all orbits classified. In a linear system the phase space is the N-dimensional Euclidean space, so any point in phase space can be represented by a vector with N numbers. The analysis of linear systems is possible because they satisfy a superposition principle: if u(t) and w(t) satisfy the differential. Data-driven dynamical systems is a rapidly evolving field, and therefore, we focus on a mix of established and emerging methods that are driving current developments. In particular, we will focus on the key challenges of discovering dynamics from data and finding data-driven representations that make nonlinear systems amenable to linear analysis. "This well-written book presents an approach based on a series of articles of both authors. The main aim is a characterisation of typical sample paths for slow-fast systems. Presenting a detailed exposition of the setup and mathematical results, as well as a path to recent applied research, the book is aimed at a wide range of readers, from. The book is useful for courses in dynamical systems and chaos, nonlinear dynamics, etc., for advanced undergraduate and postgraduate students in mathematics, physics and engineering. Discover the.

"Even though there are many dynamical systems books on the market, this book is bound to become a classic. The theory is explained with attractive stories illustrating the theory of dynamical systems, such as the Newton method, the Feigenbaum renormalization picture, fractal geometry, the Perron-Frobenius mechanism, and Google PageRank."/5(9). ( views) Complex and Adaptive Dynamical Systems: A Primer by Claudius Gros - arXiv, This textbook covers a wide range of concepts, notions and phenomena of a truly interdisciplinary subject. Complex system theory deals with dynamical systems containing a very large number of variables, showing a plethora of emergent features. The gratest mathematical book I have ever read happen to be on the topic of discrete dynamical systems and this is A "First Course in Discrete Dynamical Systems" Holmgren. This books is so easy to read that it feels like very light and extremly interesting novel. Dynamical systems theory is an area of mathematics used to describe the behavior of the complex dynamical systems, usually by employing differential equations or difference differential equations are employed, the theory is called continuous dynamical a physical point of view, continuous dynamical systems is a generalization of classical mechanics, a generalization.