8 edition of Stability of Dynamical Systems (CBMS-NSF Regional Conference Series in Applied Mathematics) (CBMS-NSF Regional Conference Series in Applied Mathematics) found in the catalog.
January 1, 1987
by Society for Industrial Mathematics
Written in English
|The Physical Object|
|Number of Pages||82|
Dynamical systems Chapter 6. Dynamical systems § Dynamical systems § The ﬂow of an autonomous equation § Orbits and invariant sets § The Poincar´e map § Stability of ﬁxed points § Stability via Liapunov’s method § Newton’s equation in one dimension Chapter 7. Planar. This book focuses on some problems of stability theory of nonlinear large-scale systems. The purpose of this book is to describe some new applications of Lyapunov matrix-valued functions method to the stability of evolution problems governed by nonlinear continuous systems, discrete-time systems, impulsive systems and singularly perturbed systems under structural perturbations.
Dynamical Systems: Stability, Symbolic Dynamics, and Chaos (Studies in Advanced Mathematics) by Clark Robinson and a great selection of related books, art and collectibles available now at Replete with exercises and requiring basic knowledge of linear algebra, analysis, and differential equations, the work may be used as a textbook for graduate courses in stability theory of dynamical systems. The book may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics.
Purchase Stability of Dynamical Systems, Volume 5 - 1st Edition. Print Book & E-Book. ISBN , The first book on the subject, and written by leading researchers, this clear and rigorous work presents a comprehensive theory for both the stability boundary and the stability regions of a range of nonlinear dynamical systems including continuous, discrete, complex, two-time-scale and non-hyperbolic systems, illustrated with numerical by:
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The use of this book as a reference text in stability theory is facilitated by an extensive index In conclusion, Stability of Dynamical Systems: Continuous, Discontinuous, and Discrete Systems is a very interesting book, which complements the existing literature.
The book is clearly written, and difficult concepts are illustrated by means Cited by: In Chapter 2 we carry out the development of the analogous theory for autonomous ordinary differential equations (local dynamical systems).
Chapter 3 is a brief account of the theory for retarded functional differential equations (local semidynamical systems). The dynamical systems approach of the book concentrates on properties of the whole system or subsets of the system rather than individual solutions.
The more local theory discussed deals with characterizing types of solutions under various hypothesis, and 5/5(2). The book covers the following four general topics: * Representation and modeling of dynamical systems of the types described above * Presentation of Lyapunov and Lagrange stability theory for dynamical systems defined on general metric spaces * Specialization of this stability theory to finite-dimensional dynamical systems.
The book also contains numerous problems and suggestions for further study at the end of the main chapters.
book will provide an excellent source of materials for graduate students studying the stability theory of dynamical systems, and for self-study by researchers and practitioners interested in the systems theory of engineering, physics.
"The book presents a systematic treatment of the theory of dynamical systems and their stability written at the graduate and advanced undergraduate level. The book is well written and contains a number of examples and exercises." (Alexander Olegovich Ignatyev, Zentralblatt MATH, Vol.
(18), ). The application of this principle then gives a generalization of the classical Liapunov theory of stability and instability. Applications of invariance principles have gone beyond autonomous ordinary differential equations and are known for many types of general dynamical systems.
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. - Specialization of this stability theory to infinite-dimensional dynamical systems Replete with examples and requiring only a basic knowledge of linear algebra, analysis, and differential equations, this bookcan be used as a textbook for graduate courses in stability theory of dynamical systems.
Stability Theory of Dynamical Systems Article (PDF Available) in IEEE Transactions on Systems Man and Cybernetics 1(4) - November with 1, Reads How we measure 'reads'. This book covers important topics like stability, hyperbolicity, bifurcation theory and chaos, topics which are essential in order to understand the fascinating behavior of nonlinear discrete dynamical systems.
The theory is illuminated by several examples and exercises, many of them taken from population dynamical studies. And, "dynamical systems", even as done by physicists, includes more than chaos: e.g., bifurcation theory and even linear systems, but I think chaos is the most common research subject.
$\endgroup$ – stafusa Sep 3 '17 at Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms--algorithms that feature logic, timers, or.
In Chapter 2 we carry out the development of the analogous theory for autonomous ordinary differential equations (local dynamical systems).
Chapter 3 is a brief account of the theory for retarded functional differential equations (local semidynamical systems). Here the state space is infinite-dimensional and not locally compact.
To address these questions several notions of stability have been introduced in the study of dynamical systems, such as Lyapunov stability or structural stability.
The stability of the dynamical system implies that there is a class of models or initial. 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. The book is useful for courses in dynamical systems and chaos, nonlinear dynamics, etc., for advanced undergraduate and postgraduate students in.
2 Global Stability of Dynamical Systems the image of this intersection under fis contained infk(U) n U, which is thus nonempty. If f is a homeomorphism and x is in O(f), then for every neighborhood U of x, there is a positive k such that fk(U) n U # O. The f-k image of this. This book systematically presents a fundamental theory for the local analysis of bifurcation and stability of equilibriums in nonlinear dynamical systems.
Until now, one does not have any efficient way to investigate stability and bifurcation of dynamical systems with. Get this from a library.
Stability of dynamical systems. [Xiaoxin Liao; Liqiu Wang; Pei Yu] -- The main purpose of developing stability theory is to examine dynamic responses of a system to disturbances as the time approaches infinity. It has been and still is the object of intense. Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms — algorithms that feature logic, timers, or .Additional Physical Format: Online version: Willems, Jacques Leopold, Stability theory of dynamical systems.
London, Nelson, (OCoLC)This is the internet version of Invitation to Dynamical Systems. Unfortunately, the original publisher has let this book go out of print. The version you are now reading is pretty close to the original version (some formatting has changed, so page numbers are unlikely to be the same, and the fonts are diﬀerent).