2 edition of **Stability theory and related topics in dynamical systems** found in the catalog.

Stability theory and related topics in dynamical systems

- 222 Want to read
- 20 Currently reading

Published
**1989**
by World Scientific in Singapore, Teaneck, N.J
.

Written in English

- Differentiable dynamical systems -- Congresses.,
- Stability -- Congresses.

**Edition Notes**

Statement | editors, K. Shiraiwa & G. Ikegami. |

Series | Advanced series in dynamical systems ;, vol. 6 |

Contributions | Shiraiwa, Kenichi., Ikegami, Gikō. |

Classifications | |
---|---|

LC Classifications | QA614.8 .S73 1989 |

The Physical Object | |

Pagination | x, 178 p. : |

Number of Pages | 178 |

ID Numbers | |

Open Library | OL2213777M |

ISBN 10 | 9971509040 |

LC Control Number | 89036693 |

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 . The quest to ensure perfect dynamical properties and the control of different systems is currently the goal of numerous research all over the world. The aim of this book is to provide the reader with a selection of methods in the field of mathematical modeling, simulation, and control of different dynamical systems. The chapters in this book focus on recent developments and current.

Covers a range of topics related to the relatively recent literature on the theory and applications of dynamical systems subject to random shocks. It can serve as the basic text for courses on dynamic economics or stochastic processes, and is a valuable tool for further s: 1. Chen, C., T., Linear System Theory and Design, Oxford University Press, Inc., Notes: This book is a resource for those interested in the mathematical details of modern control theory. It covers the state variable approach, observability, controllability, stability, and the matrix theorms used in the state variable approach.

This was a good book. Ir was above my expertise but was instructive nonetheless. It covered the usual value of linearization. It also covered perturbation methods then bifurcation theory (saddlenode, transcritical, pitchfork and Hopf) and then discusses chaos through the Reviews: 4. A survey on the conditions of local stability of fixed points of three-dimensional discrete dynamical systems or difference equations is provided. In particular, the techniques for studying the stability of nonhyperbolic fixed points via the centre manifold theorem are presented. A nonlinear model in population dynamics is studied, namely, the Ricker competition model of three species.

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Papers presented at the conference entitled: Stability theory and other related topics in dynamical systems, held at the Dept. of Mathematics, Nagoya University, Japan, Oct. Description: pages cm. Series Title: Advanced series in dynamical systems, vol.

Responsibility: edited by K. Shiraiwa and G. Ikegami. Papers presented at the conference entitled: Stability theory and other related topics in dynamical systems, held at the Dept. of Mathematics, Nagoya University, Japan, Oct. Rating: (not yet rated) 0 with reviews - Be the first.

This Book; Anywhere; Advanced Series in Dynamical Systems: Volume 6 Stability Theory and Related Topics in Dynamical Systems.

Proceedings of the Symposium. Symposium on Stability Theory and Related Topics in Dynamical Systems, Nagoya, Japan, 17 – 19 October Stability Theory of Dynamical Systems Article (PDF Available) in IEEE Transactions on Systems Man and Cybernetics 1(4) - November with 2, Reads How we measure 'reads'.

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.

- 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.

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 investigations due to its intrinsic interest and its relevance to all practical systems in engineering, finance, natural science and social science.

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.

"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.

In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions.

The heat equation, for example, is a stable partial differential equation because small perturbations of initial data lead to small variations in temperature at a later time as a result of the maximum principle. The book provides a state-of-the-art of the stability issues for switched dynamical systems.

It can be of interest to researchers and automatic control engineers. Also, it can be used as a complementary reading for postgraduate students of the nonlinear systems theory.” (Mikhail I. Nonlinear Dynamical Systems and Control, a Lyapunov-based approach. Princeton University Press. ISBN Teschl, G.

Ordinary Differential Equations and Dynamical Systems. Providence: American Mathematical Society. ISBN Wiggins, S. Introduction to Applied Nonlinear Dynamical Systems and Chaos (2 ed.). It includes topics from bifurcation theory, continuous and discrete dynamical systems, Liapunov functions, etc.

and is very readable. If you're looking for something a little more advanced, some suggestions would be Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations by Paul Glendinning or.

§ Oscillation theory § Periodic Sturm–Liouville equations Part 2. 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.

Denis Serre, À ma Mère, in Handbook of Mathematical Fluid Dynamics, Dynamical stability. Teshukov has considered in [75] the most important dynamical stability of the RR as a stationary solution of the (full) Euler this purpose, he linearizes the system about the RR.

This resembles our analysis above, but with an extra ∂ t U. A Laplace transform in time replaces this. Stability Theory of Switched Dynamical Systems By Zhendong Sun, Shuzhi Sam Ge (auth.) | Pages | ISBN: | PDF | 4 MB.

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.

Dynamic systems theory addresses the process of change and development, rather than developmental outcomes; in dynamic systems terms, there is no end point of development (Thelen & Ulrich, ). Moreover, with its central focus on change and change in the rate of change, dynamic systems theory points to questions about both (a) change from one.

Dynamical systems, in general. Deterministic system (mathematics) Linear system; Partial differential equation; Dynamical systems and chaos theory; Chaos theory. Chaos argument; Butterfly effect; test for chaos; Bifurcation diagram; Feigenbaum constant; Sharkovskii's theorem; Attractor.

Strange nonchaotic attractor; Stability theory. The first part of this two-part paper presents a general theory of dissipative dynamical systems. The mathematical model used is a state space model and dissipativeness is defined in terms of an inequality involving the storage function and the supply function.

It is shown that the storage function satisfies an a priori inequality: it is bounded from below by the available storage and from.

Various types of stability may be discussed for the solutions of differential equations or difference equations describing dynamical most important type is that concerning the stability of solutions near to a point of equilibrium.

This may be discussed by the theory of Aleksandr simple terms, if the solutions that start out near an equilibrium point stay near forever.Advanced Series on Dynamical Systems — Vol."6 Stability Theory and Related Topics in Dynamical Systems Oct Nagoya, Japan Editors K.

Shiraiwa & G. Ikegami Department of Mathematics Nagoya University World Scientific Singapore • New Jersey • London • Hong Kong.This book will be an excellent source of material for beginning graduate students studying the stability theory of dynamical systems and for self study by researchers and practitioners interested in systems theory of engineering, computer science, chemistry, life sciences and economics." (Olusola Akinyele, Mathematical Reviews, Issue i)Author: Anthony N.

Michel.