Qualitative Theory Of Dynamical Systems
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Qualitative Theory Of Dynamical Systems
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Author : Anthony Michel
language : en
Publisher: CRC Press
Release Date : 2001-01-04
Qualitative Theory Of Dynamical Systems written by Anthony Michel and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-04 with Mathematics categories.
"Illuminates the most important results of the Lyapunov and Lagrange stability theory for a general class of dynamical systems by developing topics in a metric space independantly of equations, inequalities, or inclusions. Applies the general theory to specific classes of equations. Presents new and expanded material on the stability analysis of hybrid dynamical systems and dynamical systems with discontinuous dynamics."
Qualitative Theory Of Differentiable Dynamical Systems
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Author : Shantao Liao
language : en
Publisher: Science Press New York
Release Date : 1996
Qualitative Theory Of Differentiable Dynamical Systems written by Shantao Liao and has been published by Science Press New York this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Medical categories.
Qualitative Theory Of Dynamical Systems
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Author : Dingjun Luo
language : en
Publisher: World Scientific
Release Date : 1993-09-21
Qualitative Theory Of Dynamical Systems written by Dingjun Luo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-09-21 with Science categories.
This book deals with the global qualitative behavior of flows and diffeomorphisms. It presents a systematic study of the fundamental theory and method of dynamical systems, from local behavior near a critical (fixed) point or periodic orbit to the global, such as global structural stability, bifurcations and chaos. It emphasizes the global non-hyperbolicity and introduces some new results obtained by Chinese mathematicians which may not be widely known.
Qualitative Theory Of Dynamical Systems Tools And Applications For Economic Modelling
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Author : Gian Italo Bischi
language : en
Publisher: Springer
Release Date : 2016-06-02
Qualitative Theory Of Dynamical Systems Tools And Applications For Economic Modelling written by Gian Italo Bischi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-02 with Science categories.
The book presents the lectures delivered during a short course held at Urbino University in summer 2015 on qualitative theory of dynamical systems, included in the activities of the COST Action IS1104 “The EU in the new economic complex geography: models, tools and policy evaluation”. It provides a basic introduction to dynamical systems and optimal control both in continuous and discrete time, as well as some numerical methods and applications in economic modelling. Economic and social systems are intrinsically dynamic, characterized by interdependence, nonlinearity and complexity, and these features can only be approached using a qualitative analysis based on the study of invariant sets (equilibrium points, limit cycles and more complex attractors, together with the boundaries of their basins of attraction), which requires a trade-off between analytical, geometrical and numerical methods. Even though the early steps of the qualitative theory of dynamical systems have been in continuous time models, in economic and social modelling discrete time is often used to describe event-driven (often decision-driven) evolving systems. The book is written for Ph.D. and master’s students, post-doctoral fellows, and researchers in economics or sociology, and it only assumes a basic knowledge of calculus. However it also suggests some more advanced topics.
Introduction To The Qualitative Theory Of Dynamical Systems On Surfaces
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Author : S. Kh Aranson E. V. Zhuzhoma
language : en
Publisher: American Mathematical Soc.
Release Date :
Introduction To The Qualitative Theory Of Dynamical Systems On Surfaces written by S. Kh Aranson E. V. Zhuzhoma and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
This book is an introduction to the qualitative theory of dynamical systems on manifolds of low dimension (on the circle and on surfaces). Along with classical results, it reflects the most significant achievements in this area obtained in recent times by Russian and foreign mathematicians whose work has not yet appeared in the monographic literature. The main stress here is put on global problems in the qualitative theory of flows on surfaces. Despite the fact that flows on surfaces have the same local structure as flows on the plane, they have many global properties intrinsic to multidimensional systems. This is connected mainly with the existence of nontrivial recurrent trajectories for such flows. The investigation of dynamical sytems on surfaces is therefore a natural stage in the transition to multidimensional dynamical systems. The reader of this book need by familiar only with basic courses indifferential equations and smooth manifolds. All the main definitions and concepts required for understanding the contents are given in the text. The results expounded can be used for investigating mathematical models of mechanical, physical, and other systems (billiards in polygons, the dynamics of a spinning top with nonholonomic constraints, the structure of liquid crystals, etc). The book should be useful not only to mathematicians in all areas, but also to specialists with a mathematical background who are studying dynamical processes: mechanical engineers, physicists, biologists, and so on.
Translations Of Mathematical Monographs
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Author :
language : en
Publisher:
Release Date : 1962
Translations Of Mathematical Monographs written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Flows (Differentiable dynamical systems) categories.
Qualitative Theory Of Hybrid Dynamical Systems
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Author : Alexey S. Matveev
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Qualitative Theory Of Hybrid Dynamical Systems written by Alexey S. Matveev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The emerging area of hybrid dynamical systems lies at the interface of control theory and computer science, i.e., analogue 'and' digital aspects of systems. This new monograph presents state-of-the-art concepts, methods and tools for analyzing and describing hybrid dynamical systems.
Methods In The Qualitative Theory Of Dynamical Systems In Astrophysics And Gas Dynamics
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Author : Oleg Igorevich Bogoi͡avlenskiĭ
language : en
Publisher: Springer
Release Date : 1985
Methods In The Qualitative Theory Of Dynamical Systems In Astrophysics And Gas Dynamics written by Oleg Igorevich Bogoi͡avlenskiĭ and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
Qualitative Theory Of Dynamical Systems Vol 4 N M 1
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Author : Universitat de Lleida
language : en
Publisher:
Release Date : 2013
Qualitative Theory Of Dynamical Systems Vol 4 N M 1 written by Universitat de Lleida and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Qualitative Theory Of Differential Equations
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Author : V. V. Nemytskii
language : en
Publisher: Courier Corporation
Release Date : 1989-01-01
Qualitative Theory Of Differential Equations written by V. V. Nemytskii and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Mathematics categories.
Graduate-level text considers existence and continuity theorems, integral curves of a system of 2 differential equations, systems of n-differential equations, general theory of dynamical systems, systems with an integral invariant, more. 1960 edition.
