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Dynamic Systems on Measure Chains: 370 (Mathematics and Its Applications) - Tapa blanda

Lakshmikantham, V.; Sivasundaram, S.; Kaymakcalan, B.

 
9781441947604: Dynamic Systems on Measure Chains: 370 (Mathematics and Its Applications)
Tapa blanda
ISBN 10: 1441947604 ISBN 13: 9781441947604
Editorial: Springer, 2010

Sinopsis

From a modelling point of view, it is more realistic to model a phenomenon by a dynamic system which incorporates both continuous and discrete times, namely, time as an arbitrary closed set of reals called time-scale or measure chain. It is therefore natural to ask whether it is possible to provide a framework which permits us to handle both dynamic systems simultaneously so that one can get some insight and a better understanding of the subtle differences of these two different systems. The answer is affirmative, and recently developed theory of dynamic systems on time scales offers the desired unified approach.
In this monograph, we present the current state of development of the theory of dynamic systems on time scales from a qualitative point of view. It consists of four chapters. Chapter one develops systematically the necessary calculus of functions on time scales. In chapter two, we introduce dynamic systems on time scales and prove the basic properties of solutions of such dynamic systems. The theory of Lyapunov stability is discussed in chapter three in an appropriate setup. Chapter four is devoted to describing several different areas of investigations of dynamic systems on time scales which will provide an exciting prospect and impetus for further advances in this important area which is very new.
Some important features of the monograph are as follows:

  • It is the first book that is dedicated to a systematic development of the theory of dynamic systems on time scales which is of recent origin.
  • It demonstrates the interplay of the two different theories, namely, the theory of continuous and discrete dynamic systems, when imbedded in one unified framework.
  • It provides an impetus to investigate in the setup of time scales other important problems which might offer a better understanding of the intricacies of a unified study.£/LIST£
    Audience: Thereadership of this book consists of applied mathematicians, engineering scientists, research workers in dynamic systems, chaotic theory and neural nets.

    • "Sinopsis" puede pertenecer a otra edición de este libro.

    Reseña del editor

    From a modelling point of view, it is more realistic to model a phenomenon by a dynamic system which incorporates both continuous and discrete times, namely, time as an arbitrary closed set of reals called time-scale or measure chain. It is therefore natural to ask whether it is possible to provide a framework which permits us to handle both dynamic systems simultaneously so that one can get some insight and a better understanding of the subtle differences of these two different systems. The answer is affirmative, and recently developed theory of dynamic systems on time scales offers the desired unified approach.
    In this monograph, we present the current state of development of the theory of dynamic systems on time scales from a qualitative point of view. It consists of four chapters. Chapter one develops systematically the necessary calculus of functions on time scales. In chapter two, we introduce dynamic systems on time scales and prove the basic properties of solutions of such dynamic systems. The theory of Lyapunov stability is discussed in chapter three in an appropriate setup. Chapter four is devoted to describing several different areas of investigations of dynamic systems on time scales which will provide an exciting prospect and impetus for further advances in this important area which is very new.
    Some important features of the monograph are as follows:

  • It is the first book that is dedicated to a systematic development of the theory of dynamic systems on time scales which is of recent origin.
  • It demonstrates the interplay of the two different theories, namely, the theory of continuous and discrete dynamic systems, when imbedded in one unified framework.
  • It provides an impetus to investigate in the setup of time scales other important problems which might offer a better understanding of the intricacies of a unified study.£/LIST£
    Audience: The readership of this book consists of applied mathematicians, engineering scientists, research workers in dynamic systems, chaotic theory and neural nets.

    • "Sobre este título" puede pertenecer a otra edición de este libro.

    Editorial
    Springer
    Año de publicación
    2010
    Idioma
    Inglés
    ISBN 10 
    1441947604
    ISBN 13 
    9781441947604
    Encuadernación
    Tapa blanda
    Número de páginas
    304
    Contacto del fabricante
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