Items related to Dynamical Systems: Stability, Symbolic Dynamics, and...

Dynamical Systems: Stability, Symbolic Dynamics, and Chaos: 28 (Studies in Advanced Mathematics) - Hardcover

Book 1 of 23: Studies in advanced Mathematics

Robinson, Clark

 
9780849384950: Dynamical Systems: Stability, Symbolic Dynamics, and Chaos: 28 (Studies in Advanced Mathematics)
Hardcover
ISBN 10: 0849384958 ISBN 13: 9780849384950
Publisher: CRC Press, 1995

Synopsis

Several distinctive aspects make Dynamical Systems unique, including:

  • treating the subject from a mathematical perspective with the proofs of most of the results included
  • providing a careful review of background materials
  • introducing ideas through examples and at a level accessible to a beginning graduate student
  • focusing on multidimensional systems of real variables

    The book treats the dynamics of both iteration of functions and solutions of ordinary differential equations. Many concepts are first introduced for iteration of functions where the geometry is simpler, but results are interpreted for differential equations. 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 later chapters address more global aspects.

    • "synopsis" may belong to another edition of this title.

    About the Author

    Clark Robinson

    From the Back Cover

    The second edition of this popular text continues to treat dynamical systems from a mathematical perspective centering on multidimensional systems of real variables. At a level accessible to beginning graduate students, it addresses the dynamics of both the iteration of functions and solutions of ordinary differential equations. This edition includes material on horsehoes, an additional chapter on Hamiltonian systems, a revised discussion of the saddle node bifurcation, and proof of the ergodicity of a hyperbolic toral automorphism. Numerous exercises help readers understand the theorems presented and master the techniques of the proofs and topics under consideration.

    "About this title" may belong to another edition of this title.

    Publisher
    CRC Press
    Publication date
    1995
    Language
    English
    ISBN 10 
    0849384958
    ISBN 13 
    9780849384950
    Binding
    Hardcover
    Number of pages
    524