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Dynamical Systems: Stability, Symbolic Dynamics, and Chaos - Couverture rigide

Livre 1 sur 23: Studies in advanced Mathematics

Robinson, R. Clark

 
9780849384950: Dynamical Systems: Stability, Symbolic Dynamics, and Chaos

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.
  • Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

    À propos de l'auteur

    Clark Robinson

    À propos de la quatrième de couverture

    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.

    Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

    Autres éditions populaires du même titre

    9780849384936: Dynamical SystemsStability, Symbolic Dynamics, and Chaos

    Edition présentée

    ISBN 10 :  0849384931 ISBN 13 :  9780849384936
    Editeur : CRC Press Inc, 1994
    Couverture rigide