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  3. Perspectives of Nonlinear Dynamics
  • Cited by 241
      • Volume 1
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    • Publisher:
      Cambridge University Press
      Publication date:
      January 2010
      September 1989
      ISBN:
      9780511623974
      9780521426329
      DOI:
      https://doi.org/10.1017/CBO9780511623974
      Dimensions:
      Weight & Pages:
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      0.92kg, 520 Pages
      • Subjects:
      Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Mathematical Physics
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    Subjects:
    Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Mathematical Physics
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    Book description

    The dynamics of physical, chemical, biological, or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. In this book the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts. This book is a comprehensive introduction to this field, suited to a broad readership, and reflecting a wide range of applications. Some of the concepts considered are: topological equivalence; embeddings; dimensions and fractals; Poincaré maps and map-dynamics; empirical computational sciences vis-á-vis mathematics; Ulam's synergetics; Turing's instability and dissipative structures; chaos; dynamic entropies; Lorenz and Rossler models; predator-prey and replicator models; FPU and KAM phenomena; solitons and nonsolitons; coupled maps and pattern dynamics; cellular automata.

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