Chaos :an introduction to dynamical systems

  • 作者: Alligood, Kathleen T.
  • 其他作者: Sauer, Tim. , Yorke, James A.
  • 出版: New York : Springer ©1996.
  • 稽核項: 1 online resource (xvii, 603 pages, [8] pages of color plates) :illustrations.
  • 叢書名: Textbooks in mathematical sciences
  • 標題: Differential EquationsGeneral. , Dynamique différentiable. , Differentiable dynamical systems. , Chaos. , Chaotic behavior in systems. , Electronic books. , MATHEMATICS , MATHEMATICS Differential Equations -- General.
  • ISBN: 0585498849 , 9780585498843
  • ISBN: 0387946772 , 9780387946771
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  • 附註: Includes bibliographical references (pages 587-594) and index. Preface -- One-Dimensional Maps -- Two-dimensional Maps -- Chaos -- Fractals -- Chaos in Two-Dimensional Maps -- Chaotic Attractors -- Differential Equations -- Periodic Orbits and Limited Sets -- Chaos in Differential Equations -- Stable Manifolds and Crises -- Bifurcations -- Cascades -- State Reconstruction of Data -- Appendices A & B -- Answers and Hints to Selected Exercises -- Bibliography -- Index.
  • 摘要: Chaos: An Introduction to Dynamical Systems, was developed and class-tested by a distinguished team of authors at two universities through their teaching of courses based on the material. Intended for courses in nonlinear dynamics offered either in Mathematics or Physics, the text requires only calculus, differential equations, and linear algebra as prerequisites. Along with discussions of the major topics, including discrete dynamical systems, chaos, fractals, nonlinear differential equations and bifurcations, the text also includes Lab Visits, short reports that illustrate relevant concepts from the physical, chemical and biological sciences. There are Computer Experiments throughout the text that present opportunities to explore dynamics through computer simulations, designed to be used with any software package. And each chapter ends with a Challenge, which provides students a tour through an advanced topic in the form of an extended exercise.
  • 電子資源: https://dbs.tnua.edu.tw/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=104511
  • 系統號: 005307206
  • 資料類型: 電子書
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