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- catalog abstract "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.".
- catalog contributor b10536655.
- catalog contributor b10536656.
- catalog contributor b10536657.
- catalog created "c1997.".
- catalog date "1997".
- catalog date "c1997.".
- catalog dateCopyrighted "c1997.".
- catalog description "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.".
- catalog description "Includes bibliographical references (p. 587-594) and index.".
- catalog description "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.".
- catalog extent "xvii, 603 p. :".
- catalog identifier "0387946772".
- catalog isPartOf "Textbooks in mathematical sciences".
- catalog issued "1997".
- catalog issued "c1997.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "003/.85 20".
- catalog subject "Chaotic behavior in systems.".
- catalog subject "Differentiable dynamical systems.".
- catalog subject "Engineering.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematics.".
- catalog subject "Physics.".
- catalog subject "QA614.8 .A44 1997".
- catalog tableOfContents "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.".
- catalog title "Chaos : an introduction to dynamical systems / Kathleen T. Alligood, Tim D. Sauer, James A. Yorke.".
- catalog type "text".