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- catalog abstract "Beginning with realistic mathematical or verbal models of physical or biological phenomena, the author derives tractable models for further mathematical analysis or computer simulations. For the most part, derivations are based on perturbation methods, and the majority of the text is devoted to careful derivations of implicit function theorems, the method of averaging, and quasi-static state approximation methods. The duality between stability and perturbation is developed and used, relying heavily on the concept of stability under persistent disturbances. Relevant topics about linear systems, nonlinear oscillations, and stability methods for difference, differential-delay, integro-differential and ordinary and partial differential equations are developed throughout the book.".
- catalog contributor b4317534.
- catalog created "[1993]".
- catalog date "1993".
- catalog date "[1993]".
- catalog dateCopyrighted "[1993]".
- catalog description "Beginning with realistic mathematical or verbal models of physical or biological phenomena, the author derives tractable models for further mathematical analysis or computer simulations. For the most part, derivations are based on perturbation methods, and the majority of the text is devoted to careful derivations of implicit function theorems, the method of averaging, and quasi-static state approximation methods. The duality between stability and perturbation is developed and used, relying heavily on the concept of stability under persistent disturbances. Relevant topics about linear systems, nonlinear oscillations, and stability methods for difference, differential-delay, integro-differential and ordinary and partial differential equations are developed throughout the book.".
- catalog description "Includes bibliographical references and index.".
- catalog description "Part I. An introduction to nonlinear systems. 1. Oscillations of linear systems --- 2. Free oscillations --- 3. Stability of nonlinear systems --- 4. Algebraic and technological aspects of nonlinear oscillations ---- Part II. Perturbation methods. 5. Regular perturbation methods --- 6. Forced oscillations --- 7. Methods of averaging --- 8. Quasistatic-state methods".
- catalog extent "305 p. :".
- catalog hasFormat "Analysis and simulation of chaotic systems.".
- catalog identifier "0387979166".
- catalog isFormatOf "Analysis and simulation of chaotic systems.".
- catalog isPartOf "Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 94.".
- catalog isPartOf "Applied mathematical sciences ; 94".
- catalog issued "1993".
- catalog issued "[1993]".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog relation "Analysis and simulation of chaotic systems.".
- catalog subject "510 s 003/.7 20".
- catalog subject "Chaotic behavior in systems.".
- catalog subject "Nonlinear oscillations.".
- catalog subject "QA1 .A647 vol. 94 Q175.5.C45".
- catalog tableOfContents "Part I. An introduction to nonlinear systems. 1. Oscillations of linear systems --- 2. Free oscillations --- 3. Stability of nonlinear systems --- 4. Algebraic and technological aspects of nonlinear oscillations ---- Part II. Perturbation methods. 5. Regular perturbation methods --- 6. Forced oscillations --- 7. Methods of averaging --- 8. Quasistatic-state methods".
- catalog title "Analysis and simulation of chaotic systems / Frank C. Hoppensteadt.".
- catalog type "text".