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About this product
- DescriptionBeginning with realistic mathematical or verbal models of physical or biological phemena, 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, nlinear oscillations, and stability methods for difference, differential-delay, integro-differential and ordinary and partial differential equations are developed throughout the book. For the second edition, the author has restructured the chapters, placing special emphasis on introductory materials in Chapters 1 and 2 as distinct from presentation materials in Chapters 3 through 8. In addition, more material on bifurcations from the point of view of canical models, sections on randomly perturbed systems, and several new computer simulations have been added.
- Author(s)Frank C. Hoppensteadt
- PublisherSpringer-Verlag New York Inc.
- Date of Publication17/03/2013
- SubjectScience: General & Reference
- Series TitleApplied Mathematical Sciences
- Series Part/Volume Number94
- Place of PublicationNew York, NY
- Country of PublicationUnited States
- ImprintSpringer-Verlag New York Inc.
- Content Note1 black & white tables, biography
- Weight528 g
- Width155 mm
- Height235 mm
- Spine18 mm
- Edition Statement2nd ed. 2000. Softcover reprint of the original 2nd ed. 2000
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