Nonlinear Dynamics And Chaos With Applications To Physics, Biology, Chemistry, And Engineering

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  • Engels
  • Paperback
  • 9780738204536
  • 29 december 2000
  • 512 pagina's
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Samenvatting

This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with the mathematical theory.Richly illustrated, and with many exercises and worked examples, this book is ideal for an introductory course at the junior/senior or first-year graduate level. It is also ideal for the scientist who has not had formal instruction in nonlinear dynamics, but who now desires to begin informal study. The prerequisites are multivariable calculus and introductory physics.

Productspecificaties

Inhoud

Taal
en
Bindwijze
Paperback
Oorspronkelijke releasedatum
29 december 2000
Aantal pagina's
512
Illustraties
Nee

Betrokkenen

Hoofdauteur
Steven H. Strogatz
Hoofduitgeverij
Taylor & Francis Inc

Overige kenmerken

Editie
illustrated edition
Extra groot lettertype
Nee
Studieboek
Ja
Verpakking breedte
152 mm
Verpakking hoogte
32 mm
Verpakking lengte
229 mm
Verpakkingsgewicht
711 g

EAN

EAN
9780738204536
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