Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry,

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Características del artículo

Estado
Nuevo: Libro nuevo, sin usar y sin leer, que está en perfecto estado; incluye todas las páginas sin ...
Book Title
Nonlinear Dynamics and Chaos: With Applications to Physics, Biolo
Publication Date
2024-01-16
Edition Number
3
Pages
616
ISBN
9781032707891
Categoría

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Product Identifiers

Publisher
CRC Press LLC
ISBN-10
1032707895
ISBN-13
9781032707891
eBay Product ID (ePID)
22075299489

Product Key Features

Number of Pages
616 Pages
Publication Name
Nonlinear Dynamics and Chaos : with Applications to Physics, Biology, Chemistry, and Engineering
Language
English
Publication Year
2024
Subject
General, Applied, Arithmetic
Type
Textbook
Author
Steven H. Strogatz
Subject Area
Mathematics, Science
Format
Hardcover

Dimensions

Item Weight
34.2 Oz
Item Length
9.2 in
Item Width
6.1 in

Additional Product Features

Edition Number
3
Intended Audience
College Audience
Dewey Edition
23
Illustrated
Yes
Dewey Decimal
003/.857
Table Of Content
Chapter 1. Overview. Chapter 2. Flows on the Line. Chapter 3. Bifurcations. Chapter 4. Flows on the Circle. Chapter 5. Linear Systems. Chapter 6. Phase Plane. Chapter 7. Limit Cycles. Chapter 8. Bifurcations Revisited. Chapter 9. Lorenz Equations. Chapter 10. One-Dimensional Maps. Chapter 11. Fractals. Chapter 12. Strange Attractors. Chapter 13. Kuramoto Model.
Synopsis
The goal of this Third Edition is the same as previous editions: to provide a good foundation - and a joyful experience - for anyone who'd like to learn about nonlinear dynamics and chaos from an applied perspective., The goal of this third edition of Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering is the same as previous editions: to provide a good foundation - and a joyful experience - for anyone who'd like to learn about nonlinear dynamics and chaos from an applied perspective. 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. The prerequisites are comfort with multivariable calculus and linear algebra, as well as a first course in physics. Ideas from probability, complex analysis, and Fourier analysis are invoked, but they're either worked out from scratch or can be safely skipped (or accepted on faith). Changes to this edition include substantial exercises about conceptual models of climate change, an updated treatment of the SIR model of epidemics, and amendments (based on recent research) about the Selkov model of oscillatory glycolysis. Equations, diagrams, and every word has been reconsidered and often revised. There are also about 50 new references, many of them from the recent literature. The most notable change is a new chapter. Chapter 13 is about the Kuramoto model. The Kuramoto model is an icon of nonlinear dynamics. Introduced in 1975 by the Japanese physicist Yoshiki Kuramoto, his elegant model is one of the rare examples of a high-dimensional nonlinear system that can be solved by elementary means. Students and teachers have embraced the book in the past, its general approach and framework continue to be sound.
LC Classification Number
Q172.5.C45S7 2024

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