Normal view MARC view ISBD view

Nonlinear dynamics and chaos : with applications to physics, biology, chemistry and engineering / Steven H. Strogatz

By: Strogatz, Steven H, 1959- [autor].
Material type: TextTextPublisher: Estados Unidos de América : Westview Press, 2015Edition: Second edition.Description: xiii, 513 páginas : ilustraciones a color y a blanco y negro, gráficas ; 23 cm.Content type: texto Media type: sin mediación Carrier type: volumenISBN: 9780813349107.Subject(s): Ecuaciones diferenciales | Cálculo diferencial | Análisis funcional | Algebras lineales | MatemáticasDDC classification: 512.15
Incomplete contents:
Part I. One dimensional flows: 2. Flows on the line ; 3. Bifurcations ; 4. Flows on the circle ; Part II. Two dimensional flows: 5. Linear systems ; 6. Phase plane ; 7. Limit cycles ; 8. Bifurcations revisited ; Part III. Chaos: 9. Lorenz equations ; 10. One dimensional maps ; 11. Fractals ; 12. Strange attractors
Abstract: 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 mathematical theory. Contraportada.
List(s) this item appears in: Novedades
Tags from this library: No tags from this library for this title. Log in to add tags.
    average rating: 0.0 (0 votes)
Item type Current location Collection Call number Copy number Status Date due Barcode Item holds
Libros Libros Biblioteca CESA

serviciosbiblioteca@cesa.edu.co

Novedades
General 512.15 / ST921 2015 (Browse shelf) Ej.1 Available 7101028969
Total holds: 0

Se adquiere usado, páginas xi, 2, 4-7 y 15 rayadas.

Incluye referencias bibliográficas (470-482), índice de autor (483-486) e índice de materias (487-513)

Part I. One dimensional flows: 2. Flows on the line ; 3. Bifurcations ; 4. Flows on the circle ; Part II. Two dimensional flows: 5. Linear systems ; 6. Phase plane ; 7. Limit cycles ; 8. Bifurcations revisited ; Part III. Chaos: 9. Lorenz equations ; 10. One dimensional maps ; 11. Fractals ; 12. Strange attractors

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 mathematical theory. Contraportada.

There are no comments for this item.

Log in to your account to post a comment.

Click on an image to view it in the image viewer