TY  - BOOK
AU  - Strogatz,Steven H.
TI  - Nonlinear dynamics and chaos: with applications to physics, biology, chemistry and engineering 
SN  - 9780813349107
U1  - 512.15 
PY  - 2015///
CY  - Estados Unidos de América : 
PB  - Westview Press, 
KW  - Ecuaciones diferenciales
KW  - Cálculo diferencial
KW  - Análisis funcional
KW  - Algebras lineales
KW  - Matemáticas
N1  - 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
N2  - 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
ER  -