Nonlinear dynamics and chaos (With applications to physics, biology, chemistry, and engineering)
The book 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 eq...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | كتاب |
| اللغة: | Undetermined |
| منشور في: |
Reading, Massachusetts
Addison-Wesley
1994
|
| الموضوعات: | |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
| Thư viện lưu trữ: | Trung tâm Học liệu Trường Đại học Cần Thơ |
|---|
| الملخص: | The book 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 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 message. In each case, the scientific background is explained at a elementary level and closely integrated with the mathematical theory |
|---|