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...
Đã lưu trong:
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| Định dạng: | Sách |
| Ngôn ngữ: | Undetermined |
| Được phát hành: |
Reading, Massachusetts
Addison-Wesley
1994
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| Thư viện lưu trữ: | Trung tâm Học liệu Trường Đại học Cần Thơ |
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| Tóm tắt: | 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 |
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