新書推薦:

《
混沌与秩序Ⅲ:人工智能时代企业成长之道
》
售價:HK$
96.8

《
新文化运动中的杜威——“实用主义”的变奏
》
售價:HK$
82.5

《
世界两栖战舰和两栖作战百科全书
》
售價:HK$
437.8

《
藩镇时代
》
售價:HK$
107.8

《
国家记忆:故宫文物南迁史
》
售價:HK$
185.9

《
时间的朋友
》
售價:HK$
64.9

《
士变:近代中国的思想转折
》
售價:HK$
96.8

《
本土在行动:近代中国的疾病、医疗与卫生(1820-1937)(学衡心史文丛)
》
售價:HK$
107.8
|
| 內容簡介: |
This textbook is aimed at newcomers to nonlinear dynamics and
來源:香港大書城megBookStore,http://www.megbook.com.hk 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 the mathematical
theory. Richly illustrated, and with many exercises and worked
examples, this book is ideal for an introductory course at the
juniorsenior or first-year graduate level. It is also ideal for
the scientist who has not had formal instruction in nonlinear
dynamics, but who now desires to begin informal study. The
prerequisites are multivariable calculus and introductory
physics.
|
|