The Topology of Chaos
 |
|
Описание:
A new approach to understanding nonlinear dynamics and strange attractors The behavior of a physical system may appear irregular or chaotic even when it is completely deterministic and predictable for short periods of time into the future. How does one model the dynamics of a system operating in a chaotic regime? Older tools such as estimates of the spectrum of Lyapunov exponents and estimates of the spectrum of fractal dimensions do not sufficiently answer this question. In a significant evolution of the field of Nonlinear Dynamics, The Topology of Chaos responds to the fundamental challenge of chaotic systems by introducing a new analysis method–Topological Analysis–which can be used to extract, from chaotic data, the topological signatures that determine the stretching and squeezing mechanisms which act on flows in phase space and are responsible for generating chaotic data. Beginning with an example of a laser that has been operatedunder conditions in which it behaved...Похожие книги
 | Differential equations, stability and chaos in dynamic economics Автор: W.A. Brock Год: 1989 |
 | Introduction to nonlinear science Автор: Nicolis G. Год: 1995 |
 | Coping with Chaos: Analysis of Chaotic Data and Exploitation of Chaotic Systems Автор: Ott E., Sauer T., Yorke J.A. (eds.) Год: 1994 |
| Chaos Bifurcations and Fractals Around Us: A Brief Introduction Автор: Wanda Szemplinska-Stupnicka Год: 2004 |
| Chaos and Coarse Graining in Statistical Mechanics Автор: Patrizia Castiglione Год: 2008 |
| Integration Of Fuzzy Logic And Chaos Theory Автор: Li Zhong, Halang Wolfgang A., Chen Guanrong Год: 2006 |