ODE 我学过了， dynamical system 我也学过了。
后边的 PDE， 定性分析，范函分析，数值方法的这些我也学过了。
你说的这两本是数学物理方法的入门教材。 我想找的主要是非线性，多维（3维以上系统的）。
热 ...
你学过了. Hehe. Perhaps this is good for you.
author = {K.T. Alligood and T.D. Sauer and J.A. Yorke},
title = {Chaos: An Introduction to Dynamical Systems},
publisher= {Springer, Berlin},
year = {2000},
It's better to choose one subject then, bifurcation, chaos etc.The bifurcations (local and global) in higher dimensional systems is not easy. The chaos is also difficult.
Complex systems? A nice review about "statistical mechanics of complex networks" in Review of Modern Physics. 原帖由 Bettencourt 于 2008-7-22 22:59 发表 http://www.dolc.de/forum/images/common/back.gif
可惜菜氏电路最终还是没有实际应用。貌似十年前就已经过气了。
No.
貌似生物学里头这个也有应用
Some nonlinear challenges in biologyLinkingservices der TIB/UB Hannover
Linkingservices der TIB/UB Hannover Go to Holdings
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Author(s): Mosconi F (Mosconi, Francesco), Julou T (Julou, Thomas), Desprat N (Desprat, Nicolas), Sinha DK (Sinha, Deepak Kumar), Allemand JF (Allemand, Jean-Francois), Croquette V (Croquette, Vincent), Bensimon D (Bensimon, David)
Source: NONLINEARITY Volume: 21 Issue: 8 Pages: T131-T147 Published: AUG 2008
Times Cited: 0 References: 71 Citation MapCitation Map beta
Abstract: Driven by a deluge of data, biology is undergoing a transition to a more quantitative science. Making sense of the data, building new models, asking the right questions and designing smart experiments to answer them are becoming ever more relevant. In this endeavour, nonlinear approaches can play a fundamental role. The biochemical reactions that underlie life are very often nonlinear. The functional features exhibited by biological systems at all levels (from the activity of an enzyme to the organization of a colony of ants, via the development of an organism or a functional module like the one responsible for chemotaxis in bacteria) are dynamically robust. They are often unaffected by order of magnitude variations in the dynamical parameters, in the number or concentrations of actors (molecules, cells, organisms) or external inputs (food, temperature, pH, etc). This type of structural robustness is also a common feature of nonlinear systems, exemplified by the fundamental role played by dynamical fixed points and attractors and by the use of generic equations (logistic map, Fisher-Kolmogorov equation, the Stefan problem, etc.) in the study of a plethora of nonlinear phenomena. However, biological systems differ from these examples in two important ways: the intrinsic stochasticity arising from the often very small number of actors and the role played by evolution. On an evolutionary time scale, nothing in biology is frozen. The systems observed today have evolved from solutions adopted in the past and they will have to adapt in response to future conditions. The evolvability of biological system uniquely characterizes them and is central to biology. As the great biologist T Dobzhansky once wrote: 'nothing in biology makes sense except in the light of evolution'. LZ好上进。
$送花$ 最近在看图灵的老文章，关于化学计算机的 http://emuch.net/bbs
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