Favorable 发表于 2025-3-23 11:49:47

Stability by linearisation,pecial solutions. In section 5.4 we have discussed linearisation and we have given a summary of the analysis of linear systems. These methods have been in use for a long time but only since around 1900 the justification of linearisation methods has been started by Poincaré and Lyapunov.

Loathe 发表于 2025-3-23 17:23:43

Stability analysis by the direct method,eceding chapter. When linearising one starts off with small perturbations of the equilibrium or periodic solution and one studies the effect of these . perturbations. In the so-called direct method one characterises the solution in a way with respect to stability which is not necessarily local.

热心 发表于 2025-3-23 19:09:25

http://reply.papertrans.cn/67/6674/667390/667390_13.png

SOW 发表于 2025-3-23 23:26:06

http://reply.papertrans.cn/67/6674/667390/667390_14.png

sorbitol 发表于 2025-3-24 05:53:30

http://reply.papertrans.cn/67/6674/667390/667390_15.png

不透明性 发表于 2025-3-24 09:21:44

978-3-540-60934-6Springer-Verlag Berlin Heidelberg 1996

abstemious 发表于 2025-3-24 13:50:11

Nonlinear Differential Equations and Dynamical Systems978-3-642-61453-8Series ISSN 0172-5939 Series E-ISSN 2191-6675

高兴去去 发表于 2025-3-24 17:49:09

Universitexthttp://image.papertrans.cn/n/image/667390.jpg

aesthetician 发表于 2025-3-24 19:33:43

https://doi.org/10.1007/978-3-642-61453-8Chaos; averaging methods; bifurcation theory; differential equations; dynamical systems; dynamische Syste

急性 发表于 2025-3-25 00:17:41

http://reply.papertrans.cn/67/6674/667390/667390_20.png
页: 1 [2] 3 4 5 6
查看完整版本: Titlebook: Nonlinear Differential Equations and Dynamical Systems; Ferdinand Verhulst Textbook 1996Latest edition Springer-Verlag Berlin Heidelberg 1