Numerical simulation of dynamic stability characteristics in mode selectively end- pumped Nd:YAG or Nd:YVO4 rod lasers

Author(s):  
I. Zawischa ◽  
C. Fallnich ◽  
H. Welling ◽  
M. Revermann ◽  
B. Struve
2005 ◽  
Vol 2005.11 (0) ◽  
pp. 435-436
Author(s):  
Kazumasa Furuta ◽  
Masato Ogawa ◽  
Masahiro Watanabe ◽  
Nobuyuki Kobayashi

2018 ◽  
Vol 18 (10) ◽  
pp. 1850128 ◽  
Author(s):  
Jian Deng

The modern theory of stochastic dynamic stability is founded on two main exponents: the largest Lyapunov exponent and moment Lyapunov exponent. Since any fractional viscoelastic system is indeed a system with memory, data normalization during iterations will disregard past values of the response and therefore the use of data normalization seems not appropriate in numerical simulation of such systems. A new numerical simulation method is proposed for determining the [Formula: see text]th moment Lyapunov exponent, which governs the [Formula: see text]th moment stability of the fractional stochastic systems. The largest Lyapunov exponent can also be obtained from moment Lyapunov exponents. Examples of the two-dimensional fractional systems under wideband noise and bounded noise excitations are presented to illustrate the simulation method.


2020 ◽  
Vol 19 (4) ◽  
pp. 919-935
Author(s):  
Zhiyun Deng ◽  
Xinrong Liu ◽  
Yongquan Liu ◽  
Shulin Liu ◽  
Yafeng Han ◽  
...  

2013 ◽  
Vol 88 ◽  
pp. 11-18 ◽  
Author(s):  
Ru-Zhi Gong ◽  
Hong-Jie Wang ◽  
Quan-Zhong Liu ◽  
Ling-Feng Shu ◽  
Feng-Chen Li

Sign in / Sign up

Export Citation Format

Share Document