The Stochastic stability of a Logistic model with Poisson white noise

Chinese Physics B

Volumn 20, Issue 3, 2011, Pages

  Duan, Dong Hai ^a   Xu, Wei ^a   Su, Jun ^b   Zhou, Bing Chang ^a  

^a NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

^b XI'AN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

It formula; Lyapunov exponent; Poisson white noise; stochastic bifurcation

Indexed keywords

AMPLITUDE DISTRIBUTIONS; DIAGNOSTIC TOOLS; LOGISTIC MODELS; LYAPUNOV EXPONENT; NATURAL ENVIRONMENTS; POISSON WHITE NOISE; STOCHASTIC BIFURCATION; STOCHASTIC RESPONSE; STOCHASTIC STABILITY; WHITE NOISE PROCESS;

BIFURCATION (MATHEMATICS); DIFFERENTIAL EQUATIONS; DYNAMICAL SYSTEMS; LYAPUNOV FUNCTIONS; LYAPUNOV METHODS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

WHITE NOISE;

EID: 79955660287     PISSN: 16741056     EISSN: None     Source Type: Journal    
DOI: 10.1088/1674-1056/20/3/030501     Document Type: Article

References (20)

1. Kyoung Kim, Powers E, Ritz C, Miksad R and Fischer F 1987 IEEE J. Ocean. Eng. 12 568
2. Moshchuk N and Ibrahim R A 1996 J. Sound Vibration 191 107
3. Mircea Grigoriu 1996 Phys. Lett. A 217 258
4. Mircea Grigoriu 1996 J. Sound Vibration 195 375
5. Mircea Grigoriu 2004 Nonlinear Dynamics 36 255
6. Federico Waisman and Mircea Grigoriu 1999 Probabilistic Eng. Mechanics 14 195
7. DiPaola M and Santoro R 2008 Probabilistic Eng. Mechanics 23 164
8. Muscolino G, Ricciardi G and Cacciola P 2003 Non-Linear Mechanics 38 1269
9. He Q, Xu W, Rong H W and Fang T 2004 Physica A 338 319
10. Wu Y and Zhu W Q 2008 Phys. Rev. E 77 041911
11. Xiao Y Z and Xu W 2008 Chin. Phys. B 17 80
12. Zhang Y, Xu W and Fang T 2007 Chin. Phys. 16 1923
13. Guo Y F, Xu W and Wang L 2010 Chin. Phys. B 19 040503
14. Yannacopoulos A N, Frantzeskakis D J, Polymilis C and Hizanidis K 2000 Phys. Lett. A 271 334
15. Dong X J 2009 Chin. Phys. B 18 70
16. Chen Y D, Li L, Zhang Y and Hu J M 2009 Chin. Phys. B 18 1373
17. Guo F, Luo X D, Li S F and Zhou Y R 2010 Chin. Phys. B 19 080502
18. Ludwing Arnold 1998 Random Dynamical Systems (Berlin: Springer-Verlag)
19. Philip E Protter 2005 Stochastic Integration and Differential Equations 2nd ed. (New York: Springer-Verlag)
20. Mircea Grigoriu 2002 Stochastic Calculus: Applications in Science and Engineering (Boston: Birkhäuser)