Liapunov asymptotic stability and Zhukovskij asymptotic stability

Chaos, Solitons and Fractals

Volumn 11, Issue 13, 2000, Pages 1995-1999

  Yang, Xiao Song ^a  

^a CHONGQING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

LYAPUNOV METHODS; MATHEMATICAL MODELS; SET THEORY; THEOREM PROVING;

LYAPUNOV STABILITY; OMEGA LIMIT SET; ORBITAL STABILITY; ZHUKOVSKIJ STABILITY;

ASYMPTOTIC STABILITY;

EID: 0033723220     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0960-0779(99)00089-2     Document Type: Article

References (8)

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2. Jackson EA. Perspectives of nonlinear dynamics, vol. 1. Cambridge: Cambridge University Press, 1989.
3. Leonov GA, Ponomarenko DV, Smirnova VB. Local instability and localization of attractors from stochastic generator to chua's systems. Acta Appl Math 1995;40:179-243.
4. Liao X. Mathematical theory and application of stability. Wuhan, China: Central China Normal University Press, 1988.
5. Liapunov AM. The general problem of the stability of motion, Kharkov, vol. 1892. Princeton: Princeton University Press, 1947.
6. Palis Jr. J, de Melo W. Geometric theory of dynamical systems. New York: Springer, 1982.
7. Poincaré H. Memoire sur les corbes definies par les equations differentielles. J Math Pires Appl Sér 1886;4(2).
8. Zhukovskij NE. On solidity of motion. In: Collection of works, vol. 1. Moscow: Leningrad Press, 1948:67-1.