Application of the lie group transformations to nonlinear dynamical systems

Journal of Applied Mechanics, Transactions ASME

Volumn 66, Issue 2, 1999, Pages 439-447

  Pilipchuk, V N ^a   Ibrahim, R A ^a  

^a Wayne State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMIC RESPONSE; EQUATIONS OF MOTION; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR SYSTEMS; RESONANCE;

INTERNAL RESONANCE; LIE GROUP TRANSFORMATIONS;

VIBRATIONS (MECHANICAL);

EID: 0033148717     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2791068     Document Type: Article

References (10)

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9. Zhuravlev, V. Ph., 1986, “The Application of Monomial Lie Groups to the Problem of Asymptotically integrating Equations of Mechanics,” Pricladnaya Matematika Mekhanika (PMM), Vol. 50, pp. 346-352.
10. Zhuravlev, V. Ph., and Klimov, D. M., 1988, Applied methods in Vibration Theory, Nauka, Moscow.