On construction of the effective potential in singular cases

Regular and Chaotic Dynamics

Volumn 5, Issue 2, 2000, Pages 219-224

  Karapetyan, A V ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34250158599     PISSN: 15603547     EISSN: 14684845     Source Type: Journal    
DOI: 10.1070/RD2000v005n02ABEH000144     Document Type: Article

References (12)

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2. E. J. Routh. The Advanced Part of a Treatise on the Dynamics of a System of Rigid Bodies. MacMillan and Co. London, 1884.
3. L. Salvadori. Un Osservazione su di un Criteria di Stabilita del Routh. Rend. Accad. Sci. Fis. Math. Napoly, IV, 20, 1953, P. 267-272.
4. L. Salvadori. Sull' Estensione di Sistemi Dissipativi del Criterio di Stabilita del Routh. Ric. Mat., 15, 1966, P. 162-167.
5. S. Smale. Topology and Mechanics. Invent. Math., 10, 1970, P. 305-311;
6. S. Smale. Invent. Math., 11, 1970, P. 45-64.
7. A. V. Karapetyan and V. V. Rumyantsev. Stability of Conservative and Dissipative Systems. Appl. Mech. Soviet Reviews, 1: Stability and Anal. Mech. Hemisphere. New York, 1990, P. 3-144.
8. A. V. Karapetyan. The Routh Theorem and its Extensions. Colloq. Math. Soc. Janos Bolyai, 53: Qualitative Theory of Diff. Eq. North Holland. Amsterdam and New York, 1990, P. 271-290.
9. A. V. Karapetyan. Specific Features of the Application of Routh's Theory to Systems with Differential Constraints. J. Appl. Math. Mech. (PMM), 58, 1994, P. 387-392.
10. A. V. Karapetyan. First Integrals, Invariant Sets, and Bifurcations in Dissipative Systems. Regular and Chaotic Dynamics, 2, 1997, P. 75-80.
11. A. V. Karapetyan. Invariant Sets of Mechanical Systems. Modern Methods of Analytical Mechanics and their Applications. CISM Courses and Lectures, 387. Springer-Verlag. Wien and New York, 1998, P. 153-210.
12. A. V. Karapetyan. Stability of Steady Motions. Editorial URSS. Moscow, 1998. (in Russian)