Regular and chaotic motions of mathematical pendulums

International Applied Mechanics

Volumn 37, Issue 3, 2001, Pages 407-413

  Martynyuk, A A ^a   Nikitina, N V ^a  

^a S P TIMOSHENKO INSTITUTE OF MECHANICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035537346     PISSN: 10637095     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011340116942     Document Type: Article

References (9)

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3. 3. V. Moauro and P. Negrini, "Chaotic paths of a double-link mathematical pendulum," Prikl. Mat. Mekh., 62, No. 5, 892-895 (1998).
4. 4. V. V. Nemytskii and V. V. Stepanov, The Qualitative Theory of Differential Equations [in Russian], Gostekhteorizdat, Moscow (1949).
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6. 6. A. M. Samoilenko, Elements of the Mathematical Theory of Multifrequency Vibrations. Invariant Tori [in Russian], Nauka, Moscow (1987).
7. 7. P. Holmes and F. C. Moon, "Strange attractors and chaos in nonlinear mechanics," Trans. ASME, J. Mech., 50, 1021-1032 (1983).
8. 8. A. A. Martynyuk and N. V. Nikitina, "Dynamic principle of symmetry," Int. Appl. Mech., 34, No. 11, 1158-1164 (1998).
9. 9. A. A. Martynyuk and N. V. Nikitina, "The theory of motion of a double mathematical pendulum," Int. Appl. Mech., 36, No. 9, 1252-1258 (2000).