Periodicity and chaos in a flexible crank-rocker mechanism

International Journal of Non-Linear Mechanics

Volumn 34, Issue 6, 1999, Pages 1103-1111

  Jalali, M A ^a   Mehri, B ^a,b  

^a INSTITUTE FOR ADVANCED STUDIES IN BASIC SCIENCES IASBS   (Iran)

^b SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Chaos; Non linear oscillations; Periodic solutions; Resonances

Indexed keywords

EID: 0001710510     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-7462(98)00080-8     Document Type: Article

References (8)

1. V. Berdichevsky, O. Özbek, W.W. Kim, Thermodynamics of Duffing's oscillator, ASME J. Appl. Mech. 61 (1994) 670.
2. V.M. Alekseev, Quasirandom dynamical systems I, Math. USSR Sbornik 5 (1968) 73.
3. V.M. Alekseev, Quasirandom dynamical systems II, Math. USSR Sbornik 6 (1968) 505.
4. V.M. Alekseev, Quasirandom dynamical systems III, Math. USSR Sbornik 7 (1969) 1.
5. J. Hagel, A new analytic approach to the Sitnikov problem, Celestial Mech. Dyn. Astron. 53 (1992) 267.
6. M.A. Jalali, S.H. Pourtakdoust, Regular and chaotic solutions of the Sitnikov problem near the 3/2 commensurability, Celestial Mech. Dyn. Astron. 68 (1997) 151.
7. B. Mehri, H.A. Emami-Rad, On the existence of periodic solutions of nth order differential equations, J. Differential Equations 29(2) (1978) 297.
8. V.I. Arnold, V.V. Kozlov, AI. Neishtadt, Dynamical Systems III, Mathematical Aspects of Classical and Celestial Mechanics, Springer, Berlin, 1988.