A phase space analysis of a non-linear oscillator equation

Journal of Sound and Vibration

Volumn 204, Issue 3, 1997, Pages 556-559

  Mickens, R E ^a   Semwogerere, D ^a  

^a CLARK ATLANTA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; MATHEMATICAL MODELS; PHASE SPACE METHODS; VIBRATIONS (MECHANICAL);

NONLINEAR OSCILLATORY SYSTEMS;

OSCILLATORS (MECHANICAL);

EID: 0031190119     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0930     Document Type: Editorial

References (8)

1. M. N. HAMDAN and N. H. SHABANEH 1997 Journal of Sound and Vibration. On the period of large amplitude free vibration of conservation autonomous oscillators with static and inertia type cubic nonlinearities.
2. R. E. MICKENS 1996 Oscillations in Planar Dynamic Systems. Singapore: World Scientific. See Chapter 4 and Appendix I.
3. T. D. BURTON and M. N. HAMDEN 1983 Journal of Sound and Vibration 87, 543-554. Analysis of nonlinear autonomous conservative oscillators by a time transformation method.
4. L. EDELSTEIN-KESHET 1988 Mathematical Models in Biology. New York: McGraw-Hill. See Chapter 5.
5. V. V. NEMYTSKII and V. V. STEPANOV 1960 Qualitative Theory of Differential Equations. Princeton, New Jersey: Princeton University Press. See pp. 133-134.
6. S. H. STROGATZ 1994 Nonlinear Dynamics and Chaos. Reading, Massachusetts: Addison-Wesley. See p. 164, Theorem 6.6.1.
7. J. B. MARION 1970 Classical Dynamics of Particles and Systems. New York: Academic Press; second edition. See section 5.3.
8. S. L. ROSS 1964 Differential Equations. Waltham, Massachusetts: Blaisdell. See section 13.2.