Preliminary analytical and numerical investigations of a van der Pol type oscillator having discontinuous dependence on the velocity

Journal of Sound and Vibration

Volumn 279, Issue 1-2, 2005, Pages 519-523

  Mickens, R E ^a   Oyedeji, K ^b   Rucker, S A ^a  

^a CLARK ATLANTA UNIVERSITY   (United States)

^b MOREHOUSE COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PARAMETER ESTIMATION;

DISCONTINOUS DEPENDENCE; FIRST-ORDER SYSTEM; PHASE SPACE; VAN DER POL TYPE OSCILLATORS;

OSCILLATIONS;

EID: 8344232366     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsv.2004.01.047     Document Type: Article

References (4)

1. A.H. Nayfeh, Perturbation Methods, Wiley, New York, 1973.
2. R.E. Mickens, An Introduction to Nonlinear Oscillations, Cambridge University Press, New York, 1981.
3. R.E. Mickens, Nonstandard Finite Difference Models of Differential Equations, World Scientific, River Edge, NJ, 1994.
4. S.H. Strogatz, Nonlinear Dynamics and Chaos, Addison-Wesley, Reading, MA, 1994.