A qualitative study of the solutions to the differential equation ẍ + (1 + ẋ2)x = 0

Journal of Sound and Vibration

Volumn 283, Issue 1-2, 2005, Pages 475-477

  Beatty, John ^a   Mickens, Ronald E ^a  

^a CLARK ATLANTA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PERTURBATION TECHNIQUES; PHASE SPACE METHODS; PROBLEM SOLVING; TOPOLOGY;

EQUILIBRIUM SOLUTIONS; HARMONIC BALANCE METHODS; PHASE-SPACE METHODS; PLANAR DYNAMIC SYSTEMS;

DIFFERENTIAL EQUATIONS;

EID: 15344338815     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsv.2004.05.009     Document Type: Article

References (4)

1. A. Chatterjee Harmonic balance based averaging approximate realizations of an asymptotic technique Nonlinear Dynamics 32 2003 323 343
2. R.E. Mickens Oscillations in Planar Dynamic Systems 1996 World Scientific Singapore
3. M. Humi, and W. Miller Second Course in Ordinary Differential Equations for Scientists and Engineers 1988 Springer New York
4. R.E. Mickens, and D. Jackson Oscillations in systems having velocity dependent frequencies Journal of Sound and Vibration 223 1999 329 333