A thorough analysis on the integrability of the anharmonic oscillator with variable damping coefficients is carried out. Using PainlevΓ© analysis we find the most general form of the damping that allows for integrability of the oscillator. We present a novel method that yields exact and explicit solu
Quick Oscillations With Damping
β Scribed by Ch. G. Philos; V. A. Staikos
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 358 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
A class of n-th order (n =-1) differential equations with deviating arguments is considered and sufficient conditions are established in order that all bounded quickly oscillatory solutions (i.e. oscillatory solutions whose consecutive zeros have distance which approaches zero) tend to zero a t OD.
π SIMILAR VOLUMES
## The moments of the stochastic harmonic oscillator are examined, in the presence of linear damping. The procedures we follow are those described in earlier papers for stochastic linear systems and for the undamping case. The noise is approximated from the white noise process and has small but$nite