Chaos in the Duffing Equation
β Scribed by F. Battelli; K.J. Palmer
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 700 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study equilibrium solutions for the problem Using a shooting method we find solutions for all nonzero e: For small e we add to the solutions found by previous authors, especially Angenent, Mallet-Paret and Peletier, and Hale and Sakamoto, and also give new elementary ode proofs of their results.
The chaotic behavior of Duffing-Rayleigh oscillator under harmonic external excitation is investigated. Melnikov technique is used to detected the necessary conditions for chaotic motion of this deterministic system. The results show that the shape of the basin boundaries of attraction are fractals