It is well known that non-periodic behavior is one of the most puzzling characteristics of chaotic oscillators. So far chaotic dynamical systems have been investigated in Euclidean spaces. In this paper, the concept of non-autonomous dynamical systems and that of Hausdor! phase spaces are proposed.
β¦ LIBER β¦
The periodicity of the chaotic motion of a tension-slack oscillator in hausdorff metric spaces
β Scribed by L.Y. Lu; Z.H. Lu; Z.Y. Shi
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 421 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0093-6413
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
THE PERIODICITY OF CHAOTIC IMPACT OSCILL
β
L.Y. LU; Z.H. LU
π
Article
π
2000
π
Elsevier Science
π
English
β 215 KB
CHAOTIC MOTION IN THE GENERIC SEPARATRIX
β
A.C.J. LUO
π
Article
π
2001
π
Elsevier Science
π
English
β 378 KB
The resonant conditions for the Mathieu}Du$ng oscillator are determined, and the resonant orders for the inside and outside of the generic separatrix are (M : 1) and (2M : 1) respectively. The excitation strength for the onset of a speci"c resonance in the generic separatrix band is predicted analyt