Isolating Blocks for Periodic Orbits
β Scribed by M. A. Bertolim; K. A. de Rezende; O. Manzoli Neto
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 461 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0925-4668
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π SIMILAR VOLUMES
In this paper, we define the observer design problem for periodic orbits of nonlinear systems and solve the exponential observer design problem by geometric methods. First, we obtain necessary and sufficient conditions for local exponential observers for periodic orbits that are Lyapunov stable. We
We prove that if the multipliers of the repelling periodic orbits of a complex polynomial grow at least like n 5+Ξ΅ with the period, for some Ξ΅ > 0, then the Julia set of the polynomial is locally connected when it is connected. As a consequence for a polynomial the presence of a Cremer cycle implies