Chaotic boundary of a Hamiltonial map
β Scribed by Ian C. Percival
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 571 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0167-2789
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π SIMILAR VOLUMES
Let \(f\) be a continuous map of the compact unit interval \(l=[0,1]\), such that \(f^{2}\), the second iterate of \(f\), is topologically transitive in \(I\). If for some \(x\) and \(y\) in \(I\) and any \(t\) in \(I\) there exists \(\lim (1 / n) \#\left\{i \leqslant n ;\left|f^{i}(x)-f^{i}(y)\righ
Sensitive dependence on initial conditions is widely understood as being the central idea of chaos. We first give sufficient conditions (both topological and ergodic) on an endomorphism to ensure the sensitivity property. Then, a strong sensitivity concept is introduced. Sufficient conditions on a t