In terms of contracting and expanding foliations the two-dimensional Tél map is decomposed into two coupled one-dimensional maps. Symbolic sequences are assigned to the two classes of foliations, and their ordering is discussed. The pruning front is constructed. A necessary and sufficient condition for admissible sequences is proposed.
Abstract
In terms of contracting and expanding foliations the two-dimensional Tél map is decomposed into two coupled one-dimensional maps. Symbolic sequences are assigned to the two classes of foliations, and their ordering is discussed. The pruning front is constructed. A necessary and sufficient condition for admissible sequences is proposed.
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] M. Hénon, Commun. Math. Phys. 50(1976)69.
[2] R. Lozi, J. Phys. (Paris) 39C(1978)9; in Intrinsic Stochastisity in Plasmas, ed. by G. Lava1 and D. Gresillon. Edition de Physique, Orsay (1979).
[3] T. Tél, Phys. Lett. 97A(1983)219.
[4] G. D'Alessandro and A. Politi, Phys. Rev. Lett. 64 (1990)1069.
[5] J.M. Greene, in Long-Time Prediction in Dynamics, ed. by W. Horton, L. Reichl and V. Szebehely. Wiley, New York (1983); Y. Gu, Phys. Lett. 114A(1987)340.
[6] P. Cvitanovit, G. H. Gunaratne and I. Procaccia, Phys. Rev. A38(1988)1503.
[7] Wei-Mou Zheng, Chaos, Solitons & Fractals, 1(1991)243.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
基金
National Natural Science Foundation of China.
{{custom_fund}}
PDF(357 KB)
