Towards a kneading theory for Lozi mappings I: A solution of the pruning front conjecture and the first tangency problem

Nonlinearity

Volumn 10, Issue 3, 1997, Pages 731-747

  Ishii, Yutaka ^a,b  

^a UNIVERSITY OF TOKYO   (Japan)

^b Université Paris Sud 11   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007156370     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/10/3/008     Document Type: Article

References (12)

1. Cvitanović P 1991 Periodic orbits as the skeleton of classical and quantum chaos Physica D 51 138-51
2. Cvitanović P, Gunaratne G H and Procaccia I 1988 Topological and metric properties of Hénon-type strange attractors Phys. Rev. A 38 1503-20
3. Devaney R and Nitecki Z 1979 Shift automorphisms in the Hénon mapping Commun. Math. Phys. 67 137-46
4. Guckenheimer J 1979 Sensitive dependence to initial conditions for one dimensional maps. Commun. Math. Phys. 70 133-60
5. Ishii Y 1994 Towards the kneading theory for Lozi attractors Masters Thesis Kyoto University
6. Ishii Y J 1996 Towards a kneading theory for Lozi mappings II: Monotonicity of the topological entropy and Hausdorff dimension of attractors Preprint Paris
7. Lozi R 1978 Un attracteur étrange(?) du type attracteur de Hénon J. Physique (Paris) 39 (Coll. C5) 9-10
8. Milnor J 1994 Private communication
9. Milnor J and Thurston W 1977 On iterated maps of the interval Preprint Princeton University and published in 1988 On iterated maps of the interval Dynamical Systems (Lecture Notes in Mathematics 1342) ed J C Alexander (New York: Springer) pp 465-563
10. Milnor J and Thurston W 1977 On iterated maps of the interval Preprint Princeton University and published in 1988 On iterated maps of the interval Dynamical Systems (Lecture Notes in Mathematics 1342) ed J C Alexander (New York: Springer) pp 465-563
11. Misiurewicz M 1980 Strange attractors for the Lozi mappings Nonlinear Dynamics ed R G Helleman (New York: New York Academy of Sciences) pp 348-358
12. Rychlik M 1983 Invariant measures and the variational principle for Lozi mappings PhD Dissertation University of California at Berkeley