Chaotic Polynomial Automorphisms: Counterexamples to Several Conjectures

Advances in Applied Mathematics

Volumn 18, Issue 3, 1997, Pages 382-388

  Van Den Essen, Arno ^a   Hubbers, Engelbert ^a  

^a RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001372352     PISSN: 01968858     EISSN: None     Source Type: Journal    
DOI: 10.1006/aama.1996.0516     Document Type: Article

References (8)

1. Arnold V. I. Geometrical methods in the theory of ordinary differential equations. Grundlehren Math. Wiss. 250:1983.
2. A. Cima, A. Gasull, F. Mañosas, 1995, Univ. Autónoma de Barcelona.
3. B. Deng, 1995, Automorphic conjugation, global attractor, and the Jacobian conjecture.
4. Deng B., Meisters G. H., Zampieri G. Conjugation for polynomial mappings. Z. Angew. Math. Phys. 46:1995;872-882.
5. van den Essen A. R. P. A counterexample to a conjecture of Meisters. Automorphisms of Affine Spaces. 1995;Kluwer Academic, Dordrecht. p. 231-234.
6. van den Essen A. R. P. Automorphisms of Affine Spaces. 1995;Kluwer Academic, Dordrecht.
7. Gorni G., Zampieri G. On the existence of global analytic conjugations for polynomial mappings of Yagzhev type. J. of Math. Analysis and Applications. 201:1996;880-896.
8. Meisters G. H. Polymorphisms conjugate to dilations. van den Essen A. R. P. Automorphisms of Affine Spaces. 1995;67-88 Kluwer Academic, Dordrecht.