Towards an existence proof of MacKay's fixed point

Communications in Mathematical Physics

Volumn 188, Issue 3, 1997, Pages 723-735

  Stirnemann, Andreas ^a  

^a NONE   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031256402     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050185     Document Type: Article

References (9)

1. Eckmann, J.-P., Koch, H., Wittwer, P.: A computer-assisted proof of universality for area-preserving maps. Mem. Am. Math.Soc. ISSN 0065-9266, Volume 47, Number 289, 1984
2. Katok, A.: Periodic and Quasi-Periodic Orbits for Twist Maps. Springer Lecture Notes in Physics 179, 47-65 (1983). Reprinted in MacKay, R.S and Meiss, J. D. (ed): Hamiltonian Dynamical Systems, Bristol and Philadelphia: Adam Hilger, 1987
3. Katok, A.: Periodic and Quasi-Periodic Orbits for Twist Maps. Springer Lecture Notes in Physics 179, 47-65 (1983). Reprinted in MacKay, R.S and Meiss, J. D. (ed): Hamiltonian Dynamical Systems, Bristol and Philadelphia: Adam Hilger, 1987
4. Lanford III, O.E.: Computer-Assisted Proofs in Analysis. Proceedings of the International Congress of Mathematicians, Berkeley, California, USA, 1986
5. MacKay, R.S.: Renormalisation in area-preserving maps. Advanced series in nonlinear dynamics, Vol. 6, ISBN 981-02-1371-9, Singapore : World Scientific, (1993)
6. Stirnemann, A.: Renormalization for Golden Circles. PhD thesis, Diss. ETH No. 9843
7. Stirnemann, A.: Renormalization for Golden Circles. Commun. Math. Phys. 152, 369-431 (1993)
8. Stirnemann, A.: Existence of the Siegel Disc Renormalization Fixed Point. Nonlinearity 7, 959-974 (1994)
9. Stirnemann, A.: A Step Towards an Existence Proof of MacKay's Fixed Point. Preprint 95-031, Mathematics Department, University of Edinburgh, 1995