NON-AREA-PRESERVING DIRECTIONS FROM AREA-PRESERVING GOLDEN CIRCLE FIXED-POINTS
UNSPECIFIED. (1993) NON-AREA-PRESERVING DIRECTIONS FROM AREA-PRESERVING GOLDEN CIRCLE FIXED-POINTS. NONLINEARITY, 6 (5). pp. 799-817. ISSN 0951-7715Full text not available from this repository.
The non-area-preserving spectrum of the renormalization operator for golden circles is computed at area-preserving fixed points in terms of the area-preserving spectrum. Under reasonable assumptions on the 'critical' fixed point, it follows that the only essential unstable non-area-preserving direction from the fixed point is the one already known with eigenvalue golden ratio, corresponding to perturbations with constant Jacobian not equal to 1. Consequences are drawn for families of non-area-preserving maps with not necessarily constant Jacobian near 1. Furthermore, the result lends support to a larger renormalization picture which unites those for circle maps and area-preserving maps.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics
Q Science > QC Physics
|Journal or Publication Title:||NONLINEARITY|
|Publisher:||IOP PUBLISHING LTD|
|Number of Pages:||19|
|Page Range:||pp. 799-817|
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