HOPF-BIFURCATION IN 4-DIMENSIONAL REVERSIBLE MAPS AND RENORMALIZATIONEQUATIONS

Citation
A. Bhowal et al., HOPF-BIFURCATION IN 4-DIMENSIONAL REVERSIBLE MAPS AND RENORMALIZATIONEQUATIONS, Physics letters. A, 179(1), 1993, pp. 9-14
Citations number
15
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
179
Issue
1
Year of publication
1993
Pages
9 - 14
Database
ISI
SICI code
0375-9601(1993)179:1<9:HI4RMA>2.0.ZU;2-D
Abstract
Exact scaling ratios are obtained for the renormalisation equations in volving the doubling operator in reversible Hopf bifurcation in four-d imensional maps, and a scaling law for the average duration of the orb its near an unstable fixed point is determined. Numerical corroboratio n is presented.