Period doubling in four-dimensional symplectic maps
- 1 November 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 34 (5) , 4325-4332
- https://doi.org/10.1103/physreva.34.4325
Abstract
A complete period-doubling sequence in four-dimensional symplectic maps is determined by following a special bifurcation pass in the parameter plane. Stability diagrams for lower periods in the parameter plane are shown. Within numerical accuracy, there exist certain relations between the scaling exponents of the period-doubling sequence.Keywords
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