different types of scaling in the dynamics of period–doubling maps under external periodic driving
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2000
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Abstract
Based on the renormalization group approach developed by Kuznetsov and Pikovsky (Phys. Lett., A140, 1989, 166) several types of scaling are discussed, which can be observed in a neighborhood of Feigenbaum’s critical point at small amplitudes of the driving. The type of scaling behavior depends on a structure of binary representation of the frequency parameter: F-scaling (Feigenbaum’s) for finite binary fractions, P- and Q-scaling (periodic and quasiperiodic) for periodic binary fractions, and S-scaling (statistical) for non-periodic binary fractions. All types of scaling are illustrated by parameter-plane diagrams for the rescaled Lyapunov exponent.
| Reference Key |
ivankov2000discretedifferent
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|---|---|
| Authors | ;N. Yu. Ivank’ov;S. P. Kuznetsov |
| Journal | Journal of the American Heart Association |
| Year | 2000 |
| DOI |
10.1155/S1026022600000546
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