On the Period-Adding Phenomena at the Frequency Locking in a One-Dimensional Mapping
Open Access
- 1 August 1982
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 68 (2) , 669-672
- https://doi.org/10.1143/ptp.68.669
Abstract
Frequency locking at the transition from torus to chaos is studied with the use of the map θn+1= θn+0.25+A ·sin (2 πθn) (mod 1). We find period-adding phenomena and various critical exponents, which are explained by extending Pomeau and Manneville's theory of intermittency.Keywords
This publication has 2 references indexed in Scilit:
- Quantitative universality for a class of nonlinear transformationsJournal of Statistical Physics, 1978
- Frequency Entrainment of a Forced van der Pol OscillatorStudies in Applied Mathematics, 1978