Scaling behavior in the supercritical sine circle map
- 16 March 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 58 (11) , 1059-1061
- https://doi.org/10.1103/physrevlett.58.1059
Abstract
The transition from quasiperiodicity to chaos is studied for the situation where the sine circle map becomes supercritical. The numerical results show convincingly that scaling behavior is present in this transition.Keywords
This publication has 6 references indexed in Scilit:
- Scaling for supercritical circle-maps: Numerical investigation of the onset of bistability and period doublingPhysics Letters A, 1985
- Supercritical Behavior of Disordered Orbits of a Circle MapProgress of Theoretical Physics, 1984
- Transition to chaos by interaction of resonances in dissipative systems. I. Circle mapsPhysical Review A, 1984
- Fine Structure of Phase LockingPhysical Review Letters, 1982
- Critical-point dependence of universality in maps of the intervalPhysics Letters A, 1981
- Quantitative universality for a class of nonlinear transformationsJournal of Statistical Physics, 1978