Universal Transition from Quasiperiodicity to Chaos in Dissipative Systems
- 12 July 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 49 (2) , 132-135
- https://doi.org/10.1103/physrevlett.49.132
Abstract
An exact renormalization-group transformation is developed which describes how the transition to chaos may occur in a universal manner if the frequency ratio in the quasi-periodic regime is held fixed. The principal low-frequency peaks in an experimental spectrum are universally determined at the transition. Our approach is a natural extension of Kolmogorov-Arnold-Moser theory to strong coupling.Keywords
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