Published in
American Physical Society, Physical Review Letters, 2(49), p. 132-135
DOI: 10.1103/physrevlett.49.132
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Universal Transition from Quasiperiodicity to Chaos in Dissipative Systems
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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.