We use an averaging technique to estimate the periodic points for attractors near the transition to chaos via period doubling and quasiperiodicity in two experimental systems. Using the averaged experimental data we then evaluate the trajectory scaling functions for both routes to chaos.
Numerous physical systems with two competing frequencies exhibit frequency locking and chaos associated with quasiperiodicity. In this paper we review certain universal aspects of the quasiperiodic route to chaos by making use of the standard circle map. Particular attention is paid to the golden mean and silver mean with a view to comparison with experimental work. (c) 1996 American Institute of Physics.
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