THERMODYNAMICS OF THE QUASI-PERIODIC PARAMETER SET AT THE BORDERLINE OF CHAOS - EXPERIMENTAL RESULTS

A periodically driven relaxation-oscillator circuit is used to study experimentally the multifractal structure of the quasiperiodic parameter set on the critical line. The experimental data provide evidence of a phase transition in the thermodynamic free energy q). The experimental thermodynamics compares well with that of the sine circle map and provides strong evidence for universality in the parameter scaling at the borderline of chaos. © 1990 The American Physical Society.