Abstract
Nonlinear chemical oscillators can only exist far from equilibrium and therefore dissipate chemical energy. It has been found earlier that this dissipation can be reduced when the oscillator is driven by a periodic input, provided the driving frequency is near resonance with the autonomous oscillation. This observation, which was based on numerical experimentation is now confirmed analytically within the framework of reductive perturbation theory, i.e. for “weakly nonlinear” oscillations. The analysis explains all qualitative features of the numerical dissipation spectra, notably the enhancement of dissipation at the transition between periodic and quasiperiodic response behavior.
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