Complex Ginzburg-Landau equation for self-oscillatory systems under amplitude modulated forcing in a 1:1 resonance

摘要

The dynamics of self-oscillatory extended systems, resonantly forced at afrequency close to that of the natural oscillations (1:1 resonance), is shownto be universally described by a complex Ginzburg-Landau equation containing aninhomogeneous term. The case of amplitude modulated forcing is considered,which generalizes previous studies. Application to the two-frequency forcing ina 1:1 resonance is considered as an example.