Title :
Second-order averaging of forced and coupled nonlinear oscillators
fDate :
8/1/1983 12:00:00 AM
Abstract :
The classical method of averaging is introduced through a sequence of examples. Various qualitative methods such as normally hyperbolic manifolds and energy methods are used to analyze the averaged equations in such a way that the properties are shown to persist for the actual system of differential equations.
Keywords :
Nonlinear mathematics; Nonlinear oscillators; Bifurcation; Circuit stability; Coupling circuits; Differential equations; Extraterrestrial measurements; Helium; Nonlinear equations; Oscillators; Resonance; Time measurement;
Journal_Title :
Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCS.1983.1085394
