The twin-well potential oscillator numerical experiment -- from Wolfram Library Archive

Title

The twin-well potential oscillator numerical experiment

Author

A. Uscilowska

Conference

2004 International Mathematica Symposium

Conference location

Banff, Canada

Description

The response of highly non-linear oscillators of the form (1+a)a+aaa+ga=-a, where y=y(x) and u=u(x), g is gravity acceleration, is considered. The paper focusses on the phenomenon of steady-state oscillators exhibited by the twin-well potential system. The influence of the functions y=y(x) and u=u(x) on the oscillator behaviour is considered. The sensitivity to initial conditions is considered, as is the precision of the calculations.

Subjects

	Applied Mathematics > Numerical Methods
	Mathematics > Calculus and Analysis > Differential Equations

Keywords

twin-well oscillator, steady-state oscillators, twin-well potential