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The twin-well potential oscillator numerical experiment

A. Uscilowska

2004 International Mathematica Symposium
Conference location

Banff, Canada

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.

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

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