A one-dimensional map for the phase angle of a non-linear oscillator externally driven by pulses is analytically derived. It describes the dynamics of the oscillator in the regime of strong relaxation. The geometry of the map reflects both the chaotic and integrable properties of the equation with different external forces.
One dimensional Poincaré map for a nonlinear driven oscillator, analytical derivation and geometrical properties
1984
Abstract
A one-dimensional map for the phase angle of a non-linear oscillator externally driven by pulses is analytically derived. It describes the dynamics of the oscillator in the regime of strong relaxation. The geometry of the map reflects both the chaotic and integrable properties of the equation with different external forces.File in questo prodotto:
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