<< Opposite to standard oscillators such as the (an-)harmonic oscillator the SSO (superexponential self-interacting oscillator) combines both scattering and confined periodic motion with an exponentially varying nonlinearity. The SSO potential exhibits a transition point with a hierarchy of singularities of logarithmic and power law character leaving their fingerprints in the agglomeration of its phase space curves. The period of the SSO consequently undergoes a crossover from decreasing linear to a nonlinearly increasing behaviour when passing the transition energy. (AA) explore its dynamics and show that the crossover involves a kick-like behaviour. >>
Peter Schmelcher. Superexponential Self-Interacting Oscillator. arXiv: 1909.09792v1 [physics.class-ph] Sep 21, 2019. https://arxiv.org/abs/1909.09792
