2009/08/16 by Vladan Panković, Panković, Vladan
Computer Science · Economics, Econometrics and Finance · Physics and Astronomy · #Chaos control and synchronization #Complex Systems and Time Series Analysis #FOS: Physical sciences #Neural Networks and Applications #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.0908.2254
openalex publication_date 2009/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
In this work a classical linear harmonic oscillator, evolving during a small time interval (so that simple non-linear, second order Taylor approximation of the dynamics is satisfied) and restarting (by a mechanism) in a strictly chosen series of the time moments, is considered. It is shown that given linear oscillator behaves dynamically analogously to discrete logistic equation, which, as an especial case, includes chaotic (fractal) behaviour too. (All this refers too on the analogous quantum systems, e.g. ammonia molecule with simple vibration dynamics of the atoms many times perturbed by measurements in strictly defined time moments.