Phase lock and rotational motion of a parametric pendulum
Grzegorz Litak, Marek Borowiec, Marian Wiercigroch
Abstract
The effect of noise on a rotational mode of a pendulum excited kinematically in vertical direction has been analyzed. We have shown that for a weak noise transitions from oscillations to rotations and vice versa are possible. For a moderate noise level dynamics of the system is governed by a combination of the excitation amplitude and stochastic component. Consequently for stronger noise the rotational solution as an independent sychonized mode has vanished.
Create a lesson
Related papers
Exploring continuous beta-ensembles: A Python implementation for random matrix spectral statistics
Dorin Weissman
Mutual information-entropy plane: a new quantifier space for time series analysis
Gonzalez Acosta Gaspar, Kowalski Andrés M
Characterization of Chaotic Evolution in Quantum Systems Induced by Random Hermitian Matrices
Arkady Kurnosov, Sven Gnutzmann, Uzy Smilansky
Noise Effects on Ordinal Pattern Statistics via Majorization
Facundo Sapienza
Synchronization induces Bell violations in a model of walking droplets
Álvaro G. López, Rahil N. Valani, Yuanmei Li et al.
Identifying the structure of dynamical transitions in logistic map
Aswin Balaji, Shruti Tandon, Shwetha Viswesh et al.