Three-frequency resonances in dynamical systems
混沌动力学
2012-07-30 v1 动力系统
摘要
We investigate numerically and experimentally dynamical systems having three interacting frequencies: a discrete mapping (a circle map), an exactly solvable model (a system of coupled ordinary differential equations), and an experimental device (an electronic oscillator). We compare the hierarchies of three-frequency resonances we find in each of these systems. All three show similar qualitative behaviour, suggesting the existence of generic features in the parameter-space organization of three-frequency resonances.
引用
@article{arxiv.nlin/0007030,
title = {Three-frequency resonances in dynamical systems},
author = {O. Calvo and J. H. E. Cartwright and D. L. Gonzalez and O. Piro and O. Rosso},
journal= {arXiv preprint arXiv:nlin/0007030},
year = {2012}
}
备注
See home page http://lec.ugr.es/~julyan