Coexisting attractors of a simple mechanical system L.Jezequel
Abstract
We analyse a mechanical nonlinear system, with periodic parametric excitation, under conditions where multiple attractors coexist. We draw the global diagram of bifurcation for the main periodic solutions numerically found, and we study the type of transition to chaos for all of these periodic solutions, as the excitation frequency is varied. The routes to chaos are found to be the cascade of period doublings and intermittency. Basins of attraction of all the attractors are drawn and various types of crises of the chaotic attractors are studied.
Fields of Study & Subjects
Chaos control and synchronization
Mathematical Dynamics and Fractals
Advanced Differential Equations and Dynamical Systems
Publication details
- Journal / source
- CRC Press eBooks
- Pages
- 401–406
- Publication date
- 10 February 2026
- Language
- EN
- Document type
- Book chapter