We propose a procedure to distinguish quasiperiodic from chaotic orbits in short-time series, which is based on the recurrence properties in phase space. The histogram of the return times in a recurrence plot is introduced to disclose the recurrence property consisting of only three peaks imposed by Slater’s theorem. Noise effects on the statistics are studied. Our approach is demonstrated to be efficient in recognizing regular and chaotic trajectories of a Hamiltonian system with mixed phase space.
|Number of pages||12|
|Journal||Physical Review. E, Statistical, Nonlinear and Soft Matter Physics|
|Publication status||Published - 13 Jul 2007|
- recurrence quantification analysis
Zou, Y., Pazo, D., Romano, M. C., Thiel, M., & Kurths, J. (2007). Distinguishing between quasiperiodic dynamics and chaos from short-time series. Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, 76, . https://doi.org/10.1103/PhysRevE.76.016210