Distinguishing quasiperiodic dynamics from chaos in short-time series

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Y. Zou,¹ D. Pazó,² M. C. Romano,³ M. Thiel,³ and J. Kurths¹
¹Nonlinear Dynamics Group, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany
²Instituto de Física de Cantabria, IFCA (CSIC-UC), Avda. Los Castros, 39005 Santander, Spain
³Department of Physics, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom

Received 8 March 2007; published 13 July 2007

Wepropose a procedure to distinguish quasiperiodic from chaotic orbits inshort-time series, which is based on the recurrence properties inphase space. The histogram of the return times in arecurrence plot is introduced to disclose the recurrence property consistingof only three peaks imposed by Slater's theorem. Noise effectson the statistics are studied. Our approach is demonstrated tobe efficient in recognizing regular and chaotic trajectories of aHamiltonian system with mixed phase space.

URL:	http://link.aps.org/doi/10.1103/PhysRevE.76.016210
DOI:	10.1103/PhysRevE.76.016210
PACS:	05.45.-a; 95.75.Wx; 05.10.-a 05.45.-a Nonlinear dynamics and nonlinear dynamical systems 95.75.Wx Astronomical time series analysis, time variability 05.10.-a Computational methods in statistical physics and nonlinear dynamics YEAR: 2007
KEYWORDS:	chaos, random noise, phase space methods, time series

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