期刊
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
卷 369, 期 1935, 页码 425-438出版社
ROYAL SOC
DOI: 10.1098/rsta.2010.0281
关键词
nonlinear dynamics; time-delayed systems; complexity; time-series analysis
资金
- Ministerio de Ciencia e Innovacion, Spain [FIS2009-13360]
- Agencia de Gestio d'Ajuts Universitaris i de Recerca (AGAUR), Generalitat de Catalunya [2009 SGR 1168]
- CONICET, Argentina
- CAPES, Brazil
Statistical complexity measures are used to quantify the degree of complexity of the delayed logistic map, with linear and nonlinear feedback. We employ two methods for calculating the complexity measures, one with the 'histogram-based' probability distribution function and the other one with ordinal patterns. We show that these methods provide complementary information about the complexity of the delay-induced dynamics: there are parameter regions where the histogram-based complexity is zero while the ordinal pattern complexity is not, and vice versa. We also show that the time series generated from the nonlinear delayed logistic map can present zero missing or forbidden patterns, i.e. all possible ordinal patterns are realized into orbits.
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