Editorial: Recurrence Analysis of Complex Systems Dynamics
نویسندگان
چکیده
منابع مشابه
Recurrence analysis of strange nonchaotic dynamics in driven excitable systems.
Numerous studies have shown that strange nonchaotic attractors (SNAs) can be observed generally in quasiperiodically forced systems. These systems could be one- or high-dimensional maps, continuous-time systems, or experimental models. Recently introduced measures of complexity based on recurrence plots can detect the transitions from quasiperiodic to chaotic motion via SNAs in the previously c...
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Recurrence is a fundamental property of dynamical systems, which can be exploited to characterise the system’s behaviour in phase space.A powerful tool for their visualisation and analysis called recurrence plotwas introduced in the late 1980’s. This report is a comprehensive overview covering recurrence based methods and their applications with an emphasis on recent developments. After a brief...
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With the emergence of Systems Biology, there is a greater realization that the whole behavior of a living system may not be simply described as the sum of its elements. To represent a living system using mathematical principles, practical quantities with units are required. Quantities are not only the bridge between mathematical description and biological observations; they often stand as essen...
متن کاملRecurrence analysis of strange nonchaotic dynamics.
We present methods to detect the transitions from quasiperiodic to chaotic motion via strange nonchaotic attractors (SNAs). These procedures are based on the time needed by the system to recur to a previously visited state and a quantification of the synchronization of trajectories on SNAs. The applicability of these techniques is demonstrated by detecting the transition to SNAs or the transiti...
متن کاملIdentifying the dynamics of complex spatio-temporal systems by spatial recurrence properties.
Complex spatio-temporal systems may exhibit irregular behaviors when driven far from equilibrium. Reaction-diffusion systems often lead to the formation of patterns and spatio-temporal chaos. When a limited number of observations is available, the reconstruction and identification of complex dynamical regimes become challenging problems. A method based on spatial recurrence properties is propos...
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ژورنال
عنوان ژورنال: Frontiers in Applied Mathematics and Statistics
سال: 2020
ISSN: 2297-4687
DOI: 10.3389/fams.2020.00033