Detecting Chronotaxic Systems from Single-Variable Time Series with Separable Amplitude and Phase
نویسندگان
چکیده
منابع مشابه
Detecting Chronotaxic Systems from Single-Variable Time Series with Separable Amplitude and Phase
The recent introduction of chronotaxic systems provides the means to describe nonautonomous systems with stable yet time-varying frequencies which are resistant to continuous external perturbations. This approach facilitates realistic characterization of the oscillations observed in living systems, including the observation of transitions in dynamics which were not considered previously. The no...
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Until recently, deterministic nonautonomous oscillatory systems with stable amplitudes and time-varying frequencies were not recognized as such and have often been mistreated as stochastic. These systems, named chronotaxic, were introduced in Phys. Rev. Lett. 111, 024101 (2013). In contrast to conventional limit cycle models of self-sustained oscillators, these systems posses a time-dependent p...
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Following the development of a new class of self-sustained oscillators with a time-varying but stable frequency, the inverse approach to these systems is now formulated. We show how observed data arranged in a single-variable time series can be used to recognize such systems. This approach makes use of time-frequency domain information using the wavelet transform as well as the recently develop...
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AND MOTIVATION Many examples exist in nature where the output of a dynamic system is a spiky time series. Well known examples of such systems include the Rössler system [1], which was developed to model the Earth’s magnetic field, the Hindmarsh-Rose [2, 3] system which has been proposed to model neuron membrane electrical activity, Chay-Keizer equations which model pancreatic cells, and many ot...
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ژورنال
عنوان ژورنال: Entropy
سال: 2015
ISSN: 1099-4300
DOI: 10.3390/e17064413