563 research outputs found
Projective synchronization in fractional order chaotic systems and its control
The chaotic dynamics of fractional (non-integer) order systems have begun to
attract much attention in recent years. In this paper, we study the projective
synchronization in two coupled fractional order chaotic oscillators. It is
shown that projective synchronization can also exist in coupled fractional
order chaotic systems. A simple feedback control method for controlling the
scaling factor onto a desired value is also presented.Comment: 6 pages, 2 figure
Stochastic Synchronization of Genetic Oscillator Networks
The study of synchronization among genetic oscillators is essential for the
understanding of the rhythmic phenomena of living organisms at both molecular
and cellular levels. Genetic networks are intrinsically noisy due to natural
random intra- and inter-cellular fluctuations. Therefore, it is important to
study the effects of noise perturbation on the synchronous dynamics of genetic
oscillators. From the synthetic biology viewpoint, it is also important to
implement biological systems that minimizing the negative influence of the
perturbations. In this paper, based on systems biology approach, we provide a
general theoretical result on the synchronization of genetic oscillators with
stochastic perturbations. By exploiting the specific properties of many genetic
oscillator models, we provide an easy-verified sufficient condition for the
stochastic synchronization of coupled genetic oscillators, based on the Lur'e
system approach in control theory. A design principle for minimizing the
influence of noise is also presented. To demonstrate the effectiveness of our
theoretical results, a population of coupled repressillators is adopted as a
numerical example. In summary, we present an efficient theoretical method for
analyzing the synchronization of genetic oscillator networks, which is helpful
for understanding and testing the synchronization phenomena in biological
organisms. Besides, the results are actually applicable to general oscillator
networks.Comment: 14 pages, 4 figure
The Impact of Physical Exercise on Adolescent Academic Performance: An Empirical Analysis Based on the China Education Panel Survey 2014-2015
Due to the traditional idea of “academic development outweighing physical activity” and the public misunderstanding of the effect of physical exercise on student academic performance, physical exercise is typically given the lowest priority in Chinese educational system. This has substantially restricted the time allotted to physical activity in teenagers, posing a negative impact on adolescent physical and mental health. This article is a systematic analysis of the influence of physical exercise on teenager academic achievement and the potential influence mechanism, based on data from the China Education Panel Survey 2014-2015
Soft Consistency Reconstruction: A Robust 1-bit Compressive Sensing Algorithm
A class of recovering algorithms for 1-bit compressive sensing (CS) named
Soft Consistency Reconstructions (SCRs) are proposed. Recognizing that CS
recovery is essentially an optimization problem, we endeavor to improve the
characteristics of the objective function under noisy environments. With a
family of re-designed consistency criteria, SCRs achieve remarkable
counter-noise performance gain over the existing counterparts, thus acquiring
the desired robustness in many real-world applications. The benefits of soft
decisions are exemplified through structural analysis of the objective
function, with intuition described for better understanding. As expected,
through comparisons with existing methods in simulations, SCRs demonstrate
preferable robustness against noise in low signal-to-noise ratio (SNR) regime,
while maintaining comparable performance in high SNR regime
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