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Effects of noise on periodic orbits of the logistic map

100%
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vol. 6
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issue 3
539-545
EN
Noise can induce an inverse period-doubling transition and chaos. The effects of noise on each periodic orbit of three different period sequences are investigated for the logistic map. It is found that the dynamical behavior of each orbit, induced by an uncorrelated Gaussian white noise, is different in the mergence transition. For an orbit of the period-six sequence, the maximum of the probability density in the presence of noise is greater than that in the absence of noise. It is also found that, under the same intensity of noise, the effects of uncorrelated Gaussian white noise and exponentially correlated colored (Gaussian) noise on the period-four sequence are different.
EN
We apply the phase field crystal method for nonequilibrium patterning to stochastic systems with an external source in which transient dynamics is essential. Considering a prototype model for a one-component periodic system subjected to external influence kind of irradiation we study properties of pattern selection processes and external noise induced pattern-forming transitions. These processes are examined by means of the structure function dynamics analysis. Nonequilibrium pattern-forming transitions are analyzed numerically.
Open Physics
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2011
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vol. 9
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issue 3
616-620
EN
The dynamical properties of a noise-driven tumor cell growth system are investigated when there exist two different kinds of time delays, in the deterministic and fluctuating forces, respectively. Using the approximation probability density approach, the delayed Fokker-Planck equation is obtained. The effects of two different time delays on the stationary probability distribution (SPD), the mean value and the mean passage time (MFPT) are discussed. It is found that the time delay τ1 in the deterministic force can enhance tumor cell number, while the time delay τ2 in the fluctuating force can induce a decrease in tumor cell numbers. On the other hand, while τ1 can hold back the extinction of tumor cells, τ2 can speed up their extinction.
EN
The authors present a case of 12-years old girl with sudden sensorineural hearing loss caused by computer adapter explosion during the storm. She denied any tinnitus and vertigo. She was admitted immediately to ENT Ward. Audiometric examination showed rigt ear deaffness. She administered vasodilatators, oxygen, Vitamin B complex, 1% xylocain, dextran, betahistin and steroids i.v. After few days she started to hear her rigt ear. Conrtol audiometric examination showed hearing in normal range. In a case of sudden deaffness is important to strart treatment as qiuck as is possible. And we should remember that new technics with nature could be dangerous to our health.
EN
The phenomenon of stochastic resonance (SR) in a tumor growth model under the presence of immune surveillance is investigated. Time delay and cross-correlation between multiplicative and additive noises are considered in the system. The signal-to-noise ratio (SNR) is calculated when periodic signal is introduced multiplicatively. Our results show that: (i) the time delay can accelerate the transition from the state of stable tumor to that of extinction, however the correlation between two noises can accelerate the transition from the state of extinction to that of stable tumor; (ii) the time delay and correlation between two noises can lead to a transition between SR and double SR in the curve of SNR as a function of additive noise intensity, however for the curve of SNR as a function of multiplicative noise intensity, the time delay can cause the SR phenomenon to disappear, and the cross-correlation between two noises can lead to a transition from SR to stochastic reverse-resonance. Finally, we compare the SR phenomenon for the multiplicative periodic signal with that for additive periodic signal in the tumor growth model with immune surveillance.
EN
This study investigated the particulate matters, noise generated and the impacts of the activities on the quarry workers. Three quarries and a control site were selected for this study. A particulate matter counter (CLJ-D particulate counter) was used to count suspended particles and a hand-held device (SL-4012 sound meter) was used to determine the noise levels at different distances away from the crushing point (0 m, 50 m, 100 m, 150 m and 200 m). A well-structured closed questionnaire was used to collect information about demographic, health implications and status of respondents working at the quarry site. Samchaise quarry has the highest total suspended particulate matter (691.82 µg/m3 and 662.19 µg/m3) for 0 m and 50 m sampling point respectively. For 100 m, 150 m and 200 m, Dortmond quarry has the highest total suspended particulate matter of 609.82 µg/m3, 501.57 µg/m3 and 450.34 µg/m3 respectively. Dortmond quarry has the highest noise level (94.90 dB and 88.70 dB respectively) at 0 m and 50 m; Meanwhile, Ebenezer quarry has the highest noise level of 82.50 dB, 79.30 dB and 74.30 dB for 100 m, 150 m and 200 m respectively. Furthermore, out of the seventy (70) respondents interviewed, 22 (31.43%) of the workers had been working for over 5 years. Although, majority of the respondents 66 (94.29%) know the health implication of working in a quarry, only few respondents 6 (8.57%) used the protective gear always. In addition, 21 (39.62%) experienced catarrh monthly, headache 19 (35.85%) weekly, eyes ache 12 (22.64%), ear ringing 7 (13.21) at least daily, body ache 19 (35.85%) daily, skin itch 25 (47.17%) daily, and visual disturbance 10 (18.87%) daily. This study has shown that the quarry workers need to be trained and educated about the impacts of their activities in the environment.
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