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Optimising threshold levels for information transmission in binary threshold networks: Independent multiplicative noise on each threshold

Zhou, Bingchang; McDonnell, Mark D. - In: Physica A: Statistical Mechanics and its Applications 419 (2015) C, pp. 659-667

uniform noise is considered. Similar to previous results for additive noise, we find a bifurcation phenomenon in the optimal … threshold values, as the noise intensity changes. This occurs when the number of threshold units is greater than one. We also … study the optimal thresholds for combined additive and multiplicative Gaussian noise, and find that all threshold levels …

Persistent link: https://www.econbiz.de/10011117855

Droplet shape fluctuations in agitated emulsions—Beyond the dilute limit

Frenkel, Gad - In: Physica A: Statistical Mechanics and its Applications 427 (2015) C, pp. 251-261

The paper investigates the interaction between dispersed droplets in an emulsion under random stirring of the host fluid. The main interest is to examine the autocorrelation of the shape fluctuations in such randomly stirred host fluids, beyond the dilute limit regime. Keeping expressions to...

Persistent link: https://www.econbiz.de/10011209645

Modeling intrinsic noise in random Boolean networks

Hung, Yao-Chen; Lin, Chai-Yu - In: Physica A: Statistical Mechanics and its Applications 395 (2014) C, pp. 121-127

Noise has crucial effects on biological processes, chemical reactions, and various chaotic systems. This study explores … the dynamical properties of noise in random Boolean networks, in which the stochasticity may cause significant deviations … from deterministic descriptions. Such noise is intrinsic and results from the discrete dynamics of finite populations. By …

Persistent link: https://www.econbiz.de/10010730330

Evolution of a stochastic system within the framework of Tsallis statistics

Kharchenko, Dmitrii O.; Kharchenko, Vasilii O. - In: Physica A: Statistical Mechanics and its Applications 354 (2005) C, pp. 262-280

to multiplicative noise-induced transitions. The scaling laws of motion are defined to identify an anomalous time … behavior of the system with multiplicative noise. …

Persistent link: https://www.econbiz.de/10010871722

1/f fluctuations under acoustic cavitation of liquids

Skokov, V.N.; Koverda, V.P.; Reshetnikov, A.V.; … - In: Physica A: Statistical Mechanics and its Applications 364 (2006) C, pp. 63-69

A regime of a generation of fluctuations with 1/f power spectra under cavitation of liquids in an ultrasonic field has been found experimentally. The acoustic cavitation is accompanied by the formation of various spatial structures and scale-invariant distribution functions of fluctuations. It...

Persistent link: https://www.econbiz.de/10010872153

Impact of observational incompleteness on the structural properties of protein interaction networks

Kuhnt, Mathias; Glauche, Ingmar; Greiner, Martin - In: Physica A: Statistical Mechanics and its Applications 373 (2007) C, pp. 759-769

The observed structure of protein interaction networks is corrupted by many false positive/negative links. This observational incompleteness is abstracted as random link removal and a specific, experimentally motivated (spoke) link rearrangement. Their impact on the structural properties of...

Persistent link: https://www.econbiz.de/10010872538

Synchronization of self-sustained oscillators by common white noise

Goldobin, D.S.; Pikovsky, A.S. - In: Physica A: Statistical Mechanics and its Applications 351 (2005) 1, pp. 126-132

We study the stability of self-sustained oscillations under the influence of external noise. For small-noise amplitude … calculation of the maximal Lyapunov exponent. We demonstrate that for small noise the exponent is negative, which corresponds to …

Persistent link: https://www.econbiz.de/10010872950

Stochastic resonance, reverse-resonance and stochastic multi-resonance in an underdamped quartic double-well potential with noise and delay

Du, Lu-Chun; Mei, Dong-Cheng - In: Physica A: Statistical Mechanics and its Applications 390 (2011) 20, pp. 3262-3266

The stochastic resonance in an underdamped quartic double-well potential with time delayed feedback is studied numerically. The signal power amplification is employed to characterize the stochastic resonance of the system. Simulation results indicate that: (i) for moderate frequency of the...

Persistent link: https://www.econbiz.de/10010872988

Spatio-temporal conjecture for diffusion

Vainstein, Mendeli H.; Morgado, Rafael; Oliveira, … - In: Physica A: Statistical Mechanics and its Applications 357 (2005) 1, pp. 109-114

We present here a conjecture about the equivalence between the noise density of states of a system governed by a …

Persistent link: https://www.econbiz.de/10010873114

Pattern selection in a phase field model for directional solidification

Costa Filho, R.N.; Kosterlitz, J.M.; Granato, Enzo - In: Physica A: Statistical Mechanics and its Applications 354 (2005) C, pp. 333-343

A symmetric phase field model is used to study wavelength selection in two dimensions. We study the problem in a finite system using a two-pronged approach. First we construct an action and, minimizing this, we obtain the most probable configuration of the system, which we identify with the...

Persistent link: https://www.econbiz.de/10010873216