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Rojdestvenski, I.; Cottam, M.G.; Oquist, G.; Huner, N. - In: Physica A: Statistical Mechanics and its Applications 320 (2003) C, pp. 318-328

The definition of complexity, simultaneously introduced by Kolmogorov and Chaitin, has given a numerical measure to … deals with the complexity of most real systems, and biological objects in particular. We try to overcome this difficulty by … discussing a possible thermodynamic definition of complexity based on energy balance. The Kolmogorov–Chaitin definition of …

Persistent link: https://www.econbiz.de/10010588849

Scaling in non-stationary time series. (II). Teen birth phenomenon

Ignaccolo, M; Allegrini, P; Grigolini, P; Hamilton, P; … - In: Physica A: Statistical Mechanics and its Applications 336 (2004) 3, pp. 623-637

This paper is devoted to the problem of statistical mechanics raised by the analysis of an issue of sociological interest: the teen birth phenomenon. It is expected that these data are characterized by correlated fluctuations, reflecting the cooperative properties of the process. However, the...

Persistent link: https://www.econbiz.de/10010589302

The complexity of Chinese syntactic dependency networks

Liu, Haitao - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 12, pp. 3048-3058

power exponents, can be seen as an indicator that complexity theory can work as a means of stylistic study. The paper links …

Persistent link: https://www.econbiz.de/10010590032

Informational analysis of seismic sequences by applying the Fisher Information Measure and the Shannon entropy: An application to the 2004–2010 seismicity of Aswan area (Egypt)

Telesca, Luciano; Lovallo, Michele; Mohamed, Abuo … - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 9, pp. 2889-2897

are characterized by a level of uncertainty approximately constant with the threshold magnitude. The complexity measure … the types of seismic series, indicating an increasing complexity with the decrease of the threshold magnitude and the …

Persistent link: https://www.econbiz.de/10010590069

Diffusion entropy approach to complexity for a Hodgkin–Huxley neuron

Yang, Huijie; Zhao, Fangcui; Zhang, Wei; Li, Zhongnan - In: Physica A: Statistical Mechanics and its Applications 347 (2005) C, pp. 704-710

By means of the diffusion entropy method (DE) we analyze the responses of a Hodgkin–Huxley (HH) neuron to two types of spike-train inputs. The stimuli can create a living state matter (LSM), an intermediate condition between dynamics and thermodynamics. An anomalous scaling can also be found,...

Persistent link: https://www.econbiz.de/10010590238

Conservation laws of metabolism and mortality

Azbel’, Mark Ya. - In: Physica A: Statistical Mechanics and its Applications 329 (2003) 3, pp. 436-450

Quantitatively accurate laws of metabolism and mortality, which are the same for species with different evolutionary history (e.g., humans and flies), are derived and extensively verified. Such conservation (with respect to evolution, i.e., in non-stationary and heterogeneous conditions) laws...

Persistent link: https://www.econbiz.de/10010591053

Transition to turbulence in the Reynolds’ experiment

Francisco, G.; Santos, C.R. - In: Physica A: Statistical Mechanics and its Applications 297 (2001) 1, pp. 73-78

behaviour called the Lempel–Ziv complexity. …

Persistent link: https://www.econbiz.de/10010591172

Ordinal analysis of time series

Keller, K.; Sinn, M. - In: Physica A: Statistical Mechanics and its Applications 356 (2005) 1, pp. 114-120

complexity of a system behind a time series. The permutation entropy only provides one detail of the ordinal structure of a time …

Persistent link: https://www.econbiz.de/10010591226

Complexity of hierarchical ensembles

Olemskoi, A.I.; Ostrik, V.I.; Kokhan, S.V. - In: Physica A: Statistical Mechanics and its Applications 388 (2009) 5, pp. 609-620

Within the framework of generalized combinatorial approaches, complexity is determined as a disorder measure for … hierarchical coupling, the complexity is shown to increase monotonically to the limit value that grows with tree branching. In … contrast to the temperature dependence of thermodynamic entropy, the complexity is reduced by the variance of hierarchical …

Persistent link: https://www.econbiz.de/10010591537

Research on the fractal structure in the Chinese stock market

Zhuang, Xin-tian; Huang, Xiao-yuan; Sha, Yan-li - In: Physica A: Statistical Mechanics and its Applications 333 (2004) C, pp. 293-305

Applying fractal theory, this paper probes and discusses self-similarity and scale invariance of the Chinese stock market. It analyses three kinds of scale indexes, i.e., autocorrelation index, Hurst index and the scale index on the basis of detrended fluctuation analysis (DFA) algorithm and...

Persistent link: https://www.econbiz.de/10010591555