SPATIAL INTERMITTENCY IN AN INHOMOGENEOUS COUPLED MAP LATTICE

2002 ◽  
Vol 12 (06) ◽  
pp. 1363-1370 ◽  
Author(s):  
ASHUTOSH SHARMA ◽  
NEELIMA GUPTE
Keyword(s):  
Power Law ◽  
Length Distribution ◽  
Period Doubling ◽  
Linear Analysis ◽  
Coupled Map Lattice ◽  
Period Doubling Bifurcation ◽  
Scaling Exponent ◽  
Power Law Distribution ◽  
Periodic Behavior ◽  
Bifurcation Points

We observe purely spatial intermittency accompanied by temporally periodic behavior in an inhomogeneous lattice of coupled logistic maps where the inhomogenity appears in the form of different values of the map parameters at distinct sites. Linear analysis shows that the spatial intermittency appears in the neighborhood of tangent period doubling bifurcation points. The intermittency near the bifurcation points is associated with a power-law distribution for the laminar lengths. The scaling exponent ζ for the laminar length distribution is obtained.

scholarly journals Simulation of foraging behavior using a decision-making agent with Bayesian and inverse Bayesian inference: Lévy and Brownian walk-like search patterns derived from differences in prey distributions

2021 ◽  
Author(s):  
Shuji Shinohara ◽  
Hiroshi Okamoto ◽  
Nobuhito Manome ◽  
Yukio Gunji ◽  
Yoshihiro Nakajima ◽  
...  
Keyword(s):  
Decision Making ◽  
Foraging Behavior ◽  
Power Law ◽  
Length Distribution ◽  
Step Length ◽  
Marine Organisms ◽  
Migratory Behavior ◽  
Frequency Of Occurrence ◽  
Power Law Distribution ◽  
Positive Correlation

Lévy walks, random walks where the frequency of occurrence of a linear step length follows a power-law distribution, are found in the migratory behavior of organisms at various levels, from bacteria and T cells to humans. However, it has been pointed out that in human migratory behavior, the step length series may have temporal correlation (i.e., it is not random walk) and that there is some relationship between this time dependency and the fact that the frequency distribution of step length follows the power-law distribution. Furthermore, some large marine organisms have been found to switch between Lévy and Brownian walks, wherein the frequency of occurrence of the step length is characterized by an exponential distribution (EP), depending on the difficulty of prey acquisition. However, as of now it has not been clarified how the aforementioned three phenomena arise: the positive correlation created in the step length series, the relation between the positive correlation of the step length series and the form of an individual's step length distribution, and the switching between Lévy and Brownian behavior depending on the abundance of prey. The purpose of this study is to simulate foraging behavior by three Bayesian decision-making agents: an agent simultaneously performing both knowledge learning and knowledge-based inference, an agent performing only learning, an agent performing only inference, and to analyze how the aforementioned three phenomena arise. The simulation results show that only the agent with both learning and inference has a mechanism that simultaneously causes all the phenomena. This suggests that simultaneous learning on prey distribution and inference based on the knowledge gained in exploratory behavior under incomplete information may be the key to the emergence of Lévy walk-like patterns found in humans and marine organisms.

scholarly journals Synchronization and desynchronization in the Olami-Feder-Christensen earthquake model and potential implications for real seismicity

2011 ◽  
Vol 18 (5) ◽  
pp. 635-642 ◽  
Author(s):  
S. Hergarten ◽  
R. Krenn
Keyword(s):  
Power Law ◽  
Statistical Properties ◽  
Scaling Exponent ◽  
Power Law Distribution ◽  
Scaling Properties ◽  
Temporal Clustering ◽  
Self Organized ◽  
Earthquake Model ◽  
Self Organized Criticality ◽  
Large Earthquakes

Abstract. The Olami-Feder-Christensen model is probably the most studied model in the context of self-organized criticality and reproduces several statistical properties of real earthquakes. We investigate and explain synchronization and desynchronization of earthquakes in this model in the nonconservative regime and its relevance for the power-law distribution of the event sizes (Gutenberg-Richter law) and for temporal clustering of earthquakes. The power-law distribution emerges from synchronization, and its scaling exponent can be derived as τ = 1.775 from the scaling properties of the rupture areas' perimeter. In contrast, the occurrence of foreshocks and aftershocks according to Omori's law is closely related to desynchronization. This mechanism of foreshock and aftershock generation differs strongly from the widespread idea of spontaneous triggering and gives an idea why some even large earthquakes are not preceded by any foreshocks in nature.

SINGULAR POINTS OF PLANE CURVES GENERATED BY PERIOD DOUBLING BIFURCATION POINTS AND A METHOD FOR COMPUTING THEM

1991 ◽  
Vol 01 (04) ◽  
pp. 795-802 ◽  
Author(s):  
NORIO YAMAMOTO
Keyword(s):  
Nonlinear Oscillations ◽  
Period Doubling ◽  
Singular Points ◽  
Period Doubling Bifurcation ◽  
Plane Curves ◽  
Bifurcation Equation ◽  
Dimensional Parameter ◽  
Bifurcation Points ◽  
Isolated Points ◽  
Cusp Points

This paper is concerned with nodal points, isolated points and cusp points (PD) appearing on a locus of period-doubling bifurcation points and the accurate location of them. Such points can be observed in periodic differential systems (e.g., Duffing's equation) in nonlinear oscillations. In a suitable two-dimensional parameter-plane, such points can be formulated as double (singular) points of plane curves defined by a bifurcation equation, and a method for computing them is proposed.

DUAL-MODE LINEAR ANALYSIS OF TEMPORAL INSTABILITY FOR POWER-LAW LIQUID SHEET

2016 ◽  
Vol 26 (4) ◽  
pp. 319-347 ◽  
Author(s):  
Han-Yu Deng ◽  
Feng Feng ◽  
Xiao-Song Wu
Keyword(s):  
Power Law ◽  
Linear Analysis ◽  
Liquid Sheet ◽  
Dual Mode ◽  
Temporal Instability

scholarly journals The structure of co-publications multilayer network

2021 ◽  
Vol 8 (1) ◽  
Author(s):  
Ghislain Romaric Meleu ◽  
Paulin Yonta Melatagia
Keyword(s):  
Power Law ◽  
Degree Distribution ◽  
Preferential Attachment ◽  
Small World ◽  
Generation Model ◽  
Small World Network ◽  
Power Law Distribution ◽  
Multilayer Networks ◽  
Multilayer Network ◽  
Scientific Papers

AbstractUsing the headers of scientific papers, we have built multilayer networks of entities involved in research namely: authors, laboratories, and institutions. We have analyzed some properties of such networks built from data extracted from the HAL archives and found that the network at each layer is a small-world network with power law distribution. In order to simulate such co-publication network, we propose a multilayer network generation model based on the formation of cliques at each layer and the affiliation of each new node to the higher layers. The clique is built from new and existing nodes selected using preferential attachment. We also show that, the degree distribution of generated layers follows a power law. From the simulations of our model, we show that the generated multilayer networks reproduce the studied properties of co-publication networks.

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