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Search Results: 1 - 10 of 1512 matches for " Satoru Morita "
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Crossovers in ScaleFree Networks on Geographical Space
Satoru Morita
Physics , 2005, DOI: 10.1103/PhysRevE.73.035104
Abstract: Complex networks are characterized by several topological properties: degree distribution, clustering coefficient, average shortest path length, etc. Using a simple model to generate scale-free networks embedded on geographical space, we analyze the relationship between topological properties of the network and attributes (fitness and location) of the vertices in the network. We find there are two crossovers for varying the scaling exponent of the fitness distribution.
Extended Pair Approximation of Evolutionary Game on Complex Networks
Satoru Morita
Physics , 2008, DOI: 10.1143/PTP.119.29
Abstract: We investigate how network structure influences evolutionary games on networks. We extend the pair approximation to study the effects of degree fluctuation and clustering of the network. We find that a larger fluctuation of the degree is equivalent to a larger mobility of the players. In addition, a larger clustering coefficient is equivalent to a smaller number of neighbors.
Bifurcations in Globally Coupled Chaotic Maps
Satoru Morita
Physics , 1995, DOI: 10.1016/0375-9601(96)00012-6
Abstract: We propose a new method to investigate collective behavior in a network of globally coupled chaotic elements generated by a tent map. In the limit of large system size, the dynamics is described with the nonlinear Frobenius-Perron equation. This equation can be transformed into a simple form by making use of the piecewise linear nature of the individual map. Our method is applied successfully to the analyses of stability of collective stationary states and their bifurcations.
Power law in random multiplicative processes with spatio-temporal correlated multipliers
Satoru Morita
Physics , 2015,
Abstract: It is well known that random multiplicative processes generate power-law probability distributions. We study how the spatio-temporal correlation of the multipliers influences the power-law exponent. We investigate two sources of the time correlation: the local environment and the global environment. In addition, we introduce two simple models through which we analytically and numerically show that the local and global environments yield different trends in the power-law exponent.
Six Susceptible-Infected-Susceptible Models on Scale-free Networks
Satoru Morita
Physics , 2015,
Abstract: Spreading phenomena are ubiquitous in nature and society. For example, disease, rumor, and information spread over underlying social and information networks. It is well known that there is no threshold for epidemic models on scale-free networks; this suggests that disease can spread on such networks, regardless of how low the contact rate may be. In this paper, I consider six models with different contact and propagation mechanisms. Each model is analyzed by degree-based mean-field theory. I show that the presence or absence of an outbreak threshold depends on the contact and propagation mechanism.
Evolutionary game on networks with high clustering coefficient
Satoru Morita
Physics , 2015,
Abstract: This study investigates the influence of lattice structure in evolutionary games. The snowdrift games is considered in networks with high clustering coefficients, that use four different strategy-updating. Analytical conjectures using pair approximation were compared with the numerical results. Results indicate that general statements asserting that the lattice structure enhances cooperation are misleading.
Collective motions in globally coupled tent maps with stochastic updating
Satoru Morita,Tsuyoshi Chawanya
Physics , 2001, DOI: 10.1103/PhysRevE.65.046201
Abstract: We study a generalization of globally coupled maps, where the elements are updated with probability $p$. When $p$ is below a threshold $p_c$, the collective motion vanishes and the system is the stationary state in the large size limit. We present the linear stability analysis.
Analytical Solution of Metapopulation Dynamics in Stochastic Environment
Satoru Morita,Jin Yoshimura
Quantitative Biology , 2012, DOI: 10.1103/PhysRevE.86.045102
Abstract: We study a stochastic linear discrete metapolulation model to understand the effect of risk spreading by dispersion. We calculate analytically the stable distribution of populations that live in different habitats. The result shows that the simultaneous distribution of the populations has a complicated self-similar structure, but a population at each habitat follows a log-normal distribution.
Analytical solution of stochastic model of risk-spreading with global coupling
Satoru Morita,Jin Yoshimura
Quantitative Biology , 2013, DOI: 10.1103/PhysRevE.88.052809
Abstract: We study a stochastic matrix model to understand the mechanics of risk-spreading (or bet-hedging) by dispersion. Such model has been mostly dealt numerically except for well-mixed case, so far. Here, we present an analytical result, which shows that optimal dispersion leads to Zipf's law. Moreover, we found that the arithmetic ensemble average of the total growth rate converges to the geometric one, because the sample size is finite.
Disadvantages of Preferential Dispersals in Fluctuating Environments
Satoru Morita,Jin Yoshimura
Quantitative Biology , 2014, DOI: 10.7566/JPSJ.84.034801
Abstract: It has not been known whether preferential dispersal is adaptive in fluctuating environments. We investigate the effect of preferential and random dispersals in bet-hedging systems by using a discrete stochastic metapopulation model, where each site fluctuates between good and bad environments with temporal correlation. To explore the optimal migration pattern, an analytical estimation of the total growth is derived by mean field approximation. We found that the preference for fertile sites is disadvantageous when transportation among sites has a cost or the sensitivity of preference is high.
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