Results 1  10
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65
Catastrophes in scalefree networks
 Chinese Physics Letters
, 2005
"... Abstract — In this paper, we study the consensus on scalefree network, which is known as more robust and immune to the random mutation and perturbation than (binomial) random network. The underlying dynamics of system is derived from a discrete random process by averaging the state of agents weight ..."
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Cited by 3 (0 self)
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Abstract — In this paper, we study the consensus on scalefree network, which is known as more robust and immune to the random mutation and perturbation than (binomial) random network. The underlying dynamics of system is derived from a discrete random process by averaging the state of agents
Synchronization of Kuramoto oscillators in scalefree networks
 EUROPHYS LETT 68: 603–609
, 2004
"... In this work, we study the synchronization of coupled phase oscillators on the underlying topology of scalefree networks. In particular, we assume that each network’s component is an oscillator and that each interacts with the others following the Kuramoto model. We then study the onset of global ..."
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Cited by 18 (2 self)
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In this work, we study the synchronization of coupled phase oscillators on the underlying topology of scalefree networks. In particular, we assume that each network’s component is an oscillator and that each interacts with the others following the Kuramoto model. We then study the onset of global
SelfSimilar Shocked Accretion of Collisional Gas with Radiative Cooling
, 1999
"... We describe similarity solutions that characterize the collapse of collisional gas onto scalefree perturbations in an Einsteinde Sitter universe. We consider the effects of radiative cooling and derive selfsimilar solutions under the assumption that the ..."
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We describe similarity solutions that characterize the collapse of collisional gas onto scalefree perturbations in an Einsteinde Sitter universe. We consider the effects of radiative cooling and derive selfsimilar solutions under the assumption that the
ScaleFree Thin Discs with an Isopedic Magnetic Field
, 2006
"... Accepted. Received; in original form Global stationary configurations of both aligned and logarithmic spiral magnetohydrodynamic (MHD) perturbations are constructed analytically within an axisymmetric background of razorthin scalefree gas disc, which is embedded in an axisymmetric gravitational po ..."
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Accepted. Received; in original form Global stationary configurations of both aligned and logarithmic spiral magnetohydrodynamic (MHD) perturbations are constructed analytically within an axisymmetric background of razorthin scalefree gas disc, which is embedded in an axisymmetric gravitational
Structures in a class of magnetized scalefree discs
, 2004
"... We construct analytically stationary global configurations for both aligned and logarithmic spiral coplanar magnetohydrodynamic (MHD) perturbations in an axisymmetric background MHD disc with a powerlaw surface mass density Σ0 ∝ r −α, a ..."
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We construct analytically stationary global configurations for both aligned and logarithmic spiral coplanar magnetohydrodynamic (MHD) perturbations in an axisymmetric background MHD disc with a powerlaw surface mass density Σ0 ∝ r −α, a
scalefree discs with a coplanar magnetic field
, 2006
"... We investigate a theoretical magnetohydrodynamic (MHD) disc problem involving a composite disc system of gravitationally coupled stellar and gaseous discs with a coplanar magnetic field in the presence of an axisymmetric dark matter halo. The two discs are expediently approximated as razorthin, wit ..."
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thin, with a barotropic equation of state, a powerlaw surface mass density, a ringlike magnetic field, and a powerlaw rotation curve in radius r. By imposing the scalefree condition, we construct analytically stationary global MHD perturbation configurations for both aligned and logarithmic spiral patterns
Robustness of Attractor States in Complex Networks with Scalefree Topology
, 708
"... We study the intrinsic properties of attractors in the Boolean dynamics in complex network with scalefree topology, comparing with those of the socalled random Kauffman networks. We have numerically investigated the frozen and relevant nodes for each attractor, and the robustness of the attractors ..."
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of the attractors to the perturbation that flips the state of a single node of attractors in the relatively small network (N = 30 ∼ 200). It is shown that the rate of frozen nodes in the complex networks with scalefree topology is larger than that in the random Kauffman model. Furthermore, we have found
Scalefree extinction dynamics in spatially structured host–parasitoid systems
, 2006
"... Much of the work on extinction events has focused on external perturbations of ecosystems, such as climatic change, or anthropogenic factors. Extinction, however, can also be driven by endogenous factors, such as the ecological interactions between species in an ecosystem. Here we show that endogeno ..."
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Much of the work on extinction events has focused on external perturbations of ecosystems, such as climatic change, or anthropogenic factors. Extinction, however, can also be driven by endogenous factors, such as the ecological interactions between species in an ecosystem. Here we show
ScaleFree Relationships Facilitate Cooperation in Spatial Games with Sequential Strategy
"... Recently, the area of study of spatial game continuously has extended, and researchers have especially presented a lot of works of coevolutionary mechanism. We have recognized coevolutionary mechanism as one of the factors for the promotion of cooperation like five rules by Nowak. However, those ..."
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utilizing the best decision, probabilistic perturbation does not induce any change. On the other hand, when ties are the scalefree structure, mutual cooperation is enhanced like the case of the best decision. When we probe the evolution of strategies in that case, groups with many ties play a role
Extended Perturbation Theory for the Local Density Distribution Function
, 1996
"... Perturbation theory makes it possible to calculate the probability distribution function (PDF) of the large scale density field in the small variance limit, σ ≪ 1. For top hat smoothing and scalefree Gaussian initial fluctuations, the result depends only on the linear variance, σlinear, and its log ..."
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Perturbation theory makes it possible to calculate the probability distribution function (PDF) of the large scale density field in the small variance limit, σ ≪ 1. For top hat smoothing and scalefree Gaussian initial fluctuations, the result depends only on the linear variance, σlinear, and its
Results 1  10
of
65