共查询到20条相似文献,搜索用时 15 毫秒
1.
In this paper, we discuss how to transform the disordered phase into an ordered phase in random Boolean networks. To increase the effectiveness, a control scheme is proposed, which periodically freezes a fraction of the network based on the average sensitivity of Boolean functions of the nodes. Theoretical analysis is carried out to estimate the expected critical value of the fraction, and shows that the critical value is reduced using this scheme compared to that of randomly freezing a fraction of the nodes. Finally, the simulation is given for illustrating the effectiveness of the proposed method. 相似文献
2.
In this paper,we discuss how to transform the disordered phase into an ordered phase in random Boolean networks.To increase the effectiveness,a control scheme is proposed,which periodically freezes a fraction of the network based on the average sensitivity of Boolean functions of the nodes.Theoretical analysis is carried out to estimate the expected critical value of the fraction,and shows that the critical value is reduced using this scheme compared to that of randomly freezing a fraction of the nodes.Finally,the simulation is given for illustrating the effectiveness of the proposed method. 相似文献
3.
František Kôpka 《International Journal of Theoretical Physics》2008,47(1):26-35
The pointwise multiplication on a full tribe and the product operation on an MV-algebra play a crucial role in the construction
of a joint observable. In the present paper we introduce a quasi product operation on Boolean D-posets and describe its properties.
Our quasi product generalizes product on MV-algebras and in some cases also t-norms.
This work was supported by Science and Technology Assistance Agency under the contracts No. APVT-51-032002, APVV-0071-06,
and by the grant Center of Excellence Physics of Information I/2/2005. 相似文献
4.
Qiuli Liu 《Physica A》2012
External control of some genes in a genetic regulatory network is useful for avoiding undesirable states associated with some diseases. For this purpose, a number of stochastic optimal control approaches have been proposed. Probabilistic Boolean networks (PBNs) as powerful tools for modeling gene regulatory systems have attracted considerable attention in systems biology. In this paper, we deal with a problem of optimal intervention in a PBN with the help of the theory of discrete time Markov decision process. Specifically, we first formulate a control model for a PBN as a first passage model for discrete time Markov decision processes and then find, using a value iteration algorithm, optimal effective treatments with the minimal expected first passage time over the space of all possible treatments. In order to demonstrate the feasibility of our approach, an example is also displayed. 相似文献
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Hai-Fang Liu 《中国物理 B》2021,30(11):110503-110503
Autonomous Boolean networks (ABNs) have been successfully applied to the generation of random number due to their complex nonlinear dynamics and convenient on-chip integration. Most of the ABNs used for random number generators show a symmetric topology, despite their oscillations dependent on the inconsistency of time delays along links. To address this issue, we suggest an asymmetrical autonomous Boolean network (aABN) and show numerically that it provides large amplitude oscillations by using equal time delays along links and the same logical gates. Experimental results show that the chaotic features of aABN are comparable to those of symmetric ABNs despite their being made of fewer nodes. Finally, we put forward a random number generator based on aABN and show that it generates the random numbers passing the NIST test suite at 100 Mbits/s. The unpredictability of the random numbers is analyzed by restarting the random number generator repeatedly. The aABN may replace symmetrical ABNs in many applications using fewer nodes and, in turn, reducing power consumption. 相似文献
6.
Epstein CL 《Journal of magnetic resonance (San Diego, Calif. : 1997)》2004,167(2):399-210
This paper considers a variety of problems in the design of selective RF-pulses. We apply a formula of Zakharov and Manakov to directly relate the energy of an RF-envelope to the magnetization profile and certain auxiliary parameters used in the inverse scattering transform (IST) approach to RF-pulse synthesis. This allows a determination of the minimum possible energy for a given magnetization profile. We give an algorithm to construct both the minimum energy RF-envelope as well as any other envelope that produces a given magnetization profile. This includes an algorithm for solving the Gel'fand-Levitan-Marchenko equations with bound states. The SLR method is analyzed in terms of traditional scattering data, and shown to be a special (singular) case of the IST approach. RF-envelopes are computed for a variety of examples. 相似文献
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Coherent spaces spanned by a finite number of coherent states, are introduced. Their coherence properties are studied, using the Dirac contour representation. It is shown that the corresponding projectors resolve the identity, and that they transform into projectors of the same type, under displacement transformations, and also under time evolution. The set of these spaces, with the logical OR and AND operations is a distributive lattice, and with the logical XOR and AND operations is a Boolean ring (Stone’s formalism). Applications of this Boolean ring into classical CNOT gates with n-ary variables, and also quantum CNOT gates with coherent states, are discussed. 相似文献
9.
A simple deterministic algorithm for community detection is provided by using two rounds of minimum spanning trees. By comparing the first round minimum spanning tree (1st-MST) with the second round spanning tree (2nd-MST) of the network, communities are detected and their overlapping nodes are also identified. To generate the two MSTs, a distance matrix is defined and computed from the adjacent matrix of the network. Compared with the resistance matrix or the communicability matrix used in community detection in the literature, the proposed distance matrix is very simple in computation. The proposed algorithm is tested on real world social networks, graphs which are failed by the modularity maximization, and the LFR benchmark graphs for community detection. 相似文献
10.
采用无感陶瓷电容器作为储能介质,相邻电容器采用宽度为2 cm、厚度为0.2 cm的金属铝条相连接,设计了2.5Ω,200 ns低阻抗Blumlein型脉冲形成网络。理论计算表明,当频率等于2.5 MHz时,相邻电容器之间导线的高频电阻约为3.2 mΩ;基于Pspice仿真软件的模拟结果表明,设计的脉冲形成网络能量传递效率可以达到94.92%;实验研究结果表明,在2.6Ω负载条件下,该脉冲形成网络的电压传递效率约为93.53%,能量传递效率约为93.22%。实验结果与理论分析结果基本吻合。 相似文献
11.
The problem of pinning control for the synchronization of complex
dynamical networks is discussed in this paper. A cost function of
the controlled network is defined by the feedback gain and the
coupling strength of the network. An interesting result is that a
lower cost is achieved by using the control scheme of pinning nodes
with smaller degrees. Some strict mathematical analyses are
presented for achieving a lower cost in the synchronization of
different star-shaped networks. Numerical simulations on some
non-regular complex networks generated by the Barabási--Albert
model and various star-shaped networks are performed for
verification and illustration. 相似文献
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This Letter presents an analytical study of synchronization in an array of coupled deterministic Boolean networks. A necessary and sufficient criterion for synchronization is established based on algebraic representations of logical dynamics in terms of the semi-tensor product of matrices. Some basic properties of a synchronized array of Boolean networks are then derived for the existence of transient states and the upper bound of the number of fixed points. Particularly, an interesting consequence indicates that a “large” mismatch between two coupled Boolean networks in the array may result in loss of synchrony in the entire system. Examples, including the Boolean model of coupled oscillations in the cell cycle, are given to illustrate the present results. 相似文献
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Michele Braccini Andrea Roli Edoardo Barbieri Stuart A. Kauffman 《Entropy (Basel, Switzerland)》2022,24(10)
Systems poised at a dynamical critical regime, between order and disorder, have been shown capable of exhibiting complex dynamics that balance robustness to external perturbations and rich repertoires of responses to inputs. This property has been exploited in artificial network classifiers, and preliminary results have also been attained in the context of robots controlled by Boolean networks. In this work, we investigate the role of dynamical criticality in robots undergoing online adaptation, i.e., robots that adapt some of their internal parameters to improve a performance metric over time during their activity. We study the behavior of robots controlled by random Boolean networks, which are either adapted in their coupling with robot sensors and actuators or in their structure or both. We observe that robots controlled by critical random Boolean networks have higher average and maximum performance than that of robots controlled by ordered and disordered nets. Notably, in general, adaptation by change of couplings produces robots with slightly higher performance than those adapted by changing their structure. Moreover, we observe that when adapted in their structure, ordered networks tend to move to the critical dynamical regime. These results provide further support to the conjecture that critical regimes favor adaptation and indicate the advantage of calibrating robot control systems at dynamical critical states. 相似文献
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PING Ziliang LI Shangde WANG Jing 《Chinese Journal of Lasers》1998,7(4):347-352
1IntroductionThecircularharmoniccomponentfilter[1](CHF)isawidelyuseddevicetosolvetherotationinvariantcorelation.Themainproble... 相似文献
20.
Fredrik Karlsson 《Physica A》2007,384(2):747-757
We explore the connection between order/chaos in Boolean networks and the naturally occurring fraction of canalizing functions in such systems. This fraction turns out to give a very clear indication of whether the system possesses ordered or chaotic dynamics, as measured by Derrida plots, and also the degree of order when we compare different networks with the same number of vertices and edges. By studying also a wide distribution of indegrees in a network, we show that the mean probability of canalizing functions is a more reliable indicator of the type of dynamics for a finite network than the classical result on stability relating the bias to the mean indegree. Finally, we compare by direct simulations two biologically derived networks with networks of similar sizes but with power-law and Poisson distributions of indegrees, respectively. The biologically motivated networks are not more ordered than the latter, and in one case the biological network is even chaotic while the others are not. 相似文献