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Use of False Nearest Neighbours for Selecting Variables and Embedding Parameters for State Space Reconstruction 利用假最近邻选择变量和嵌入参数进行状态空间重构
Journal of Complex Systems Pub Date : 2015-03-09 DOI: 10.1155/2015/932750
A. Krakovská, K. Mezeiová, H. Budácová
{"title":"Use of False Nearest Neighbours for Selecting Variables and Embedding Parameters for State Space Reconstruction","authors":"A. Krakovská, K. Mezeiová, H. Budácová","doi":"10.1155/2015/932750","DOIUrl":"https://doi.org/10.1155/2015/932750","url":null,"abstract":"If data are generated by a system with a d-dimensional attractor,\u0000then Takens’ theorem guarantees that reconstruction that is diffeomorphic\u0000to the original attractor can be built from the single time series\u0000in -dimensional phase space. However, under certain conditions,\u0000reconstruction is possible even in a space of smaller dimension. This\u0000topic is very important because the size of the reconstruction space\u0000relates to the effectiveness of the whole subsequent analysis. In\u0000this paper, the false nearest neighbour (FNN) methods are revisited\u0000to estimate the optimum embedding parameters and the most appropriate\u0000observables for state space reconstruction. A modification of the\u0000false nearest neighbour method is introduced. \u0000The findings contribute to evidence that the length of the embedding\u0000time window (TW) is more important than the reconstruction delay time\u0000and the embedding dimension (ED) separately. Moreover, if several\u0000time series of the same system are observed, the choice of the one\u0000that is used for the reconstruction could also be critical. The results\u0000are demonstrated on two chaotic benchmark systems.","PeriodicalId":272225,"journal":{"name":"Journal of Complex Systems","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122497616","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 64
Some Fixed Point Theorems in Complex Valued b-Metric Spaces 复值b-度量空间中的一些不动点定理
Journal of Complex Systems Pub Date : 2015-01-26 DOI: 10.1155/2015/832467
A. K. Dubey, Rita Shukla, R. Dubey
{"title":"Some Fixed Point Theorems in Complex Valued b-Metric Spaces","authors":"A. K. Dubey, Rita Shukla, R. Dubey","doi":"10.1155/2015/832467","DOIUrl":"https://doi.org/10.1155/2015/832467","url":null,"abstract":"Recently, Azam et al. introduced the notion of complex valued metric spaces and proved fixed point theorems under the contraction condition. Rao et al. introduced the notion of complex valued b-metric spaces. In this paper, we obtain some fixed point results for the mapping satisfying rational expressions in complex valued b-metric spaces. Also, an example is given to illustrate our obtained result.","PeriodicalId":272225,"journal":{"name":"Journal of Complex Systems","volume":"59-60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125687857","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 22
Studying the Relationship between System-Level and Component-Level Resilience 研究系统级和组件级弹性之间的关系
Journal of Complex Systems Pub Date : 2015-01-08 DOI: 10.1155/2015/875265
M. Mitchell, W. Beyeler
{"title":"Studying the Relationship between System-Level and Component-Level Resilience","authors":"M. Mitchell, W. Beyeler","doi":"10.1155/2015/875265","DOIUrl":"https://doi.org/10.1155/2015/875265","url":null,"abstract":"The capacity to maintain stability in a system relies on the components which make up the system. This study explores the relationship between component-level resilience and system-level resilience with the aim of identifying policies which foster system-level resilience in situations where existing incentives might undermine it. We use an abstract model of interacting specialized resource users and producers which can be parameterized to represent specific real systems. We want to understand how features, such as stockpiles, influence system versus component resilience. Systems are subject to perturbations of varying intensity and frequency. For our study, we create a simplified economy in which an inventory carrying cost is imposed to incentivize smaller inventories and examine how components with varying inventory levels compete in environments subject to periods of resource scarcity. The results show that policies requiring larger inventories foster higher component-level resilience but do not foster higher system-level resilience. Inventory carrying costs reduce production efficiency as inventory sizes increase. JIT inventory strategies improve production efficiency but do not afford any buffer against future uncertainty of resource availability.","PeriodicalId":272225,"journal":{"name":"Journal of Complex Systems","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121358378","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Group Measures and Modeling for Social Networks 社会网络的群体度量和建模
Journal of Complex Systems Pub Date : 2014-09-30 DOI: 10.1155/2014/354385
Vincent Levorato
{"title":"Group Measures and Modeling for Social Networks","authors":"Vincent Levorato","doi":"10.1155/2014/354385","DOIUrl":"https://doi.org/10.1155/2014/354385","url":null,"abstract":"Social network modeling is generally based on graph theory, which allows for study of dynamics and emerging phenomena. However, in terms of neighborhood, the graphs are not necessarily adapted to represent complex interactions, and the neighborhood of a group of vertices can be inferred from the neighborhoods of each vertex composing that group. In our study, we consider that a group has to be considered as a complex system where emerging phenomena can appear. In this paper, a formalism is proposed to resolve this problematic by modeling groups in social networks using pretopology as a generalization of the graph theory. After giving some definitions and examples of modeling, we show how some measures used in social network analysis (degree, betweenness, and closeness) can be also generalized to consider a group as a whole entity.","PeriodicalId":272225,"journal":{"name":"Journal of Complex Systems","volume":"235 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114994950","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
Dynamic Cournot Duopoly Game with Delay 具有时滞的动态古诺双寡头博弈
Journal of Complex Systems Pub Date : 2014-06-19 DOI: 10.1155/2014/384843
A. Elsadany, A. Matouk
{"title":"Dynamic Cournot Duopoly Game with Delay","authors":"A. Elsadany, A. Matouk","doi":"10.1155/2014/384843","DOIUrl":"https://doi.org/10.1155/2014/384843","url":null,"abstract":"The delay Cournot duopoly game is studied. Dynamical behaviors of the game are studied. Equilibrium points and their stability are studied. The results show that the delayed system has the same Nash equilibrium point and the delay can increase the local stability region.","PeriodicalId":272225,"journal":{"name":"Journal of Complex Systems","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116372768","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 28
Conception of Biologic System: Basis Functional Elements and Metric Properties 生物系统的概念:基本功能元素和度量性质
Journal of Complex Systems Pub Date : 2014-04-29 DOI: 10.1155/2014/693938
G. Davydyan
{"title":"Conception of Biologic System: Basis Functional Elements and Metric Properties","authors":"G. Davydyan","doi":"10.1155/2014/693938","DOIUrl":"https://doi.org/10.1155/2014/693938","url":null,"abstract":"A notion of biologic system or just a system implies a functional wholeness of comprising system components. Positive and negative feedback are the examples of how the idea to unite anatomical elements in the whole functional structure was successfully used in practice to explain regulatory mechanisms in biology and medicine. There are numerous examples of functional and metabolic pathways which are not regulated by feedback loops and have a structure of reciprocal relationships. Expressed in the matrix form positive feedback, negative feedback, and reciprocal links represent three basis elements of a Lie algebra of a special linear group . It is proposed that the mathematical group structure can be realized through the three regulatory elements playing a role of a functional basis of biologic systems. The structure of the basis elements endows the space of biological variables with indefinite metric. Metric structure resembles Minkowski's space-time (","PeriodicalId":272225,"journal":{"name":"Journal of Complex Systems","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116605253","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Complex Stochastic Boolean Systems: Comparing Bitstrings with the Same Hamming Weight 复杂随机布尔系统:比较具有相同汉明权值的位串
Journal of Complex Systems Pub Date : 2014-03-24 DOI: 10.1155/2014/428418
L. Sánchez
{"title":"Complex Stochastic Boolean Systems: Comparing Bitstrings with the Same Hamming Weight","authors":"L. Sánchez","doi":"10.1155/2014/428418","DOIUrl":"https://doi.org/10.1155/2014/428418","url":null,"abstract":"A complex stochastic Boolean system (CSBS) is a complex system depending on an arbitrarily large number of random Boolean variables. CSBSs arise in many different areas of science and engineering. A proper mathematical model for the analysis of such systems is based on the intrinsic order: a partial order relation defined on the set of all binary -tuples of 0s and 1s. The intrinsic order enables one to compare the occurrence probabilities of two given binary -tuples with no need to compute them, simply looking at the relative positions of their 0s and 1s. Regarding the analysis of CSBSs, the intrinsic order reduces the complexity of the problem from exponential ( binary -tuples) to linear ( Boolean variables). In this paper, using the intrinsic ordering, we compare the occurrence probabilities of any two binary -tuples having the same number of 1-bits (i.e., the same Hamming weight). Our results can be applied to any CSBS with mutually independent Boolean variables.","PeriodicalId":272225,"journal":{"name":"Journal of Complex Systems","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122568513","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Small Morris-Lecar Neuron Network Gets Close to Critical Only in the Small-World Regimen 一个小的Morris-Lecar神经元网络只有在小世界方案中才接近临界
Journal of Complex Systems Pub Date : 2013-11-07 DOI: 10.1155/2013/675818
J. L. Cabrera, J. Hoenicka, Daniella Macedo
{"title":"A Small Morris-Lecar Neuron Network Gets Close to Critical Only in the Small-World Regimen","authors":"J. L. Cabrera, J. Hoenicka, Daniella Macedo","doi":"10.1155/2013/675818","DOIUrl":"https://doi.org/10.1155/2013/675818","url":null,"abstract":"Spontaneous emergence of neuronal activity avalanches characterized by power-law distributions is known to occur in different types of nervous tissues suggesting that nervous systems may operate at a critical regime. Here, we explore the possible relation of this dynamical state with the underlying topology in a small-size network of interconnected Morris-Lecar neurons. Studying numerically different topological configurations, we find that, very close to the efficient small-world situation, the system self-organizes near to a critical branching process with observable distributions in the proximity of a power law with exponents similar to those reported in the experimental literature. Therefore, we conclude that the observed scaling is intimately related only with the small-world topology.","PeriodicalId":272225,"journal":{"name":"Journal of Complex Systems","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126097717","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Weakly Compatible Maps Using E.A. and (CLR) Properties in Complex Valued -Metric Spaces 复值-度量空间中使用E.A.和(CLR)性质的弱相容映射
Journal of Complex Systems Pub Date : 2013-10-30 DOI: 10.1155/2013/939607
Balbir Singh, V. Gupta, Sanjay Kumar
{"title":"Weakly Compatible Maps Using E.A. and (CLR) Properties in Complex Valued -Metric Spaces","authors":"Balbir Singh, V. Gupta, Sanjay Kumar","doi":"10.1155/2013/939607","DOIUrl":"https://doi.org/10.1155/2013/939607","url":null,"abstract":"We introduce the notion of complex valued -metric spaces and prove common fixed point theorems for weakly compatible maps along with E.A. and (CLR) properties in complex valued -metric spaces.","PeriodicalId":272225,"journal":{"name":"Journal of Complex Systems","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121840423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Common Fixed Point Theorems for a Rational Inequality in Complex Valued Metric Spaces 复值度量空间中一类有理不等式的公共不动点定理
Journal of Complex Systems Pub Date : 2013-10-24 DOI: 10.1155/2013/942058
Pankaj Kumar, Manoj Kumar, Sanjay Kumar
{"title":"Common Fixed Point Theorems for a Rational Inequality in Complex Valued Metric Spaces","authors":"Pankaj Kumar, Manoj Kumar, Sanjay Kumar","doi":"10.1155/2013/942058","DOIUrl":"https://doi.org/10.1155/2013/942058","url":null,"abstract":"We prove a common fixed point theorem for a pair of mappings. Also, we prove a common fixed point theorem for pairs of self-mappings along with weakly commuting property.","PeriodicalId":272225,"journal":{"name":"Journal of Complex Systems","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126718721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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