26,153 research outputs found

    Effective transport barriers in nontwist systems

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    In fluids and plasmas with zonal flow reversed shear, a peculiar kind of transport barrier appears in the shearless region, one that is associated with a proper route of transition to chaos. These barriers have been identified in symplectic nontwist maps that model such zonal flows. We use the so-called standard nontwist map, a paradigmatic example of nontwist systems, to analyze the parameter dependence of the transport through a broken shearless barrier. On varying a proper control parameter, we identify the onset of structures with high stickiness that give rise to an effective barrier near the broken shearless curve. Moreover, we show how these stickiness structures, and the concomitant transport reduction in the shearless region, are determined by a homoclinic tangle of the remaining dominant twin island chains. We use the finite-time rotation number, a recently proposed diagnostic, to identify transport barriers that separate different regions of stickiness. The identified barriers are comparable to those obtained by using finite-time Lyapunov exponents.FAPESPCNPqCAPESMCT/CNEN (Rede Nacional de Fusao)Fundacao AraucariaUS Department of Energy DE-FG05-80ET-53088Physic

    Syntgen: a system to generate temporal networks with user specified topology

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    In the last few years, the study of temporal networks has progressed markedly. The evolution of clusters of nodes (or communities) is one of the major focus of these studies. However, the time dimension increases complexity, introducing new constructs and requiring novel and enhanced algorithms. In spite of recent improvements, the relative scarcity of timestamped representations of empiric networks, with known ground truth, hinders algorithm validation. A few approaches have been proposed to generate synthetic temporal networks that conform to static topological specifications while in general adopting an ad hoc approach to temporal evolution. We believe there is still a need for a principled synthetic network generator that conforms to problem domain topological specifications from a static as well as temporal perspective. Here, we present such a system. The unique attributes of our system include accepting arbitrary node degree and cluster size distributions and temporal evolution under user control, while supporting tunable joint distribution and temporal correlation of node degrees. Theoretical contributions include the analysis of conditions for graphic sequences of inter- and intracluster node degrees and cluster sizes and the development of a heuristic to search for the cluster membership of nodes that minimizes the shared information distance between clusterings. Our work shows that this system is capable of generating networks under user controlled topology with up to thousands of nodes and hundreds of clusters with strong topology adherence. Much larger networks are possible with relaxed requirements. The generated networks support algorithm validation as well as problem domain analysis.info:eu-repo/semantics/acceptedVersio

    A taxonomy of community lifecycle events in temporal networks

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    Communities are one of the most important struc- tural elements of a network. They frequently influence network behavior, which makes their identification especially useful. As a result, community detection has been a popular topic within network science in recent decades. Even more recently, fostered by an increasing availability of time stamped datasets and a pressing realization that most empiric networks are dynamic in nature, temporal networks have attracted increased attention. The time dimension introduces new network constructs and communities are not immune. A community is no longer just a bunch of fixed nodes tightly clustered, but have a life and activity of itself, shedding and gaining nodes, appearing and disappearing on the network. We believe that these dynamic constructs are still lacking a formal, consensual definition. In this article we propose a robust taxonomy of life events for communities and a rules based methodology to clearly parse these events.info:eu-repo/semantics/acceptedVersio
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