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We propose a method of community detection that is computationally inexpensive and possesses physical significance to a member of a social network. This method is unlike many divisive and agglomerative techniques and is local in the sense that a community can be detected within a network without requiring knowledge of the entire network. A global… (More)

We propose a novel method of community detection that is computationally inexpensive and possesses physical significance to a member of a social network. This method is unlike many divisive and agglomerative techniques and is local in the sense that a community can be detected within a network without requiring knowledge of the entire network. A global… (More)

Symbolic representations of controlled chaotic orbits produced by signal generators can be used for communicating. In this Letter, communicating with chaos is investigated by using more realistic dynamical systems described by two-dimensional invertible maps. The major difficulty is how to specify a generating partition so that a good symbolic dynamics can… (More)

In previous work [J. empirical evidence indicated that a time-varying network could propagate sufficient information to allow synchronization of the sometimes coupled oscillators, despite an instantaneously disconnected topology. We prove here that if the network of oscillators synchronizes for the static time-average of the topology, then the network will… (More)

Standard graph theoretic algorithms are applied to chaotic dynamical systems to identify orbits that are optimal relative to a prespecified cost function. We reduce the targeting problem to the problem of finding optimal paths through a graph. Numerical experiments on one-dimensional maps suggest that periodic saddle orbits of low period are typically less… (More)

Mixing and coherence are essential topics for understanding and describing transport in fluid dynamics and other nonautonomous dynamical systems. Only recently has the idea of coherence gained more serious footing, particularly with the recent advances of finite-time studies of nonautonomous dynamical systems. Here we define shape coherent sets as a means… (More)

- Karol Zyczkowski, Erik M Bollt
- 1998

To analyze the trade-off between channel capacity and noise-resistance in designing dynamical systems to pursue the idea of communications with chaos, we perform a measure theoretic analysis the topological entropy function of a " gap-tent map " whose invariant set is an unstable chaotic saddle of the tent map. Our model system, the " gap-tent map " is a… (More)

BACKGROUND
The purposes of this study were to determine the validity and reliability of high resolution accelerometers (HRA) relative to VO(2) and speed, and compare putative differences in HRA signal between trained (T) and untrained (UT) runners during treadmill locomotion.
METHODOLOGY
Runners performed 2 incremental VO(2max) trials while wearing HRA.… (More)

While the field of dynamical systems has been focused on properties which are invariant to " good " change of variables, namely conjugacy, which is an equivalence relationship, when using dynami-cal systems methods in science and modeling, there lacks a dynamical way to compare dynamical systems, even when they are in some sense " close. " In [7, 8], we… (More)

In this paper we present, the design and modeling of the novel nonlinear limiter control feedback control plant [Myneni et al. applied for the first time here in an aeroelastic system, and actuated as a jet reaction torquer control of a wing with potentially chaotic dynamics. This study will provide a better understanding of the nonlinear dynamics of the… (More)