1,721,094 research outputs found
Chimeras on a social-type network
No full textWe consider a social-type network of coupled phase oscillators. Such a network consists of an active core of mutually interacting elements, and of a flock of passive units, which follow the driving from the active elements, but otherwise are not interacting. We consider a ring geometry with a long-range coupling, where active oscillators form a fluctuating chimera pattern. We show that the passive elements are strongly correlated. This is explained by negative transversal Lyapunov exponents
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Parametric Excitation of Breathers in a Nonlinear Lattice
No full textWe investigate localized periodic solutions (breathers) in a lattice of parametrically driven, nonlinear dissipative oscillators. These breathers are demonstrated to be exponentially localized, with two characteristic localization lengths. The crossover between the two lengths is shown to be related to the transition in the phase of the lattice oscillations. 1 Introduction Recently discovered localized periodic excitations (breathers) in nonlinear lattices are attracting large interest now [1, 2, 3]. It can be proven that such solutions exist for general nonlinear chains of oscillators, at least in the limit of small coupling between oscillators [4, ?]. Here the idea of the anti-continuous limit, where one starts with the dynamics of the uncoupled oscillators, is important. In the uncoupled chain, a localized solution can be constructed in a straightforward way by setting one oscillator in the periodic regime, while all the others are exactly at rest (at a fixed point). Such a solutio..
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