2003
DOI: 10.1103/physrevlett.91.244101
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Experimental Observation of Multifrequency Patterns in Arrays of Coupled Nonlinear Oscillators

Abstract: Frequency-related oscillations in coupled oscillator systems, in which one or more oscillators oscillate at different frequencies than the other oscillators, have been studied using group theoretical methods by Armbruster and Chossat [Phys. Lett. A 254, 269 (1999)] and more recently by Golubitsky and Stewart [in Geometry, Mechanics, and Dynamics, edited by P. Newton, P. Holmes, and A. Weinstein (Springer, New York, 2002), p. 243]. We demonstrate, experimentally, via electronic circuits, the existence of freque… Show more

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Cited by 51 publications
(29 citation statements)
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“…Such examples of the stabilization of in-phase arrays occur in such areas as electronic circuits for radar [18] , phase locked nano-scale magnets used for microwave sources [19], power systems [20], and Josephson junction arrays used for terahertz sources [21]. …”
Section: Discussionmentioning
confidence: 99%
“…Such examples of the stabilization of in-phase arrays occur in such areas as electronic circuits for radar [18] , phase locked nano-scale magnets used for microwave sources [19], power systems [20], and Josephson junction arrays used for terahertz sources [21]. …”
Section: Discussionmentioning
confidence: 99%
“…Injection-locking in electronic oscillators are found in applications involving frequency synthesis, frequency division and phase-locked loops [2] [3] [4] [5]. Injection locking can be achieved in relaxation oscillators like ring oscillators with inherent nonlinearity, or in harmonic oscillators with sufficient nonlinearity added by active elements [6].…”
Section: A Injection-locking Oscillatorsmentioning
confidence: 99%
“…It is now widely accepted (see, e.g., [7,8]) that traffic flow can be considered as a particular example of collective nonequilibrium behavior of asymmetrically coupled elements and that many collective phenomena such as nonequilibrium phase transitions, nonlinear dynamical behavior, bifurcations, and pattern formations are inherent features of traffic flow models [9,10]. Other examples of asymmetrically coupled elements are intersegmental coordination of the neural networks responsible for generation of bipedal locomotion [11,12], electronic circuits [13], multiple robotic systems [14], etc.…”
Section: Introductionmentioning
confidence: 99%
“…Here H is the safety distance between a car and the car that is in front of it. Thus, the safety distance is defined as the distance between cars for which the optimal velocity is 042803-1 1539-3755/2013/88(4)/042803 (13) ©2013 American Physical Society equal to zero: V(0) = 0. The optimal velocity V(u) is assumed to be expressed as a dimensionless sigmoidal function of the distance between cars [V(∞) = 1].…”
Section: Introductionmentioning
confidence: 99%