The purpose of this paper is to study the special forms of multimode dynamics that one can observe in systems with resource-mediated coupling, i.e., systems of self-sustained oscillators in which the coupling takes place via the distribution of primary resources that controls the oscillatory state of the individual unit. With this coupling, a spatially inhomogenous state with mixed high and lowamplitude oscillations in the individual units can arise. To examine generic phenomena associated with this type of interaction we consider a chain of resistively coupled electronic oscillators connected to a common power supply. The two-oscillator system displays antiphase synchronization, and it is interesting to note that two-mode oscillations continue to exist outside of the parameter range in which oscillations occur for the individual unit. At low coupling strengths, the multioscillator system shows high dimensional quasiperiodicity with little tendency for synchronization. At higher coupling strengths, one typically observes spatial clustering involving a few oscillating units. We describe three different scenarios according to which the cluster can slide along the chain as the bias voltage changes. © 2008 American Institute of Physics. ͓DOI: 10.1063/1.2805194͔ Systems of interacting nonlinear oscillators play an important role in many areas of science and technology. A rat kidney, for instance, contains of the order of 30 000 nephrons, each of which tends to display large amplitude oscillations in the regulation of its incoming blood flow. The arteriolar blood pressure controls the oscillatory state of the individual nephron. At the same time, the nephrons interact via the displacement of blood from one nephron to its neighbors produced by this oscillatory regulation. We refer to such structures, in which the oscillatory dynamics of the individual unit can no longer be separated from the coupling among the units, as a system with resource-mediated coupling. To examine some of the generic aspects of this type of system, the paper considers a chain of resistively coupled electronic oscillators sharing a common power supply. For low coupling strengths, the system tends to produce multimode dynamics in the form of high-dimensional quasiperiodicity with little tendency for synchronization. At higher coupling strengths the resource distributed chain displays spatial clustering involving a small number of oscillatory units. In all cases the distribution of individual amplitudes is highly inhomogeneous, showing an interesting example of spatiotemporal mixed-mode oscillations. We study the mechanisms by which this type of cluster slides along the chain as the external bias voltage is changed.
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