Global travertine deposition modulated by oscillations in climate

Achieving modulated oscillations by feedback control.

In this paper, we develop an approach to achieve either frequency or amplitude modulation of an oscillator merely through feedback control. We present and implement a unified theory of our approach for any finite-dimensional continuous dynamical system that exhibits oscillatory behavior. The approach is illustrated not only for the normal forms of dynamical systems but also for representative b...

Modulated oscillations in many dimensions.

Modulated oscillations are described via their time-varying amplitude and frequency. For multivariate signals, there is structure in the signal beyond this local amplitude and frequency defined for each signal component, in turn describing the commonality of the components. The multivariate structure encodes how the common oscillation is present in each component signal. This structure will als...

Behavioral Oscillations in Visual Attention Modulated by Task Difficulty

The spotlight of attention is full of discrete moments and operates periodically. Recently, it has been well-documented there were behavioral oscillations in visual attention, however, different periodicities were demonstrated. Task difficulty may be an important factor causing disagreement in attentional periodic patterns. The present study examined behavioral oscillations in visual attention ...

Oscillations in Nonlinear Pulse-modulated Control Systems

Periodical modes in nonlinear control systems with pulse-width and pulse-frequency modulation are considered. The existence of a fixed point for the shift operator along system’s trajectories is frequently used to establish the existence of a periodical mode. However, this method often fails for pulse modulated systems due to discontinuity of the shift operator. The new geometrical approach is ...

High frequency microbubble-switched oscillations modulated by microfluidic transistors