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Papers by Santiago Gil
Models of phase oscillators are a universal tool for the study of collective dynamics in periodic... more Models of phase oscillators are a universal tool for the study of collective dynamics in periodic systems. The interactions of otherwise regular periodic elements may produce various kinds of behavior, amongst which chaos and incoherence may not be desirable. The objective of this work is to study possible methods to control chaos and disorder in systems of interacting oscillators, and to study the different kinds of dynamical states that can be induced in the process. Systems of coupled phase oscillators are considered, which include phase shifts in the interactions between each pair of elements. This phase shift can lead to a desynchronization transition in a globally coupled system of identical oscillators. Under these conditions, we investigate the effect of external common noise acting on all elements. We observe that when such noise is weak, it gives rise to the formation of clusters in the system, whereas strong noise intensities bring the system to a synchronized state. When...
Physical Review E, 2009
Random networks of coupled phase oscillators with phase shifts in the interaction functions are c... more Random networks of coupled phase oscillators with phase shifts in the interaction functions are considered. In such systems, extensive chaos ͑turbulence͒ is observed in a wide range of parameters. We show that, by introducing global feedback, the turbulence can be suppressed and a transition to synchronous oscillations can be induced. Our attention is focused on the transition scenario and the properties of patterns, including intermittent turbulence, which are found at the edge of chaos. The emerging coherent patterns represent various self-organized active ͑sub͒networks whose size and behavior can be controlled.
Models of phase oscillators are a universal tool for the study of collective dynamics in periodic... more Models of phase oscillators are a universal tool for the study of collective dynamics in periodic systems. The interactions of otherwise regular periodic elements may produce various kinds of behavior, amongst which chaos and incoherence may not be desirable. The objective of this work is to study possible methods to control chaos and disorder in systems of interacting oscillators, and to study the different kinds of dynamical states that can be induced in the process. Systems of coupled phase oscillators are considered, which include phase shifts in the interactions between each pair of elements. This phase shift can lead to a desynchronization transition in a globally coupled system of identical oscillators. Under these conditions, we investigate the effect of external common noise acting on all elements. We observe that when such noise is weak, it gives rise to the formation of clusters in the system, whereas strong noise intensities bring the system to a synchronized state. When...
Physical Review E, 2009
Random networks of coupled phase oscillators with phase shifts in the interaction functions are c... more Random networks of coupled phase oscillators with phase shifts in the interaction functions are considered. In such systems, extensive chaos ͑turbulence͒ is observed in a wide range of parameters. We show that, by introducing global feedback, the turbulence can be suppressed and a transition to synchronous oscillations can be induced. Our attention is focused on the transition scenario and the properties of patterns, including intermittent turbulence, which are found at the edge of chaos. The emerging coherent patterns represent various self-organized active ͑sub͒networks whose size and behavior can be controlled.