• Corpus ID: 14208404

Synchronization of driven nonlinear oscillators

  title={Synchronization of driven nonlinear oscillators},
  author={R. V. Jensena},
Mathematical models of nonlinear oscillators are used to describe a wide variety of physical and biological phenomena that exhibit self-sustained oscillatory behavior. When these oscillators are strongly driven by forces that are periodic in time, they often exhibit a remarkable ‘‘mode-locking’’ that synchronizes the nonlinear oscillations to the driving force. The purpose of this paper is to demonstrate that a similar phenomenon occurs when nonlinear oscillators are strongly driven by a force… 
Macroscopic oscillations locked and synchronized on fixed energy levels by two cooperating drives
It was unknown whether the energy of a macroscopic object can be confined to a set of discrete values like the energy levels of microscopic systems. Here, through the numerical simulation and
Synchronous oscillations locked on classical energy levels by two cooperating drives
It is intuitively imagined that the energy of a classical object always takes continues values and can hardly be confined to discrete ones like the energy levels of microscopic systems. Here, we
Design of an Intelligent Control Scheme for Synchronizing Two Coupled Van Der Pol Oscillators R.Narmatha*, T.S.Murugesh and J.Krishnan
Out of the various control schemes to entrain two Van der pol oscillators to synchronize over time, the simulation results quantify that the proposed intelligent Fuzzy Logic Control (FLC) scheme gives optimal performance ahead of the rest.
Effects of Chaotic Perturbation on a Periodic Gunn Oscillator
We have studied dynamics of a periodic X-band Gunn oscillator (GO) forced by microwave chaotic signals through numerical simulation and by hardware experiment. The chaos used as forcing signal is
Synchronization induced by external forces in modular networks
It is found that topological modules do not contain purely anamotical groups or functional classes, and that stimulating different classes of neurons lead to very different responses, measured in terms of synchronization and phase velocity correlations.
Synchronisation and stability in nonautonomous oscillatory systems
The thesis illustrates that time-variability can be either beneficial or detrimental to synchronous dynamics, and investigates in detail and gives insight about cases of both, and argues towards the general fact that short-term dynamics is often crucial to a physically relevant understanding of nonautonomous systems.
Amplitude and frequency dependence of spike timing: implications for dynamic regulation.
The observations demonstrate that the ability of a neuron to support a spike-time code can be actively controlled by varying the properties of the neuron and its input.
Pattern segmentation with activity dependent natural frequency shift and sub-threshold resonance
It is shown that sub-threshold neuronal depolarization from synaptic coupling or external input can shift neurons into and out of resonance with specific bands of existing extracellular oscillations, and this can act as a dynamic readout mechanism during information storage and retrieval.


Synchronization of randomly driven nonlinear oscillators
When nonlinear oscillators with stable limit cycles are subject to periodic forces, these oscillators may become entrained or mode locked to the driving force. Remarkably, a similar phenomenon occurs
Phase synchronization of chaotic oscillators.
The new effect of phase synchronization of weakly coupled self-sustained chaotic oscillators is presented, and a relation between the phase synchronization and the properties of the Lyapunov spectrum is studied.
Analysis and synthesis of synchronous periodic and chaotic systems.
  • He, Vaidya
  • Physics
    Physical review. A, Atomic, molecular, and optical physics
  • 1992
A necessary and sufficient condition for synchronization is presented and has been used to create a high-dimensional chaotic system with a nonlinear subsystem that shows synchronization both when it exhibits periodic limit cycles and when it turns chaotic.
Synchronization in chaotic systems.
This chapter describes the linking of two chaotic systems with a common signal or signals and highlights that when the signs of the Lyapunov exponents for the subsystems are all negative the systems are synchronized.
Driving systems with chaotic signals.
  • Pecora, Carroll
  • Physics
    Physical review. A, Atomic, molecular, and optical physics
  • 1991
It is shown that driving with chaotic signals can be done in a robust fashion, rather insensitive to changes in system parameters, and the calculation of the stability criteria leads naturally to an estimate for the convergence of the driven system to its stable state.
Dynamics of nonlinear dissipative oscillators
In this paper we review some of the important concepts and theorems dealing with nonlinear dissipative oscillators in the presence of random and deterministic periodic forces, with particular
Synchronization of randomly driven nonlinear oscillators and the reliable firing of cortical neurons
A recent re-examination of single neuron recordings in the monkey visual cortex, measured while viewing repeated presentations of random dot patterns on a TV screen, revealed that the complex firing patterns of these high level neurons are extraordinarily reliable and precise to a few milliseconds.
Beyond . a pacemaker ’ s entrainment limit : phase walk-through
maker's entrainment limit: phase walk-through. occurs when a pacemaker is externally stimulated at too high a rate, beyond the entrainment limit. One may then observe phase walk-through: the
Resonance effect for neural spike time reliability.
These observations suggest that, when the magnitude of input fluctuations is small, changes in the power spectrum of the current fluctuations or in the spike discharge rate can have a pronounced effect on the ability of the neuron to encode a time-varying input with reliably timed spikes.