✦ LIBER ✦

Synchronization for two coupled oscillators with inhibitory connection

✍ Scribed by Ke Xiao; Shangjiang Guo

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 372 KB
Volume: 33
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1225

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In this paper we present an oscillatory neural network composed of two coupled neural oscillators with inhibitory connections. Each of the oscillators describes the dynamics of average activities of excitatory and inhibitory populations of neurons. Regarding time delays τ as the bifurcation parameter, we not only obtain the existence of Hopf bifurcations but also investigate the bifurcation direction and stability of bifurcated periodic solutions by employing normal form theory and center manifold reduction. Finally, numerical simulations are provided to illustrate the theoretical results. Copyright © 2009 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Four-phase oscillations observed in two

Four-phase oscillations observed in two oscillators coupled with nonlinear inductors

✍ Yuji Katsuta; Hiroshi Kawakami 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 422 KB

MULTIPLE EXTERNAL EXCITATIONS FOR TWO NO

MULTIPLE EXTERNAL EXCITATIONS FOR TWO NON-LINEARLY COUPLED VAN DER POL OSCILLATORS

✍ A. MACCARI 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 198 KB

A MODEL SYSTEM FOR THE BEHAVIOR OF TWO N

A MODEL SYSTEM FOR THE BEHAVIOR OF TWO NON-LINEARLY COUPLED OSCILLATORS

✍ A. Maccari 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 282 KB

This paper presents a systematic analysis approach for the study of two non-linearly coupled oscillators, with incommensurable fundamental frequencies. The asymptotic perturbation method is used to analyze a bifurcation problem of codimension two. It is found that the amplitude modulation equations

Continuous dynamics for a linear coupled

Continuous dynamics for a linear coupled-oscillator array with peripheral coupling-phase adjustments

✍ Jung Ho Yoon; Noh-Hoon Myung 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 185 KB

## Abstract A continuum model of the dynamics for a coupled‐oscillator array that presents an intuitive insight into the behavior of the frequency‐tuned array was introduced recently. In this paper, we further develop the continuous dynamics for the coupled‐oscillator array with a coupling‐phase ad

DYNAMIC RESPONSE OF TWO ROTORS CONNECTED

DYNAMIC RESPONSE OF TWO ROTORS CONNECTED BY RIGID MECHANICAL COUPLING WITH PARALLEL MISALIGNMENT

✍ K.M. AL-HUSSAIN; I. REDMOND 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 364 KB

The e!ect of parallel misalignment on the lateral and torsional responses of two rotating shafts (Je!cott rotors) is examined with theoretical and numerical analysis. The general equations of motion are derived and given in dimensionless form to represent the general case. The equations of motion re

Stability analysis of wideband linear bi

Stability analysis of wideband linear bipolar varactor-controlled oscillator with two-coupled resonant circuits

✍ A. V. Grebennikov 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 162 KB 👁 1 views

Theoretical analysis of the stability conditions of the steady-state operation modes and tuning bandwidth characteristics of bipolar self-biased varactor-controlled oscillator (VCO) with two-coupled resonant circuits are presented. The recommendations at the choice of the circuit and varactor parame