BIFURCATION AND CHAOS IN COUPLED BVP OSCILLATORS-Reference-Cited by-同舟云学术

BIFURCATION AND CHAOS IN COUPLED BVP OSCILLATORS

Published:2004-04 Issue:04 Volume:14 Page:1305-1324
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

UETA TETSUSHI¹,MIYAZAKI HISAYO²,KOUSAKA TAKUJI³,KAWAKAMI HIROSHI⁴

Affiliation:

1. Center for Advanced Information Technology, Tokushima University, Japan

2. Department of Information Science and Intelligent Systems, Tokushima University, Japan

3. Department of Electronics and Electrical Engineering, Fukuyama University, Japan

4. Department of Electrical and Electronics Engineering, Tokushima University, Japan

Abstract

Bonhöffer–van der Pol(BVP) oscillator is a classic model exhibiting typical nonlinear phenomena in the planar autonomous system. This paper gives an analysis of equilibria, periodic solutions, strange attractors of two BVP oscillators coupled by a resister. When an oscillator is fixed its parameter values in nonoscillatory region and the others in oscillatory region, create the double scroll attractor due to the coupling. Bifurcation diagrams are obtained numerically from the mathematical model and chaotic parameter regions are clarified. We also confirm the existence of period-doubling cascades and chaotic attractors in the experimental laboratory.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127404009983

Reference17 articles.

1. Qualitative investigation of a particular nonlinear system

2. Mode analysis of a ring of a large number of mutually coupled van der Pol oscillators

3. Impulses and Physiological States in Theoretical Models of Nerve Membrane

Cited by 26 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Analysis of Reservoir Computing Using Oscillator Circuit;2024 IEEE International Symposium on Circuits and Systems (ISCAS);2024-05-19

2. Fuzzy Sampled-Data Stabilization of Hidden Oscillations in a Memristor-Based Dynamical System;International Journal of Bifurcation and Chaos;2023-09-15

3. Bursting multistability induced by double-Hopf bifurcation;Chaos: An Interdisciplinary Journal of Nonlinear Science;2023-08-01

4. Slow–Fast Dynamics of a Coupled Oscillator with Periodic Excitation;International Journal of Bifurcation and Chaos;2023-06-30

5. Bifurcation and chaotic behavior in the discrete BVP oscillator;International Journal of Non-Linear Mechanics;2021-05