Bifurcations in a Coupled Rössler System

Tetsuya YOSHINAGA; Hiroyuki KITAJIMA; Hiroshi KAWAKAMI

Bifurcations in a Coupled Rössler System

Tetsuya YOSHINAGA, Hiroyuki KITAJIMA, Hiroshi KAWAKAMI

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We propose an equivalent circuit model described by the Rössler equation. Then we can consider a coupled Rössler system with a physical meaning on the connection. We consider an oscillatory circuit such that two identical Rössler circuits are coupled by a resistor. We have studied three routes to entirely and almost synchronized chaotic attractors from phase-locked periodic oscillations. Moreover, to simplify understanding of synchronization phenomena in the coupled Rössler system, we investigate a mutually coupled map that shows analogous locking properties to the coupled Rössler System.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E78-A No.10 pp.1276-1280

Publication Date: 1995/10/25

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Type of Manuscript: Special Section PAPER (Special Section on Nonlinear Theory and Its Applications)

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Tetsuya YOSHINAGA, Hiroyuki KITAJIMA, Hiroshi KAWAKAMI, "Bifurcations in a Coupled Rössler System" in IEICE TRANSACTIONS on Fundamentals, vol. E78-A, no. 10, pp. 1276-1280, October 1995, doi: .
Abstract: We propose an equivalent circuit model described by the Rössler equation. Then we can consider a coupled Rössler system with a physical meaning on the connection. We consider an oscillatory circuit such that two identical Rössler circuits are coupled by a resistor. We have studied three routes to entirely and almost synchronized chaotic attractors from phase-locked periodic oscillations. Moreover, to simplify understanding of synchronization phenomena in the coupled Rössler system, we investigate a mutually coupled map that shows analogous locking properties to the coupled Rössler System.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/e78-a_10_1276/_p

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@ARTICLE{e78-a_10_1276,
author={Tetsuya YOSHINAGA, Hiroyuki KITAJIMA, Hiroshi KAWAKAMI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Bifurcations in a Coupled Rössler System},
year={1995},
volume={E78-A},
number={10},
pages={1276-1280},
abstract={We propose an equivalent circuit model described by the Rössler equation. Then we can consider a coupled Rössler system with a physical meaning on the connection. We consider an oscillatory circuit such that two identical Rössler circuits are coupled by a resistor. We have studied three routes to entirely and almost synchronized chaotic attractors from phase-locked periodic oscillations. Moreover, to simplify understanding of synchronization phenomena in the coupled Rössler system, we investigate a mutually coupled map that shows analogous locking properties to the coupled Rössler System.},
keywords={},
doi={},
ISSN={},
month={October},}

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TY - JOUR
TI - Bifurcations in a Coupled Rössler System
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1276
EP - 1280
AU - Tetsuya YOSHINAGA
AU - Hiroyuki KITAJIMA
AU - Hiroshi KAWAKAMI
PY - 1995
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E78-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 1995
AB - We propose an equivalent circuit model described by the Rössler equation. Then we can consider a coupled Rössler system with a physical meaning on the connection. We consider an oscillatory circuit such that two identical Rössler circuits are coupled by a resistor. We have studied three routes to entirely and almost synchronized chaotic attractors from phase-locked periodic oscillations. Moreover, to simplify understanding of synchronization phenomena in the coupled Rössler system, we investigate a mutually coupled map that shows analogous locking properties to the coupled Rössler System.
ER -