BURSTING SOLUTIONS OF THE RÖSSLER EQUATIONS

A. C. Fowler; M. J. McGuinness

doi:10.1017/S144618112300010X

BURSTING SOLUTIONS OF THE RÖSSLER EQUATIONS

A. C. Fowler, M. J. McGuinness

Department of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We provide an analytic solution of the Rössler equations based on the asymptotic limit c → ∞ and we show in this limit that the solution takes the form of multiple pulses, similar to burst firing of neurons. We are able to derive an approximate Poincaré map for the solutions, which compares reasonably with a numerically derived map.

Original language	English
Pages (from-to)	93-110
Number of pages	18
Journal	ANZIAM Journal
Volume	65
Issue number	1-2
DOIs	https://doi.org/10.1017/S144618112300010X
Publication status	Published - 10 Jan 2023

Keywords

asymptotic solution
Rössler equations

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10.1017/S144618112300010X

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abstract = "We provide an analytic solution of the R{\"o}ssler equations based on the asymptotic limit c → ∞ and we show in this limit that the solution takes the form of multiple pulses, similar to burst firing of neurons. We are able to derive an approximate Poincar{\'e} map for the solutions, which compares reasonably with a numerically derived map.",

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BURSTING SOLUTIONS OF THE RÖSSLER EQUATIONS

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Keywords

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