Journal article
BURSTING SOLUTIONS OF THE RÖSSLER EQUATIONS
- Abstract:
- Abstract We provide an analytic solution of the Rössler equations based on the asymptotic limit $c\to \infty $ 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 925.2KB, Terms of use)
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- Publisher copy:
- 10.1017/s144618112300010x
Authors
+ Science Foundation Ireland
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- Funder identifier:
- 10.13039/501100001602
- Grant:
- 12/IA/1683
- Publisher:
- Cambridge University Press
- Journal:
- The ANZIAM Journal (Australian and New Zealand Industrial and Applied Mathematics Journal) More from this journal
- Volume:
- 65
- Issue:
- 1-2
- Pages:
- 93-110
- Publication date:
- 2023-08-10
- DOI:
- EISSN:
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1446-8735
- ISSN:
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1446-1811
- Language:
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English
- Keywords:
- Pubs id:
-
1510289
- Local pid:
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pubs:1510289
- Source identifiers:
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W4385721061
- Deposit date:
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2026-05-12
- ARK identifier:
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Terms of use
- Copyright date:
- 2023
- Licence:
- CC Attribution (CC BY)
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