A systematic approach to find periodic sinks of the Henon map close to the classical case

Zbigniew Galias; Warwick Tucker

A systematic approach to find periodic sinks of the Henon map close to the classical case

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research

Abstract

Using the combination of a method to find low period unstable periodic orbits and the continuation method it is demonstrated that there exist low-period sinks extremely close to the classical parameter values of the Henon map. The problem why these low-period sinks are rarely observed in computer simulations is discussed.

Original language	English
Title of host publication	Proceedings of the 2014 International Symposium on Nonlinear Theory and its Applications (NOLTA2014)
Place of Publication	Japan
Publisher	Institute of Electronics, Information and Communications Engineers (IEICE)
Pages	771-774
Number of pages	4
Publication status	Published - 2014
Externally published	Yes
Event	International Symposium on Nonlinear Theory and Its Applications, 2014 - Lucerne, Switzerland Duration: 14 Sep 2014 → 18 Sep 2014

Conference

Conference	International Symposium on Nonlinear Theory and Its Applications, 2014
Abbreviated title	NOLTA14
Country	Switzerland
City	Lucerne
Period	14/09/14 → 18/09/14

Access to Document

314452279-oaFinal published version, 403 KB

https://www.ieice.org/nolta/symposium/archive/2014/articles/D2L-C2-6034.pdf

Cite this

Galias, Z., & Tucker, W. (2014). A systematic approach to find periodic sinks of the Henon map close to the classical case. In Proceedings of the 2014 International Symposium on Nonlinear Theory and its Applications (NOLTA2014) (pp. 771-774). Institute of Electronics, Information and Communications Engineers (IEICE). https://www.ieice.org/nolta/symposium/archive/2014/articles/D2L-C2-6034.pdf

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title = "A systematic approach to find periodic sinks of the Henon map close to the classical case",

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year = "2014",

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booktitle = "Proceedings of the 2014 International Symposium on Nonlinear Theory and its Applications (NOLTA2014)",

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Galias, Z & Tucker, W 2014, A systematic approach to find periodic sinks of the Henon map close to the classical case. in Proceedings of the 2014 International Symposium on Nonlinear Theory and its Applications (NOLTA2014). Institute of Electronics, Information and Communications Engineers (IEICE), Japan, pp. 771-774, International Symposium on Nonlinear Theory and Its Applications, 2014, Lucerne, Switzerland, 14/09/14. <https://www.ieice.org/nolta/symposium/archive/2014/articles/D2L-C2-6034.pdf>

A systematic approach to find periodic sinks of the Henon map close to the classical case. / Galias, Zbigniew; Tucker, Warwick.

Proceedings of the 2014 International Symposium on Nonlinear Theory and its Applications (NOLTA2014). Japan : Institute of Electronics, Information and Communications Engineers (IEICE), 2014. p. 771-774.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research

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PY - 2014

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PB - Institute of Electronics, Information and Communications Engineers (IEICE)

CY - Japan

T2 - International Symposium on Nonlinear Theory and Its Applications, 2014

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