Combination of exhaustive search and continuation method for the study of sinks in the Hénon map

Zbigniew Galias; Warwick Tucker

doi:10.1109/ISCAS.2013.6572448

Combination of exhaustive search and continuation method for the study of sinks in the Hénon map

Zbigniew Galias, Warwick Tucker

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

1 Citation (Scopus)

Abstract

The problem of existence of stable periodic orbits (sinks) for the Hénon map in a neighborhood of classical parameter values is studied numerically. Several parameter values which sustain a sink are found. It is shown rigorously that the sinks exist. Regions of existence in the parameter space of the sinks are located using the continuation method.

Original language	English
Title of host publication	2013 IEEE International Symposium on Circuits and Systems, ISCAS 2013
Pages	2751-2754
Number of pages	4
DOIs	https://doi.org/10.1109/ISCAS.2013.6572448
Publication status	Published - 9 Sept 2013
Externally published	Yes
Event	IEEE International Symposium on Circuits and Systems 2013 - Beijing, China Duration: 19 May 2013 → 23 May 2013 https://ieeexplore.ieee.org/xpl/conhome/6560459/proceeding (Proceedings)

Publication series

Name	Proceedings - IEEE International Symposium on Circuits and Systems
ISSN (Print)	0271-4310

Conference

Conference	IEEE International Symposium on Circuits and Systems 2013
Abbreviated title	ISCAS 2013
Country/Territory	China
City	Beijing
Period	19/05/13 → 23/05/13
Internet address	https://ieeexplore.ieee.org/xpl/conhome/6560459/proceeding (Proceedings)

Access to Document

10.1109/ISCAS.2013.6572448

Cite this

@inproceedings{160f82503437443082afaca61743659f,

title = "Combination of exhaustive search and continuation method for the study of sinks in the H{\'e}non map",

abstract = "The problem of existence of stable periodic orbits (sinks) for the H{\'e}non map in a neighborhood of classical parameter values is studied numerically. Several parameter values which sustain a sink are found. It is shown rigorously that the sinks exist. Regions of existence in the parameter space of the sinks are located using the continuation method.",

author = "Zbigniew Galias and Warwick Tucker",

year = "2013",

month = sep,

day = "9",

doi = "10.1109/ISCAS.2013.6572448",

language = "English",

isbn = "9781467357609",

series = "Proceedings - IEEE International Symposium on Circuits and Systems",

pages = "2751--2754",

booktitle = "2013 IEEE International Symposium on Circuits and Systems, ISCAS 2013",

note = "IEEE International Symposium on Circuits and Systems 2013, ISCAS 2013 ; Conference date: 19-05-2013 Through 23-05-2013",

url = "https://ieeexplore.ieee.org/xpl/conhome/6560459/proceeding",

}

Galias, Z & Tucker, W 2013, Combination of exhaustive search and continuation method for the study of sinks in the Hénon map. in 2013 IEEE International Symposium on Circuits and Systems, ISCAS 2013. Proceedings - IEEE International Symposium on Circuits and Systems, pp. 2751-2754, IEEE International Symposium on Circuits and Systems 2013, Beijing, China, 19/05/13. https://doi.org/10.1109/ISCAS.2013.6572448

Combination of exhaustive search and continuation method for the study of sinks in the Hénon map. / Galias, Zbigniew; Tucker, Warwick.
2013 IEEE International Symposium on Circuits and Systems, ISCAS 2013. 2013. p. 2751-2754 (Proceedings - IEEE International Symposium on Circuits and Systems).

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

TY - GEN

T1 - Combination of exhaustive search and continuation method for the study of sinks in the Hénon map

AU - Galias, Zbigniew

AU - Tucker, Warwick

PY - 2013/9/9

Y1 - 2013/9/9

N2 - The problem of existence of stable periodic orbits (sinks) for the Hénon map in a neighborhood of classical parameter values is studied numerically. Several parameter values which sustain a sink are found. It is shown rigorously that the sinks exist. Regions of existence in the parameter space of the sinks are located using the continuation method.

AB - The problem of existence of stable periodic orbits (sinks) for the Hénon map in a neighborhood of classical parameter values is studied numerically. Several parameter values which sustain a sink are found. It is shown rigorously that the sinks exist. Regions of existence in the parameter space of the sinks are located using the continuation method.

UR - http://www.scopus.com/inward/record.url?scp=84883440041&partnerID=8YFLogxK

U2 - 10.1109/ISCAS.2013.6572448

DO - 10.1109/ISCAS.2013.6572448

M3 - Conference Paper

AN - SCOPUS:84883440041

SN - 9781467357609

T3 - Proceedings - IEEE International Symposium on Circuits and Systems

SP - 2751

EP - 2754

BT - 2013 IEEE International Symposium on Circuits and Systems, ISCAS 2013

T2 - IEEE International Symposium on Circuits and Systems 2013

Y2 - 19 May 2013 through 23 May 2013

ER -

Combination of exhaustive search and continuation method for the study of sinks in the Hénon map

Abstract

Publication series

Conference

Access to Document

Other files and links

Cite this