Cusps in a Strong Resonancies Organizated for a Degenerate Takens-Bogdanov in the Chua's Equations
Summary :
The main objective of this work is to provide a deep understanding of the periodic behaviour corresponding to a homoclinic related to the Takens-Bogdanov (double-zero eigenvalue of the linearization matrix) and the periodic behaviour of the torus bifurcation related to the Hopf-Pitchfork bifurcation (a pair of imaginary eigenvalues and the third one zero) corresponding to some sections of a triple-zero eigenvalue bifurcation in the Chua's equation with a cubic nonlinearity.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E84-A No.9 pp.2138-2144
- Publication Date
- 2001/09/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Nonlinear Theory and its Applications)
- Category
- Chaos & Dynamics
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Antonio ALGABA, Cristobal GARCIA, Manuel MAESTRE, Manuel MERINO, "Cusps in a Strong Resonancies Organizated for a Degenerate Takens-Bogdanov in the Chua's Equations" in IEICE TRANSACTIONS on Fundamentals,
vol. E84-A, no. 9, pp. 2138-2144, September 2001, doi: .
Abstract: The main objective of this work is to provide a deep understanding of the periodic behaviour corresponding to a homoclinic related to the Takens-Bogdanov (double-zero eigenvalue of the linearization matrix) and the periodic behaviour of the torus bifurcation related to the Hopf-Pitchfork bifurcation (a pair of imaginary eigenvalues and the third one zero) corresponding to some sections of a triple-zero eigenvalue bifurcation in the Chua's equation with a cubic nonlinearity.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e84-a_9_2138/_p
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@ARTICLE{e84-a_9_2138,
author={Antonio ALGABA, Cristobal GARCIA, Manuel MAESTRE, Manuel MERINO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Cusps in a Strong Resonancies Organizated for a Degenerate Takens-Bogdanov in the Chua's Equations},
year={2001},
volume={E84-A},
number={9},
pages={2138-2144},
abstract={The main objective of this work is to provide a deep understanding of the periodic behaviour corresponding to a homoclinic related to the Takens-Bogdanov (double-zero eigenvalue of the linearization matrix) and the periodic behaviour of the torus bifurcation related to the Hopf-Pitchfork bifurcation (a pair of imaginary eigenvalues and the third one zero) corresponding to some sections of a triple-zero eigenvalue bifurcation in the Chua's equation with a cubic nonlinearity.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - Cusps in a Strong Resonancies Organizated for a Degenerate Takens-Bogdanov in the Chua's Equations
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2138
EP - 2144
AU - Antonio ALGABA
AU - Cristobal GARCIA
AU - Manuel MAESTRE
AU - Manuel MERINO
PY - 2001
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E84-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2001
AB - The main objective of this work is to provide a deep understanding of the periodic behaviour corresponding to a homoclinic related to the Takens-Bogdanov (double-zero eigenvalue of the linearization matrix) and the periodic behaviour of the torus bifurcation related to the Hopf-Pitchfork bifurcation (a pair of imaginary eigenvalues and the third one zero) corresponding to some sections of a triple-zero eigenvalue bifurcation in the Chua's equation with a cubic nonlinearity.
ER -
English
