Cusps in a strong resonancies organizated for a degenerate Takens-Bogdanovin the Chua's equations

Authors
Algaba, A Garcia, C Maestre, M Merino, M
Citation
A. Algaba et al., Cusps in a strong resonancies organizated for a degenerate Takens-Bogdanovin the Chua's equations, IEICE T FUN, E84A(9), 2001, pp. 2138-2144
Citations number
17
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
ISSN journal
09168508 → ACNP
Volume
E84A
Issue
9
Year of publication
2001
Pages
2138 - 2144
Database
ISI
SICI code
0916-8508(200109)E84A:9<2138:CIASRO>2.0.ZU;2-7
Abstract
The main objective of this work is to provide a deep understanding of the p eriodic behaviour corresponding to a homoclinic related to the Takens-Bogda nov (double-zero eigenvalue of the linearization matrix) and the periodic b ehaviour 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 equatio n with a cubic nonlinearity.