Abstract
Assuming a 2-parameter-dependent family of smooth Z 2 -equivariant vector fields, a symmetry-breaking Takens-Bogdanov point is considered as an isolated organizing centre. Two branches of symmetry-breaking and asymmetric Hopf bifurcation points as well as one branch of Z 2 -pitchforks which emanate from the organizing centre are analyzed via asymptotic expansions. Leading terms of these expansions are calculated explicitly. The input data are differentials (up to third order) of the mapping evaluated at the organizing centre along specified directions
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
