Open AccessThe principle of the phase track of Canard
Author(s) -
Ye Xu,
Jianxia Zhang,
Xu Xia,
Hong Zhou
Publication year - 2008
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.57.4029
Subject(s) - track (disk drive) , function (biology) , phase (matter) , nonlinear system , parametric statistics , physics , statistical physics , order (exchange) , computer science , classical mechanics , mathematics , quantum mechanics , biology , statistics , finance , evolutionary biology , economics , operating system
The complex phase tracks of Canard have caused concern of the scientists in the fields of physicsbiology and chemistry. In order to find the accurate function describing the phase track of Canarda nonlinear model involving consecutive segments is suggestedfrom which the analytical solution of the phase track function of a nonlinear second order autonomous function can be readily obtainedtherefore the function describing the phase track of a Canard and its parametric conditions can be obtained analytically. It follows that all the phase tracks can be simply described by two kinds of functions.