For Full-Text PDF, please login, if you are a member of IEICE,|
or go to Pay Per View on menu list, if you are a nonmember of IEICE.
A Method to Calculate Homoclinic Points of a Two-Dimensional Noninvertible Map
Tetsuya YOSHINAGA Hiroyuki KITAJIMA Hiroshi KAWAKAMI Christian MIRA
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1997/09/25
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Nonlinear Theory and its Applications)
noninvertible map, homoclinic point, bifurcation, coupled map, nonlinear problem,
Full Text: PDF(574.8KB)>>
A numerical method is presented for calculating transverse and non-transverse (or tangent) types of homoclinic points of a two-dimensional noninvertible map having an invariant set that reduces to a one-dimensional noninvertible map. To illustrate bifurcation diagrams of homoclinic points and transitions of chaotic states near the bifurcation parameter values, three systems including coupled chaotic maps are studied.