A METHOD TO CALCULATE BASIN BIFURCATION SETS FOR A TWO-DIMENSIONAL NONINVERTIBLE MAP

H. KITAJIMA, H. KAWAKAMI, C. MIRA
2000 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering  
In this paper we propose a numerical method to calculate basin bifurcation sets in a parameter space. It is known that the basin bifurcations always result from the contact of a basin boundary with the critical curve segment. A numerical example for a two-dimensional quadratic noninvertible map is illustrated and new results of basin bifurcations are shown.
doi:10.1142/s0218127400001274 fatcat:fancjfe5z5grhc4sjalyj7uuca