THE DYNAMICS AT THE INTERSECTION BETWEEN THE CUSP AND BOGDANOV-TAKENS BIFURCATION
Livia Owen, Johan Matheus Tuwankotta

1. Department of Mathematics, Parahyangan Catholic University, Bandung, Indonesia.
2. Department of Mathematics, Institut Teknologi Bandung, Indonesia.

Abstract

Consider a predator-prey type of system with non-monotonous response function, Holling Type IV, that models group defense mechanism response of the prey. A global analysis has been investigated by Broer. We are interested in the interaction between Cusp and Bogdanov-Takens bifurcation. At some point, this bifurcation collide and create a codimension 3 bifurcation.

Keywords: Cusp bifurcation, Bogdanov-Takens bifurcation, codimension 3 bifurcation, Holling response function,

Topic: Minisymposia Dynamical Systems