Proceeding of International Conference
Quentin Brandon, Tetsushi Ueta, Takuji Kousaka, Daniele Fournier-Prunaret, Numerical Bifurcation Analysis of Systems with Variable Switching Conditions, Proc. NOLTA'08, 160-163, Budapest, Sep. 2008.
Abstract: In this paper, we consider a method of numerical bifurcation analysis of nonlinear switched autonomous systems. Its development is motivated by several factors: linear systems can be studied through analytical approaches; smooth and non-autonomous systems can be studied using a standard periodical Poincar´e map. Our goal is to develop a method as general as possible and implement it as a computer-based tool. The main evolution we will describe this time is the possible treatment of variable switching conditions.