Continuation of codim 1 bifurcations

MATCONT computes branches of codim 1 bifurcations of equilibria (namely, fold LP and Hopf H) and of limit cycles (fold of cycles LPC, period doubling PD and Neimark-Sacker NS). On these branches codimension 2 bifurcations of equilibria (CP,BT,ZH,HH,GH) and of limit cycles (CPC,R1,R3,R4,CH,LPNS,PDNS,R2, NSNS,LPPD and GPD) are detected and located, cf. the graph of adjacency in Figure 1.1. For the numerical methods used in the computation of the normal form coefficients, but also for the meaning and use of these coefficients we refer to [26] in the equilibrium case and to [10] in the limit cycle case. We note that the MATCONT directory LimitCycleCodim2 is exclusively devoted to the computation of normal form coefficients of codim 2 bifurcations of limit cycles.

Subsections