We discuss new and improved algorithms for the bifurcation analysis of fixed points and
periodic orbits (cycles) of maps and their implementation in matcont, a MATLAB toolbox for …

Bifurcation software is an essential tool in the study of dynamical systems. From the
beginning (the first packages were written in the 1970's) it was also used in the modelling …

This book combines a comprehensive state-of-the-art analysis of bifurcations of discrete-
time dynamical systems with concrete instruction on implementations (and example …

Explicit computational formulas for the coefficients of the periodic normal forms for
codimension 2 (codim 2) bifurcations of limit cycles in generic autonomous ODEs are …

In this paper, we explain how to compute bifurcation parameter values of periodic solutions
for non-autonomous nonlinear differential equations. Although various approaches and …

Continuous dynamical systems that involve differential equations mostly contain parameters.
It can happen that a slight variation in a parameter can have significant impact on the …

In this chapter we shall describe some of the basic techniques used in the numerical
analysis of dynamical systems. We assume that low-level numerical routines like those for …

\rmCL\_MATCONT and MATCONT are MATLAB continuation packages for the interactive
numerical study of a range of parameterized nonlinear dynamical systems, in particular …

Explicit computational formulas for the coefficients of the periodic normal forms for all codim
1 bifurcations of limit cycles in generic autonomous ODEs are derived. They include second …

Numerical methods are often needed if bifurcation phenomena in nonlinear dynamical
systems are studied. In this paper the software system CANDYS/QA for numerical qualitative …