The paper provides full algorithmic details on switching to the continuation of all possible
codim 1 cycle bifurcations from generic codim 2 equilibrium bifurcation points in n …

In this paper we focus on the combination of normal form and Lyapunov exponent
computations in the numerical study of the three codim 2 bifurcations of limit cycles with …

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 …

This Letter outlines 20 geometric mechanisms by which limit cycles are created locally in two-
dimensional piecewise-smooth systems of ODEs. These include boundary equilibrium …

Explicit computational formulas for the coefficients of the normal forms for all codim 2
equilibrium bifurcations of equilibria in autonomous ODEs are derived. They include second …

For many physical systems the transition from a stationary solution to sustained small
amplitude oscillations corresponds to a Hopf bifurcation. For systems involving impacts …

In a parameterized three-dimensional system of autonomous differential equations, a T-point
is a point of the parameter space where a special kind of codimension-2 heteroclinic cycle …

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

We discuss numerical methods for the computation and continuation of equilibria and
bifurcation points of equilibria of dynamical systems. We further consider the computation of …

We present a numerical technique for the analysis of local bifurcations which is based on the
continuation of structurally unstable invariant sets in a suitable phase-parameter space. The …