The well-known game of Rock–Paper–Scissors can be used as a simple model of
competition between three species. When modelled in continuous time using differential …

The study of chaotic systems with symmetry is very well documented. However, very little is
known unfortunately about the dynamics of such systems when their symmetry is perturbed …

We investigate the impact of a constant force excitation on the dynamics of a simple jerk
system with piecewise quadratic nonlinearity. We demonstrate that in the presence of the …

We investigate the dynamics of a simple jerk circuit where the symmetry is broken by forcing
a dc voltage. The analysis shows that with a zero forcing dc voltage, the system displays a …

Symmetry is an important property found in a large number of nonlinear systems. The study
of chaotic systems with symmetry is well documented. However, the literature is …

We study the dynamics of a Z 2⊕ Z 2-equivariant vector field in the neighbourhood of a
heteroclinic network with a periodic trajectory and symmetric equilibria. We assume that …

Modelling chaotic and intermittent behaviour, namely the excursions and reversals of the
geomagnetic field, is a big problem far from being solved. Armbruster et al.[5] considered …

Our object of study is the dynamics that arises in generic perturbations of an asymptotically
stable heteroclinic cycle in S3. The cycle involves two saddle-foci of different type and is …

Robust heteroclinic cycles (RHCs) arise naturally in collections of symmetric differential
equations derived as dynamical models in many fields, including fluid mechanics, game …

We describe an example of a robust heteroclinic network for which nearby orbits exhibit
irregular but sustained switching between the various sub-cycles in the network. The …