Chaos in a predator-prey system with impulsive perturbations and stage structure for the predator.
Coexisting cycles in a class of 3-D discrete maps
In this paper we consider the class of three-dimensional discrete maps M (x, y, z) = [φ(y), φ(z), φ(x)], where φ : ℝ → ℝ is an endomorphism. We show that all the cycles of the 3-D map M can be obtained by those of φ(x), as well as their local bifurcations. In particular we obtain that any local bifurcation is of co-dimension 3, that is three eigenvalues cross simultaneously the unit circle. As the map M exhibits coexistence...
Controllability, applications, and numerical simulations of cellular neural networks.
Coupled flare attractors -- a discrete prototype for economic modelling.
Cross-Gramian based model reduction for data-sparse systems.