We propose dynamical systems trees (DSTs) as a flexible model for describing multiple processes that interact via a hierarchy of aggregating processes. DSTs extend nonlinear dynam...
In this paper we study a class of dynamical systems defined by Pfaffian maps. It is a sub-class of o-minimal dynamical systems which capture rich continuous dynamics and yet can be...
We review some results about the computational power of several computational models. Considered models have in common to be related to continuous dynamical systems. 1 Dynamical Sy...
Invariant tori are examples of invariant manifolds in dynamical systems. Usual tools in dynamical systems such as analysis and numerical simulations alone are often not sufficient...
Daryl H. Hepting, Gianne Derks, Kossi D. Edoh, Rob...
Arti cial Life and the more general area of Complex Systems does not have a uni ed theoretical framework although most theoretical work in these areas is based on simulation. This ...
We prove that several global properties (global convergence, global asymptotic stability, mortality, and nilpotence) of particular classes of discrete time dynamical systems are un...
Vincent D. Blondel, Olivier Bournez, Pascal Koiran...
Results from classical dynamical systems are generalized to hybrid dynamical systems. The concept of limit set is introduced for hybrid systems and is used to prove new results on...
Jun Zhang, Karl Henrik Johansson, John Lygeros, Sh...
Abstract. Well-known hierarchies discriminate between the computational power of discrete time and space dynamical systems. A contrario the situation is more confused for dynamical...
It is well known that in an o-minimal hybrid system the continuous and discrete components can be separated, and therefore the problem of finite bisimulation reduces to the same pr...