This chapter surveys a restricted but useful class of dynamical systems, namely, those enjoying a comparisonprinciple with respect to a closed order relation on the state space.Such systems,… Expand

Soit (X, Φ) un systeme dynamique: X est un espace topologique et le flot Φ={Φ t } t∈R+ est une famille d'applications continues de sous-ensembles ouverts de X dans X. On decrit qualitativement le… Expand

A vector field in n-space determines a competitive (or cooperative) system of differential equations provided all of the off-diagonal terms of its Jacobian matrix are nonpositive (or nonnegative).… Expand

turns out that they STABLE MANIFOLDS AND HYPERBOLIC SETS ' MORRIS W. I-{HIRSCH AND CHARLES c. PUGH - 0. Introduction. Let U be an open set in a smooth manifold M and f '.U —» M a C‘ map. A ﬁxed point… Expand

Abstract Fictitious play in infinitely repeated, randomly perturbed games is investigated. Dynamical systems theory is used to study the Markov process { x k }, whose state vector x k lists the… Expand

A drive nut is mounted at one end of a load distributing carriage through which passes a threaded shaft which is fixed against rotation and engaged with said nut. The nut is rotationally driven about… Expand