We study the nature and dependence on parameters of certain invariant sets of
noninvertible maps of the plane. The invariant sets we consider are unstable manifolds of …

1.1 BACKGROUND Our goal is to present the fundamentals of two-dimensional (2D)
iteration theory through examples, with extensive graphics (for which the 2D context is ideal) …

A dynamic Cournot duopoly game, whose time evolution is modeled by the iteration of a
map T:(x, y)→(r1 (y), r2 (x)), is considered. Results on the existence of cycles and more …

This paper analyses the dynamics of a model of a share market consisting of two groups of
traders: fundamentalists, who base their trading decisions on the expectation of a return to …

This paper concerns the study of the Allee effect on the dynamical behavior of a new class of
generalized logistic maps. The fundamentals of the dynamics of this 4-parameter family of …

We study complex dynamics of the Chialvo model that is the simplest neuron-type model in
form of a four-parameter family of two-dimensional noninvertible maps (endomorphisms) …

We develop a financial market model with heterogeneous interacting agents: market makers
adjust prices with respect to excess demand, chartists believe in the persistence of bull and …

In this paper we demonstrate how the global dynamics of an economic model can be
analyzed. In particular, as an application, we consider a market share attraction model …

We consider a growth model proposed by Matsuyama [K. Matsuyama, Growing through
cycles, Econometrica 67 (2)(1999) 335–347] in which two sources of economic growth are …

Several endomorphisms of a plane have been constructed by coupling two logistic maps.
Here we study the dynamics occurring in one of them, a twisted version due to J. Dorband …