Transient chaos is a characteristic behaviour in nonlinear dynamics where trajectories in a
certain region of phase space behave chaotically for a while, before escaping to an external …

In this paper we study the Lorenz equations using the perspective of the Conley index
theory. More specifically, we examine the evolution of the strange set that these equations …

A dynamical system may be defined by a simple transition law-such as a map or a vector
field. The objective of most learning techniques is to reconstruct this dynamic transition law …

During the recent history of humanity, on the one hand economic systems of advanced
civilizations have achieved a great capacity in supplying their citizens with unimaginable …

Delay-coordinate maps have been widely used recently to study nonlinear dynamical
systems, where there is only access to the time series of one of their variables. Here, we …

En esta tesis se hace un desarrollo ede un método de control llamado control parcial que se
aplica a sistemas caóticos con escapes, con el fin de mantener la dinámica del sistema en …

This thesis has been developed during the past years in the Research Group on Nonlinear
Dynamics, Chaos and Complex Systems of the URJC. All this work is devoted to new …

Market collapse is one of the most dramatic events in economics. Such a catastrophic event
can emerge from the nonlinear interactions between the economic agents at the micro level …