"This book focuses on the following research topics, namely: novel fractional-order chaotic systems, their synchronization schemes, their bifurcations, and their control along with their applications in engineering and computer science"--

Since the days of Lev Pontryagin and his associates, the discipline of Optimal Control has enjoyed a tremendous upswing - not only in terms of its mathematical foundations, but also with regard to numerous fields of application, which have given rise to highly active research areas. Few...

This book pursues a nonlinear approach in considering both chaotic dynamical models and agent-based simulation models of economics, as well as their dynamical behaviors. Three key concepts arising in this context are “nonlinearity,” “bounded rationality” and “heterogeneity,” which...

Lineare und nichtlineare dynamische Systeme werden in der aktuellen wirtschaftswissenschaftlichen Forschung immer wichtiger und ermöglichen ein tieferes Verständnis sowohl für geordnete wie auch chaotische Abläufe der Konjunktur und der Finanzmärkte. Mathematische Methoden, die in den...

This paper surveys work on dynamic heterogeneous agent models (HAMs) in economics and finance. Emphasis is given to simple models that, at least to some extent, are tractable by analytic methods in combination with computational tools. Most of these models are behavioral models with boundedly...

These notes review two simple heterogeneous agent models in economics and finance. The first is a cobweb model with rational versus naive agents introduced in Brock and Hommes (1997). The second is an asset pricing model with fundamentalists versus technical traders introduced in Brock and...