The book focuses on the dynamics of nonlinear oligopoly models. It discusses the classical Cournot model with a large variety of demand and cost functions that illustrate the many different types of possible best response functions and shows the existence of unique and multiple equilibria. Particular emphasis is placed on the influence of nonnegativity and capacity constraints. Dynamics are introduced under various assumptions for the adjustment process and the analysis of global dynamics is given through some specific examples.
Global Behavior of Nonlinear Difference Equations of Higher Order with Applications
This volume presents a systematic study of the global behaviour of solutions of nonlinear scalar difference equations of order greater than one. Of particular interest are aspects such as global asymptotic stability, periodicity, permanence and persistence, and also semicycles of solutions. As well as exposing the reader to the very frontiers of the subject, important open problems are also formulated.
Alessandra Celletti’s proposed book presents classical celestial mechanics and its interplay with dynamical systems in a way that would be suitable for advance level undergraduate students as well as postgraduate students and researchers. First she uses paradigmatic models, such as the logistic map or the standard map, to introduce the reader to the concepts of order, chaos, invariant curves, cantori, etc. The main numerical methods to investigate a dynamical system are presented
Statistical Mechanics and Stability of Macromolecules: Application to Bond Disruption, Base Pair Separation, Melting, and Drug Dissociation of the DNAApplication to Bond Disruption, Base Pair Separation, Melting, and Drug Dissociation of the DNA
This book develops a statistical mechanical analysis of the stability of biological macromolecules. The author's approach is valid both for the long time-scale needed for DNA bond disruption, and also for highly cooperative transitions needed to explain helix melting.
