ABSTRACT

The theory of nonlinear dynamics and chaos, and the extent to which recent improvements in the understanding of inherently nonlinear natural processes present challenges to the use of mathematical models in the analysis of water and environmental systems, are elaborated in this work.

chapter Chapter 1|10 pages

Introduction

chapter Chapter 2|36 pages

Learning and Regularisation

chapter Chapter 3|80 pages

Nonlinear Dynamical Systems and Deterministic Chaos

chapter Chapter 4|36 pages

Dynamic Bayesian Networks

chapter Chapter 6|106 pages

Applications

chapter Chapter 7|6 pages

Conclusions