Books in the Monograph Series on Nonlinear Science and Complexity series

Based on many years of author's research and teaching on random vibration and control, this book provides a review of theory of probability, stochastic processes, and stochastic calculus. It presents random vibration analyses of SDOF, MDOF and continuous structural systems and research results on fatigue analysis of non-Gaussian stress processes.

Focuses on the computational and theoretical approaches to the coupling of fluid mechanics and solids mechanics. This book presents a comprehensive study of fluid-solid interaction. It discusses complex system dynamics derived from interactive systems. It also provides mathematical modelling of biological systems.

Describes the modern structure of the Quantum Mechanics of Non-Hamiltonian and Dissipative Systems theory. This book is suitable for courses for undergraduate students as well as graduate students and specialists in physics mathematics and other sciences.

Summarizes the discoveries involving the study of synchronization in coupled chaotic systems. This book describes the complete synchronization phenomenon, both for low and for high dimensional situations, and illustrates possible applications in the field of communicating with chaos. It provides an overview on synchronization phenomena.

Based on discoveries, this research oriented book contains and explains programs. It is intended for undergraduate and graduate research projects.

Discusses fundamental problems in dynamics, which exist in engineering, natural and social sciences. This illustrated book presents a basic theory for the interactions among many dynamical systems and for a system whose motions are constrained naturally or artificially.

Provides expositions of major advances in fundamental stability theories and methods for dynamic systems of ODE and DDE types. This title presents comprehensive theory and methodology of stability analysis. It is useful for graduate students in applied mathematics, mechanics, control theory, theoretical physics and mathematical biology.

Deals with an important branch of the dynamical systems theory: the study of the fine (fractal) structure of Poincare recurrences - instants of time when the system almost repeats its initial state. This book presents rules for action to study mathematical models of real systems. It contains standard theorems of dynamical systems theory.