Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and derives expl…
Chaos-based cryptography, attracting many researchers in the past decade, is a research field across two fields, i.e., chaos (nonlinear dynamic system) and cryptography (computer and data security). It Chaos' properties, such as randomness and ergodicity, have been proved to be …
This book combines into one volume the textbook Nonlinear Dynamics and Chaos, second edition, along with the supplement Student Solutions Manual for Nonlinear Dynamics and Chaos, second edition. "This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially st…
"This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-o…
Exploring chaos: theory and experiment
"This book presents elements of the theory of chaos in dynamical systems in a framework of theoretical understanding coupled with numerical and graphical experimentation. The theory is developed using only elementary calculus and algebra, and includes dynamics of one- and two-di…
The Birth of Physics represents a foundational work in the development of chaos theory from one of the world's most influential living theorists, Michel Serres. Focussing on the largest text still intact to reach us from the Atomists - Lucretius' De Rerum Natura - Serres mobilis…
This book is conceived as a comprehensive and detailed text-book on non-linear dynamical systems with particular emphasis on the exploration of chaotic phenomena. The self-contained introductory presentation is addressed both to those who wish to study the physics of chaotic sys…