Chaos Tom O'neill

This volume is dedicated to
This book contains the method of chaos to detect the level of chaotic motion such as entropy, Lyapunov exponent, Poincare map, and phase-plane diagram.

“Hamiltonian Chaos Beyond the KAM Theory: Dedicated to George M. Zaslavsky (1935—2008)” covers the recent developments and advances in the theory and application of Hamiltonian chaos in nonlinear Hamiltonian systems. The book is dedicated to Dr. George Zaslavsky, who was one of three founders of the theory of Hamiltonian chaos. Each chapter in this book was written by well-established scientists in the field of nonlinear Hamiltonian systems. The development presented in this book goes beyond the KAM theory, and the onset and disappearance of chaos in the stochastic and resonant layers of nonlinear Hamiltonian systems are predicted analytically, instead of qualitatively. The book is intended for researchers in the field of nonlinear dynamics in mathematics, physics and engineering. Dr. Albert C.J. Luo is a Professor at Southern Illinois University Edwardsville, USA. Dr. Valentin Afraimovich is a Professor at San Luis Potosi University, Mexico.

This volume provides a comprehensive overview of chaos theory.

This volume provides a comprehensive overview of chaos theory.

The proceedings of the 8th International Symposium on Chaos, Complexity, and Leadership present various concepts of diverse research methodologies to explore chaos and complexity across different scientific fields of leadership. Particular emphasis will be placed on investigating non-linearity to stimulate discussion on novel approaches and perspectives regarding chaos, complexity, and leadership.
The book delves into recent developments from diverse fields, employing chaos and complexity theory as analytical tools. Readers will find insights into important contemporary events, regardless of the various perspectives across social, political, economic, or scientific domains. It integrates numerous aspects and challenges regarding the impact of chaos and complexity on our world, utilizing nonlinear dynamics to suggest transformative policies. It aims to investigate and predict future paths through an interdisciplinary approach. Given the current societal and economic turbulence, leadership across all sectors necessitates reassessment. Consequently, this book primarily targets individuals interested in nonlinear science and leadership. However, its content extends its appeal to a broader audience due to its application of chaos and complexity to other disciplines.

Quantum and chaos, key concepts in contemporary science, are incompatible by nature. This volume presents an investigation into quantum transport in mesoscopic or nanoscale systems which are classically chaotic and shows the success and failure of quantal, semiclassical, and random matrix theories in dealing with questions emerging from the mesoscopic cosmos. These traditional theories are critically analysed, and this leads to a new direction. To reconcile quantum with chaos and to restore genuine temporal chaos in quantum systems, a time-discrete variant of quantum dynamics is proposed.

This book covers the proceedings from the 2016 International Symposium on Chaos, Complexity and Leadership, and reflects current research results of chaos and complexity studies and their applications in various fields. Included are research papers in the fields of applied nonlinear methods, modeling of data and simulations, as well as theoretical achievements of chaos and complex systems. Also discussed are leadership and management applications of chaos and complexity theory.