Dynamical Systems : Theories and Applications

Elhadj, Zeraoulia

CRC Press（2021/03発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 404 p.
• 言語 ENG
• 商品コード 9780367780395
• DDC分類 003.857

Full Description

Chaos is the idea that a system will produce very different long-term behaviors when the initial conditions are perturbed only slightly. Chaos is used for novel, time- or energy-critical interdisciplinary applications. Examples include high-performance circuits and devices, liquid mixing, chemical reactions, biological systems, crisis management, secure information processing, and critical decision-making in politics, economics, as well as military applications, etc. This book presents the latest investigations in the theory of chaotic systems and their dynamics. The book covers some theoretical aspects of the subject arising in the study of both discrete and continuous-time chaotic dynamical systems. This book presents the state-of-the-art of the more advanced studies of chaotic dynamical systems.

Contents

Review of chaotic dynamics. Roundedness of some quadratic systems. Rigorous determination of chaotic behavior in a piecewise linear planar map. Properties of perplexing dynamics of urbanization.Transformation of n-D dynamical systems to hyperjerky motion. Analytic calculation of Lyapunouv exponents for 2-D quadratic mapping. About the HIV therapy system. Robust Chaos in Neural Networks Models. Chaotic Attractors in modified map-based BVP model. Some forms of globally asymptotically stable attractors. Synchronization of 2-D piecewise smooth mappings