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Continuous And Discontinuous Piecewise-smooth One-dimensional Maps: Invariant Sets And Bifurcation Structures
The investigation of dynamics of piecewise-smooth maps is both intriguing from the mathematical point of view and important for applications in various fields, ranging from mechanical and electrical engineering up to financial markets. In this book, we review the attracting and repelling invariant sets of continuous and discontinuous one-dimensional piecewise-smooth maps. We describe the bifurcations occurring in these maps (border collision and degenerate bifurcations, as well as homoclinic bifurcations and the related transformations of chaotic attractors) and survey the basic scenarios and structures involving these bifurcations. In particular, the bifurcation structures in the skew tent ...
Advances in Discrete Dynamical Systems, Difference Equations and Applications
This book comprises selected papers of the 26th International Conference on Difference Equations and Applications, ICDEA 2021, held virtually at the University of Sarajevo, Bosnia and Herzegovina, in July 2021. The book includes the latest and significant research and achievements in difference equations, discrete dynamical systems, and their applications in various scientific disciplines. The book is interesting for Ph.D. students and researchers who want to keep up to date with the latest research, developments, and achievements in difference equations, discrete dynamical systems, and their applications, the real-world problems.
Global Analysis of Dynamic Models in Economics and Finance
The essays in this special volume survey some of the most recent advances in the global analysis of dynamic models for economics, finance and the social sciences. They deal in particular with a range of topics from mathematical methods as well as numerous applications including recent developments on asset pricing, heterogeneous beliefs, global bifurcations in complementarity games, international subsidy games and issues in economic geography. A number of stochastic dynamic models are also analysed. The book is a collection of essays in honour of the 60th birthday of Laura Gardini.
Autonome Mobile Systeme 2005
Das 19. Fachgespräch Autonome Mobile Systeme (AMS 2005) ist ein Forum, das Wissenschaftlerinnen und Wissenschaftlern aus Forschung und Industrie, die auf dem Gebiet der autonomen mobilen Systeme arbeiten, eine Basis für den Gedakenaustausch bietet und wissenschfltiche Diskussionen sowie Kooperationen auf diesem Forschungsgebiet fördert bzw. initiiert. Ausgewählte Beiträge zu den Themen Kooperative Systeme, Bildverarbeitung, Lokalisierung und Kartographierung, Outdoor-Systeme, Fahrerassistenzsysteme, Kognitive Sensordatenverarbeitung, Architekturen und Anwendungen sowie Steuerung und Navigation bilden den Inhalt dieses Bandes.
Bifurcations in Piecewise-smooth Continuous Systems
1. Fundamentals of piecewise-smooth, continuous systems. 1.1. Applications. 1.2. A framework for local behavior. 1.3. Existence of equilibria and fixed points. 1.4. The observer canonical form. 1.5. Discontinuous bifurcations. 1.6. Border-collision bifurcations. 1.7. Poincaré maps and discontinuity maps. 1.8. Period adding. 1.9. Smooth approximations -- 2. Discontinuous bifurcations in planar systems. 2.1. Periodic orbits. 2.2. The focus-focus case in detail. 2.3. Summary and classification -- 3. Codimension-two, discontinuous bifurcations. 3.1. A nonsmooth, saddle-node bifurcation. 3.2. A nonsmooth, Hopf bifurcation. 3.3. A codimension-two, discontinuous Hopf bifurcation -- 4. The growth o...
Intelligent Autonomous Systems
This book contains scientific and engineering activities of the fifth international conference of Intelligent Autonomous Systems (IAS-5). The exploration for automatic systems has much attention over the centuries and created attractive research activities. The Intelligent and Autonomous systems are the current trend toward fully automatic systems that can adapt to changes in their environment. The purpose of the fifth IAS conference is to provide an opportunity for the international community of researchers in the field of autonomous systems as well as architectures, tools, components, techniques, and new IAS design methodologies. The emphasis will be on science and technology for autonomous systems working in a complex environment.
Sensor Based Intelligent Robots
This book constitutes the thorougly refereed post-proceedings of an international workshop on sensor based Intelligent Robot held in Dagstuhl Castle, Germany in September/October 1998. The 17 revised full papers presented were carefully reviewed for inclusion in the book. Among the topics addressed are robot navigation, motion planning, autonomous mobile robots, wheelchair robots, interactive robots, car navigation systems, visual tracking, sensor based navigation, distributed algorithms, computer vision, intelligent agents, robot control, and computational geometry.
An Exploration of Dynamical Systems and Chaos
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 systems and non-linear dynamics intensively as well as those who are curious to learn more about the fascinating world of chaotic phenomena. Basic concepts like Poincaré section, iterated mappings, Hamiltonian chaos and KAM theory, strange attractors, fractal dimensions, Lyapunov exponents, bifurcation theory, self-similarity and renormalisation and transitions to chaos are thoroughly explained. To facilitate comprehens...
Advances in Robotics and Automatic Control: Reviews, Vol. 1
The first volume of the Advances in Robotics and Automatic Control: Reviews, Book Series started by IFSA Publishing in 2018 contains ten chapters written by 32 contributors from 9 countries: Belgium, China, Germany, India, Ireland, Japan, Serbia, Tunisia and USA. We hope that readers will enjoy this book and it can be a valuable tool for those who involved in research and development of various robots and automatic control systems.
