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This volume adopts a wide and fresh approach to discuss some problems on the theory of dynamical systems in applied sciences.
This volume brings together a comprehensive selection of over fifty reprints on the theory and applications of chaotic oscillators. Included are fundamental mathematical papers describing methods for the investigation of chaotic behavior in oscillatory systems as well as the most important applications in physics and engineering. There is currently no book similar to this collection.
This book pursues a nonlinear approach in considering both chaotic dynamical models and agent-based simulation models of economics, as well as their dynamical behaviors. Three key concepts arising in this context are “nonlinearity,” “bounded rationality” and “heterogeneity,” which also make up the title of the book. Nonlinearity is the warp that runs throughout all models because systems that exhibit chaotic or other complex behavior in the absence of any exogenous disturbances are absolutely nonlinear. Bounded rationality constitutes the woof, because economic systems do not exhibit complex behavior if all agents are perfectly rational, as is usually assumed in neoclassical economics. Agents who are boundedly rational have to struggle to do their best with limited information and tend to adapt to their economic environment without knowing what is the best. Furthermore, the heterogeneity of firms or consumers dyes the fabric of complex dynamics woven from the warp and woof.
The purpose of this symposium was to study singular phenomena in dynamical systems. There were a total of 19 lectures related to the following categories: dynamical systems, ergodic theory, theoretical physics and engineering sciences
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This proceedings contains topics of the Symposium on Dynamical Systems and Applications held at Kyoto (8–11 July). The content is classified into the categories: Differential dynamics, Topological dynamics, Ergodic theory, C*-algebra, Applied mathematics and Applied science. Major feature of this proceedings is the collection of the latest papers on Dynamical systems.
These two volumes consist of about 350 papers in three main areas of artificial intelligence and neurocomputing, namely: (1) modelling the brain; (2) methods of soft computing; (3) applications of intelligent information systems. The materials, contained in two volumes, emphasise the importance of connectionist-based information systems which use neural networks and other methods to achieve intelligent information processing, such as speech recognition and language understanding, pattern recognition, vision, learning and adaptation, planning, and decision making. Some of the methods of the connectionist-based information systems directly model the physical organisation of the human brain, wh...
This volume of proceedings consists of 14 invited papers. It aims to understand the geometric and analytical aspects in recent research of dynamical systems. It deals with topics such as complex dynamical systems, electric circuits, reconstruction of bifurcation diagrams, integrable systems, quantum chaos, ergodic theory, foliation, zeta functions, etc.
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