Описание: The book presents the lectures delivered during a short course held at Urbino University in summer 2015 on qualitative theory of dynamical systems, included in the activities of the COST Action IS1104 “The EU in the new economic complex geography: models, tools and policy evaluation”. It provides a basic introduction to dynamical systems and optimal control both in continuous and discrete time, as well as some numerical methods and applications in economic modelling.Economic and social systems are intrinsically dynamic, characterized by interdependence, nonlinearity and complexity, and these features can only be approached using a qualitative analysis based on the study of invariant sets (equilibrium points, limit cycles and more complex attractors, together with the boundaries of their basins of attraction), which requires a trade-off between analytical, geometrical and numerical methods. Even though the early steps of the qualitative theory of dynamical systems have been in continuous time models, in economic and social modelling discrete time is often used to describe event-driven (often decision-driven) evolving systems.The book is written for Ph.D. and master’s students, post-doctoral fellows, and researchers in economics or sociology, and it only assumes a basic knowledge of calculus. However it also suggests some more advanced topics.
Описание: Suitable for students in the fields of mathematics, science, and engineering, this title provides a theoretical approach to dynamical systems and chaos. It helps them to analyze the types of differential equations that arise in their area of study.
Описание: This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds application in electrical engineering, physics and computer sciences. "The author has greatly expanded the field of positive systems in surprising ways." - Prof. Dr. David G. Luenberger, Stanford University(USA)
Описание: "WhAM! Workshop. The aim of this volume is to showcase original research conducted by newly formed collaborative teams during the IMA`s Women in Applied Mathematics (WhAM!) Research Collaboration Conference on Dynamical Systems with Applications to Biology and Medicine"--Page vii.
Papers by Invited Speakers: Competitive exclusion through discrete time models: Azmy S. Ackleh and Paul L. Salceanu.- Benford solutions of linear difference equations: Arno Berger and Gideon Eshun.- Harvesting and dynamics in some one-dimensional population models: Eduardo Liz and Frank M. Hilker.- Chaos and wild chaos in Lorenz-type systems: Hinke M. Osinga, Bernd Krauskopf and Stefanie Hittmeyer.- Contributed Papers: Almost automorphic sequences and their application to a model of cellular neural network: Syed Abbas.- Advances in periodic difference equations with open problems: Ziyad AlSharawi, Jose S. Canovas and Antonio Linero.- An Evolutionary Beverton-Holt Model: J. M. Cushing.- The periodic decomposition problem: Balint Farkas and Szilard Gy. Revesz.- Existence of periodic and almost periodic solutions of discrete Ricker delay models: Yoshihiro Hamaya.- Generalized Lagrange identity for discrete symplectic systems and applications in Weyl-Titchmarsh Theory: Roman Simon Hilscher and Petr Zemanek.- Dynamic selection systems and replicator equations: Zdenek Pospsil.- Asymptotic equivalence of difference equations in Banach Space: Andrejs Reinfelds.
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Автор: Martin Bohner; Yiming Ding; Ond?ej Do?l? Название: Difference Equations, Discrete Dynamical Systems and Applications ISBN: 331924745X ISBN-13(EAN): 9783319247458 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: These proceedings of the 20th International Conference on Difference Equations and Applications cover the areas of difference equations, discrete dynamical systems, fractal geometry, difference equations and biomedical models, and discrete models in the natural sciences, social sciences and engineering.
Автор: Martin Bohner; Yiming Ding; Ond?ej Do?l? Название: Difference Equations, Discrete Dynamical Systems and Applications ISBN: 3319360868 ISBN-13(EAN): 9783319360867 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: These proceedings of the 20th International Conference on Difference Equations and Applications cover the areas of difference equations, discrete dynamical systems, fractal geometry, difference equations and biomedical models, and discrete models in the natural sciences, social sciences and engineering.
Описание: This monograph develops a generalised energy flow theory to investigate non-linear dynamical systems governed by ordinary differential equations in phase space and often met in various science and engineering fields.
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