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Difference and Differential Equations
This volume contains papers from the 7th International Conference on Difference Equations held at Hunan University (Changsa, China), a satellite conference of ICM2002 Beijing. The volume captures the spirit of the meeting and includes peer-reviewed survey papers, research papers, and open problems and conjectures. Articles cover stability, oscillation, chaos, symmetries, boundary value problems and bifurcations for discrete dynamical systems, difference-differential equations, and discretization of continuous systems. The book presents state-of-the-art research in these important areas. It is suitable for graduate students and researchers in difference equations and related topics.
An Introduction to Difference Equations
A must-read for mathematicians, scientists and engineers who want to understand difference equations and discrete dynamics Contains the most complete and comprehenive analysis of the stability of one-dimensional maps or first order difference equations. Has an extensive number of applications in a variety of fields from neural network to host-parasitoid systems. Includes chapters on continued fractions, orthogonal polynomials and asymptotics. Lucid and transparent writing style
The Chandelier Ballroom
A spellbinding, gothic tale of romance, betrayal, and murder in an English country manor by a “natural storyteller” (Ruth Rendell). 1929. Upon receipt of an unexpected inheritance, small-time crook Horace Butterfield purchases Crossways Lodge, a large house in rural Essex, and sets about turning it into his dream home. Buying an enormous antique chandelier in order to enhance his brand-new ballroom, he is intrigued by the dealer’s story behind its provenance: A young woman who lost all her money in the Wall Street Crash and was forsaken by her lover is said to have hanged herself from it. For the next five years, Horace enjoys telling the story at every party he hosts. But then Horace...
Mathematical Economics and the Dynamics of Capitalism
Richard Goodwin was a pioneer in the use of mathematical tools to understand the dynamics of capitalist economies. This book contains contributions which focus on the rigorous extension of Goodwin’s modelling of macro-dynamics and the micro-structures underlying them, and also research with a wider perspective related to Goodwin’s vision of an integrated Marx-Keynes-Schumpeter (M-K-S) system of the dynamics of capitalist economies. The variety of approaches in this book range from detailed business cycle analyses to Schumpeterian processes of creative destruction. They include thorough theoretical analysis of delayed dynamical systems. empirical studies of Goodwin’s classical growth cycle model and the integration of Keynesian aspects of effective demand and of financial mechanisms that impact the real macro-economy. micro-economic structural analysis. expectations driven aspects of micro-founded business cycle modelling
Difference Equations, Discrete Dynamical Systems and Applications
These proceedings of the 18th International Conference on Difference Equations and Applications cover a number of different aspects of difference equations and discrete dynamical systems, as well as the interplay between difference equations and dynamical systems. The conference was organized by the Department of Mathematics at the Universitat Autònoma de Barcelona (UAB) under the auspices of the International Society of Difference Equations (ISDE) and held in Barcelona (Catalonia, Spain) in July 2012. Its purpose was to bring together experts and novices in these fields to discuss the latest developments. The book gathers contributions in the field of combinatorial and topological dynamics, complex dynamics, applications of difference equations to biology, chaotic linear dynamics, economic dynamics and control and asymptotic behavior, and periodicity of difference equations. As such it is of interest to researchers and scientists engaged in the theory and applications of difference equations and discrete dynamical systems.
A Systems Theoretic Approach to Systems and Synthetic Biology I: Models and System Characterizations
The complexity of biological systems has intrigued scientists from many disciplines and has given birth to the highly influential field of systems biology wherein a wide array of mathematical techniques, such as flux balance analysis, and technology platforms, such as next generation sequencing, is used to understand, elucidate, and predict the functions of complex biological systems. More recently, the field of synthetic biology, i.e., de novo engineering of biological systems, has emerged. Scientists from various fields are focusing on how to render this engineering process more predictable, reliable, scalable, affordable, and easy. Systems and control theory is a branch of engineering and...
