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Encyclopedia of Nonlinear Scienceby Alwyn Scott
Routledge 2004; US$ 295.00Provides a useful overview of core mathematical background, and applications of nonlinear science to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, etc. more...
Modelling, Simulation and Control of Non-linear Dynamical Systemsby Patricia Melin
CRC Press 2001; US$ 94.95Presenting a unified view of mathematical modelling, simulation and control of complexnon-linear dynamical systems using soft computing techniques and fractal theory, the applications contained in this title are from a wide range of areas such as biochemical processes, robotic systems, manufacturing, food industry and chemical processes. more...
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Elsevier 2007; US$ 145.00In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression... more...
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World Scientific 2005; US$ 98.00Nonlinear semigroup theory is not only of intrinsic interest, but is also important in the study of evolution problems. In the last forty years, the generation theory of flows of holomorphic mappings has been of great interest in the theory of Markov stochastic branching processes, the theory of composition operators, control theory, and optimization. It transpires that the asymptotic behavior of solutions to evolution equations is applicable to the study of the geometry of certain domains in complex spaces. Readers are provided with a systematic overview of many results concerning both nonlinear semigroups in metric and Banach spaces and the fixed point theory of mappings, which are nonexpansive with respect to hyperbolic metrics (in particular,... more...
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