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Springer Multiple-Time-Scale Dynamical Systems - IMA Volumes 122

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Description

This comprehensive mathematical text explores dynamical systems with sub-processes evolving across multiple time scales, a phenomenon found throughout applied sciences including chemical reactions, electro-optical systems and neuro-biological processes. The volume presents cutting-edge geometric techniques for analysing such complex systems, with particular emphasis on relaxation-oscillation phenomena in higher dimensional phase spaces. It addresses subtle exponentially small effects arising from singular perturbations inherent in multiple time scale systems, providing rigorous mathematical frameworks for understanding phenomena where different physical processes operate at vastly different rates. Essential for researchers and graduate students working in applied mathematics, dynamical systems theory and mathematical modelling of multi-scale processes.

Key Features

Multiple-time-scale dynamical systems analysis with advanced geometric mathematical techniques for complex multi-rate systems.

Relaxation-oscillation phenomena covered in higher dimensional phase spaces for deeper theoretical understanding.

Singular perturbations and exponentially small effects systematically addressed within the IMA Volumes framework.

Applications to chemical reactions, electro-optical systems and neuro-biological processes throughout the text.

State-of-the-art mathematical methods compiled for researchers studying systems with sub-processes at different time scales.

Product Specifications

Format
paperback
Domain
Amazon UK
Publication Date
13 September 2012
Listed Since
20 September 2013

Barcode

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