Abstract
Decoupling and linearization of dynamical models given by differential or difference equations are very successful and frequently used simplification concepts in applied sciences. On the one hand, provided a system can be decoupled, due to possibly different growth rates, each part might be approached using methods more suitable for a subsystem than for the whole problem. On the other hand, linearization includes the advantage that linear equations are mathematically wellunderstood and problems can be approached on an analytical level. Indeed, the basic reason why such linear models oftentimes yield a realistic and successful description of real nonlinear problems, is the Hartman–Grobman theorem.
Keywords
- Difference Equation
- Invariant Manifold
- Center Manifold
- Topological Conjugation
- Lipschitz Estimate
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Pötzsche, C. (2010). Linearization. In: Geometric Theory of Discrete Nonautonomous Dynamical Systems. Lecture Notes in Mathematics(), vol 2002. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14258-1_5
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DOI: https://doi.org/10.1007/978-3-642-14258-1_5
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14257-4
Online ISBN: 978-3-642-14258-1
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