Lyapunov exponents for the random product of two shears
| Autor: | Rob Sturman, Jean-Luc Thiffeault |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Applied Mathematics
Numerical analysis Mathematical analysis General Engineering FOS: Physical sciences Lyapunov exponent Dynamical Systems (math.DS) Nonlinear Sciences - Chaotic Dynamics 01 natural sciences 010305 fluids & plasmas 010101 applied mathematics Shear (sheet metal) symbols.namesake Modeling and Simulation 0103 physical sciences symbols Tangent space FOS: Mathematics 0101 mathematics Chaotic Dynamics (nlin.CD) Mathematics - Dynamical Systems Mathematics |
| Popis: | We give lower and upper bounds on both the Lyapunov exponent and generalised Lyapunov exponents for the random product of positive and negative shear matrices. These types of random products arise in applications such as fluid stirring devices. The bounds, obtained by considering invariant cones in tangent space, give excellent accuracy compared to standard and general bounds, and are increasingly accurate with increasing shear. Bounds on generalised exponents are useful for testing numerical methods, since these exponents are difficult to compute in practice. 18 pages, 12 figures, iopart LaTeX style |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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