Scaling Laws in Dynamical Systems
This book discusses many of the common scaling properties observed in some nonlinear dynamical systems mostly described by mappings. The unpredictability of the time evolution of two nearby initial conditions in the phase space together with the exponential divergence from each other as time goes by...
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| Format: | eBook |
| Language: | English |
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Singapore
Springer Nature Singapore
2021, 2021
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| Edition: | 1st ed. 2021 |
| Series: | Nonlinear Physical Science
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| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Introduction
- One-dimensional mappings
- Some dynamical properties for the logistic map
- The logistic-like map
- Introduction to two dimensional mappings
- A Fermi accelerator model
- Dissipation in the Fermi-Ulam model
- Dynamical properties for a bouncer model
- Localization of invariant spanning curves
- Chaotic diffusion in non-dissipative mappings
- Scaling on a dissipative standard mapping
- Introduction to billiards dynamics
- Time dependent billiards
- Suppression of Fermi acceleration in the oval billiard
- A thermodynamic model for time dependent billiards