1st Edition
Analysis and Modelling of Discrete Dynamical Systems
344 Pages
by
CRC Press
The theory of dynamical systems, or mappings, plays an important role in various disciplines of modern physics, including celestial mechanics and fluid mechanics. This comprehensive introduction to the general study of mappings has particular emphasis on their applications to the dynamics of the solar system. The book forms a bridge between continuous systems, which are suited to analytical... Read more
1. Part I: Modelling Mappings: An Aim and a Tool for the Study of Dynamical Systems 2. Spectra of Stretching Numbers and Helicity Angles 3. Diffusion and Transient Spectra in a 4-Dimensional Symplectic Mapping 4. Distribution of Periodic Orbits in 2-D Dynamical Systems 5. Symplectic Integrators 6. The Use of Mappings for Stability Problems in Beam Dynamics 7. Part II: Rigorous and Numerical Determination of Rotational Invariant Curves for the Standard Map 8. Interpolation of Discrete Hamiltonian Systems 9. Standard and Anomalous Diffusion in Dynamical Systems 10. Part III: Symplectic Maps and Their Use in Celestial Mechanics 11.
Perturbation Theory for Volume Preserving Maps: Application to the Magnetic Field Lines in Plasma Physics
Perturbation Theory for Volume Preserving Maps: Application to the Magnetic Field Lines in Plasma Physics
Biography
Daniel Benest, Claude Froeschle
