Visual Explorations of Dynamics: the Standard Map
arXiv:0801.0883 · doi:10.1007/s12043-008-0103-3
Abstract
The Macintosh application \textit{StdMap} allows easy exploration of many of the phenomena of area-preserving mappings. This tutorial explains some of these phenomena and presents a number of simple experiments centered on the use of this program.
Corrections in a couple of equations, and updated to the latest version of StdMap
References in corpus (5)
- Long-Time Correlations in the Stochastic Regime
- A lecture on the classical KAM theorem
- Meanders and Reconnection-Collision Sequences in the Standard Nontwist Map
- Heteroclinic orbits and transport in a perturbed integrable Suris map
- Heteroclinic orbits and transport in a perturbed integrable standard map
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- Visualizing the Phase Space of the HeI_2 van der Waals Complex using Lagrangian Descriptors
- Symbolic dynamics in a binary asteroid system
- Improved detection of chaos with Lagrangian descriptors using differential algebra
- Maximum attainable energy at a fixed frequency cyclotron
- Melnikov-Arnold integrals and optimal normal forms