Visual explorations of dynamics: The standard map

2008/01/31 by J. D. Meiss, James D. Meiss · 28 citations
Computer Science · Physics and Astronomy · Psychology · #Artificial intelligence #Computational Physics and Python Applications #Computer graphics (images) #Computer science #Dynamics (music) #Epistemology #Psychology #Quantum chaos and dynamical systems #Scientific Research and Discoveries #Simple (philosophy) #nlin.CD

paper · pdf · doi:10.1007/s12043-008-0103-3

published in Pramana 70(6), 965-988 · Corrections in a couple of equations, and updated to the latest version of StdMap

arxiv created 2008/05/12 · openalex publication_date 2008/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The Macintosh application 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.

Citations

• Long-time correlations in the stochastic regime
• A universal instability of many-dimensional oscillator systems
• A lecture on the classical KAM theorem

Cited by

• Visualizing the phase space of the HeI<mml:mrow/>2 van der Waals complex using Lagrangian descriptors