The threshold of chaos for Henon-Heiles and related potentials

Astronomy and Astrophysics – Astronomy

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

9

Chaos, Particle Motion, Potential Theory, Differential Equations, Disk Galaxies, Equations Of Motion, Harmonic Oscillators, Schroedinger Equation

Scientific paper

It is shown that a crucial part of the orbit of a particle released from rest in Hénon-Heiles and related potentials near the chaotic threshold is accurately described by an equation formally similar to the Schrödinger equation for the harmonic oscillator. Its solution in this neighborhood yields an improved physical understanding of the interplay between the various terms in this type of potential, which can lead to an abrupt transition from ordered to chaotic motion for some energies. It is also thereby possible to understand physically how ordered motion may reappear for limited higher-energy regimes.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

The threshold of chaos for Henon-Heiles and related potentials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The threshold of chaos for Henon-Heiles and related potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The threshold of chaos for Henon-Heiles and related potentials will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-977693

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.