Chaotic Maps, Hamiltonian Flows, and Holographic Methods

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

This paper, and its precedent arXiv:0909.2424 [math-ph], are dedicated to Murray Gell-Mann on the occasion of his 80th birthda

Scientific paper

10.1088/1751-8113/43/44/445101

Holographic functional methods are introduced as probes of discrete time-stepped maps that lead to chaotic behavior. The methods provide continuous time interpolation between the time steps, thereby revealing the maps to be quasi-Hamiltonian systems underlain by novel potentials that govern the motion of a perceived point particle. Between turning points, the particle is strictly driven by Hamiltonian dynamics, but at each encounter with a turning point the potential changes abruptly, loosely analogous to the switchbacks on a mountain road. A sequence of successively deepening switchback potentials explains, in physical terms, the frequency cascade and trajectory folding that occur on the particular route to chaos revealed by the logistic map.

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

Chaotic Maps, Hamiltonian Flows, and Holographic Methods 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 Chaotic Maps, Hamiltonian Flows, and Holographic Methods, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chaotic Maps, Hamiltonian Flows, and Holographic Methods will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-346944

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