MiS Preprint Repository
We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Routes to chaos in high-dimensional dynamical systems: a qualitative numerical study
David Albers and J. SprottAbstract
This paper examines the most probable route to chaos in high-dimensional dynamical systems in a general computational setting (time-delay neural networks). The most probable route to chaos in high-dimensional, discrete-time maps (relative to our construction) is observed to be a sequence of Neimark-Sacker bifurcations into chaos. A means for determining and understanding the degree to which the Landau-Hopf route to turbulence is non-generic in the space of
- Received:
- 24.10.05
- Published:
- 24.10.05
- MSC Codes:
- 37XX
- PACS:
- 05.45.-a, 89.75.-k
- Keywords:
- routes to chaos, bifurcation theory, high-dimensional dynamics