6533b852fe1ef96bd12ab859

RESEARCH PRODUCT

A note on finite-time Lyapunov dimension of the Rossler attractor

N. V. KuznetsovT. N. Mokaev

subject

Nonlinear Sciences::Chaotic DynamicsQuantitative Biology::Neurons and CognitionFOS: Physical sciencesChaotic Dynamics (nlin.CD)Nonlinear Sciences - Chaotic Dynamics

description

For the R\"ossler system we verify Eden's conjecture on the maximum of local Lyapunov dimension. We compute numerically finite-time local Lyapunov dimensions on the R\"ossler attractor and embedded unstable periodic orbits. The UPO computation is done by Pyragas time-delay feedback control technique.

https://dx.doi.org/10.48550/arxiv.1807.00235