Study of dynamics in post-transient flows using Koopman mode decomposition

H Arbabi, I Mezić - Physical Review Fluids, 2017 - APS
The Koopman mode decomposition (KMD) is a data-analysis technique which is often used
to extract the spatiotemporal patterns of complex flows. In this paper, we use KMD to study …

Criterion to identify Hopf bifurcations in maps of arbitrary dimension

G Wen - Physical Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
The classical Hopf bifurcation criterion is stated in terms of the properties of eigenvalues. In
this paper, a criterion without using eigenvalues is proposed for maps of arbitrary dimension …

Stability of the 3-torus solution in a ring of coupled Duffing oscillators

L Borkowski, A Stefanski - The European Physical Journal Special Topics, 2020 - Springer
The dynamics of the ring of unidirectionally coupled single-well Duffing oscillators is
analyzed in numerical simulation for identical nodal oscillators. The research is …

Quasiperiodic routes to chaos in confined two-dimensional differential convection

L Oteski, Y Duguet, L Pastur, P Le Quéré - Physical Review E, 2015 - APS
The complete cascade of bifurcations from steady to chaotic convection, as the Rayleigh
number is varied, is considered numerically inside an air-filled differentially heated cavity …

Chaotic wave dynamics in weakly magnetized spherical Couette flows

F Garcia, M Seilmayer, A Giesecke… - … Interdisciplinary Journal of …, 2020 - pubs.aip.org
Direct numerical simulations of a liquid metal filling the gap between two concentric spheres
are presented. The flow is governed by the interplay between the rotation of the inner sphere …

Four-frequency solution in a magnetohydrodynamic Couette flow as a consequence of azimuthal symmetry breaking

F Garcia, M Seilmayer, A Giesecke, F Stefani - Physical review letters, 2020 - APS
The occurrence of magnetohydrodynamic quasiperiodic flows with four fundamental
frequencies in differentially rotating spherical geometry is understood in terms of a sequence …

Experimental observation of three-frequency quasiperiodic solution in a ring of unidirectionally coupled oscillators

L Borkowski, P Perlikowski, T Kapitaniak, A Stefanski - Physical Review E, 2015 - APS
The subject of the experimental research supported with numerical simulations presented in
this paper is an analog electrical circuit representing the ring of unidirectionally coupled …

Transition to high-dimensional chaos through quasiperiodic motion

D Pazó, E Sánchez, MA Matías - International Journal of Bifurcation …, 2001 - World Scientific
In this contribution we report on a transition to high-dimensional chaos through three-
frequency quasiperiodic behavior. The resulting chaotic attractor has a one positive and two …

Spontaneous generation of a swirling plume in a stratified ambient

F Marques, JM Lopez - Journal of fluid mechanics, 2014 - cambridge.org
The transition from laminar to complex spatio-temporal dynamics of plumes due to a
localized buoyancy source is studied numerically. Several experiments have reported that …

Gluing bifurcations in a dynamically complicated extended flow

J Abshagen, G Pfister, T Mullin - Physical Review Letters, 2001 - APS
We report the results of the first experimental study of imperfect gluing bifurcations in an
extended fluid flow. It is shown that the central features of the theory are robust and are …