Global dynamics visualisation from Lagrangian Descriptors. Applications to discrete and continuous systems
This paper introduces a new global dynamics and chaos indicator based on the method of
Lagrangian Descriptor apt for discriminating ordered and deterministic chaotic motions in …
Lagrangian Descriptor apt for discriminating ordered and deterministic chaotic motions in …
[HTML][HTML] Performance of chaos diagnostics based on Lagrangian descriptors. Application to the 4D standard map
We investigate the ability of simple diagnostics based on Lagrangian descriptor (LD)
computations of initially nearby orbits to detect chaos in conservative dynamical systems …
computations of initially nearby orbits to detect chaos in conservative dynamical systems …
Quantifying chaos using Lagrangian descriptors
We present and validate simple and efficient methods to estimate the chaoticity of orbits in
low-dimensional conservative dynamical systems, namely, autonomous Hamiltonian …
low-dimensional conservative dynamical systems, namely, autonomous Hamiltonian …
Qualitative and quantitative analysis of interaction between cavitation patterns and vortices of a pitching hydrofoil from Lagrangian viewpoint
R Jia, Z Chen, L Chai, J Zhang, Y Deguchi, Z Li - Physics of Fluids, 2023 - pubs.aip.org
The evolution of transient flow structures and mass transport in cavitating flow around a
pitching hydrofoil is investigated qualitatively and quantitatively, and the interaction between …
pitching hydrofoil is investigated qualitatively and quantitatively, and the interaction between …
Three-dimensional Lagrangian coherent structures in patients with aortic regurgitation
Understanding blood transport in cardiovascular flows is important for managing patients
with cardiovascular disease. In this study, three-dimensional Lagrangian coherent structures …
with cardiovascular disease. In this study, three-dimensional Lagrangian coherent structures …
Quantitative analysis of fluid transport in dynamic stall of a pitching airfoil using variational Lagrangian coherent structures and lobe dynamics
W Wang, JZ Zhang, ZY Chen, ZH Li - Physics of Fluids, 2022 - pubs.aip.org
The evolution of flow structures during dynamic stall of a two-dimensional pitching National
Advisory Committee for Aeronautics 0012 airfoil is studied using the variational Lagrangian …
Advisory Committee for Aeronautics 0012 airfoil is studied using the variational Lagrangian …
Analyzing two-dimensional cellular detonation flows from numerical simulations with proper orthogonal decomposition and Lagrangian descriptors
In this study, the data analysis technique of proper orthogonal decomposition (POD) is
applied to the numerical simulation solutions of two-dimensional unsteady cellular …
applied to the numerical simulation solutions of two-dimensional unsteady cellular …
Lagrangian descriptors: The shearless curve and the shearless attractor
R Simile Baroni, RE de Carvalho - Physical Review E, 2024 - APS
Hamiltonian systems with a nonmonotonic frequency profile are called nontwist. One of the
key properties of such systems, depending on adjustable parameters, is the presence of a …
key properties of such systems, depending on adjustable parameters, is the presence of a …
Barriers impeding active mixing of swimming microbes in a hyperbolic flow
We present experiments on the motion of swimming microbes in a laminar, hyperbolic flow.
We test a theory that predicts the existence of swimming invariant manifolds (SwIMs) that act …
We test a theory that predicts the existence of swimming invariant manifolds (SwIMs) that act …
Lagrangian mixing of pulsatile flows in constricted tubes
Several Lagrangian methods were used to analyze the mixing processes in an experimental
model of a constricted artery under a pulsatile flow. Upstream Reynolds number Re was …
model of a constricted artery under a pulsatile flow. Upstream Reynolds number Re was …