[HTML][HTML] Performance of chaos diagnostics based on Lagrangian descriptors. Application to the 4D standard map

S Zimper, A Ngapasare, M Hillebrand… - Physica D: Nonlinear …, 2023 - Elsevier
We investigate the ability of simple diagnostics based on Lagrangian descriptor (LD)
computations of initially nearby orbits to detect chaos in conservative dynamical systems …

Global dynamics visualisation from Lagrangian Descriptors. Applications to discrete and continuous systems

J Daquin, R Pédenon-Orlanducci, M Agaoglou… - Physica D: Nonlinear …, 2022 - Elsevier
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 …

[HTML][HTML] Building transport models from baroclinic wave experimental data

M Agaoglou, VJ García-Garrido, U Harlander… - Physics of …, 2024 - pubs.aip.org
In this paper, we study baroclinic waves from both the experimental and the theoretical
perspective. We obtain data from a rotating annulus experiment capable of producing a …

Quantifying chaos using Lagrangian descriptors

M Hillebrand, S Zimper, A Ngapasare… - … Journal of Nonlinear …, 2022 - pubs.aip.org
We present and validate simple and efficient methods to estimate the chaoticity of orbits in
low-dimensional conservative dynamical systems, namely, autonomous Hamiltonian …

Dynamical Tunneling in More than Two Degrees of Freedom

S Keshavamurthy - Entropy, 2024 - mdpi.com
Recent progress towards understanding the mechanism of dynamical tunneling in
Hamiltonian systems with three or more degrees of freedom (DoF) is reviewed. In contrast to …

The phase space structure in the vicinity of vertical Lyapunov orbits around L1,2 in a barred galaxy model

M Katsanikas, PA Patsis - Monthly Notices of the Royal …, 2022 - academic.oup.com
We study the phase space structure and the orbital diffusion from the vicinity of the vertical
Lyapunov periodic orbits around the unstable Lagrangian points L 1, 2 in a 3D barred …

The Evolution of the Phase Space Structure Along Pitchfork and Period-Doubling Bifurcations in a 3D-Galactic Bar Potential

HT Moges, M Katsanikas, PA Patsis… - … Journal of Bifurcation …, 2024 - World Scientific
We investigate how the phase space structure of a Three-Dimensional (3D) autonomous
Hamiltonian system evolves across a series of successive Two-Dimensional (2D) and 3D …

Phase space analysis of nonlinear wave propagation in a bistable mechanical metamaterial with a defect

MA Mohammed, P Grover - Physical Review E, 2022 - APS
We study the dynamics of solitary waves traveling in a one-dimensional chain of bistable
elements in the presence of a local inhomogeneity (“defect”). Numerical simulations reveal …

Using Lagrangian descriptors to reveal the phase space structure of dynamical systems described by fractional differential equations: Application to the Duffing …

D Theron, H Susanto, M Agaoglou… - arxiv preprint arxiv …, 2025 - arxiv.org
We showcase the utility of the Lagrangian descriptors method in qualitatively understanding
the underlying dynamical behavior of dynamical systems governed by fractional-order …