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[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 …
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] Building transport models from baroclinic wave experimental data
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 …
perspective. We obtain data from a rotating annulus experiment capable of producing a …
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 …
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 …
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 …
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 …
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 …
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 …
the underlying dynamical behavior of dynamical systems governed by fractional-order …