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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 …
[HTML][HTML] Soliton Solution of the Peyrard–Bishop–Dauxois Model of DNA Dynamics with M-Truncated and β-Fractional Derivatives Using Kudryashov's R Function …
In this paper, the Peyrard–Bishop–Dauxois model of DNA dynamics is discussed along with
the fractional effects of the M-truncated derivative and β-derivative. The Kudryashov's R …
the fractional effects of the M-truncated derivative and β-derivative. The Kudryashov's R …
Computational efficiency of numerical integration methods for the tangent dynamics of many-body Hamiltonian systems in one and two spatial dimensions
C Danieli, BM Manda, M Thudiyangal… - ar** of DNA in the presence of solvent molecules
The melting of double-stranded DNA (dsDNA) in the presence of solvent molecules is a
fundamental process with significant implications for understanding the thermal and …
fundamental process with significant implications for understanding the thermal and …
Bubble lifetimes in DNA gene promoters and their mutations affecting transcription
Relative lifetimes of inherent double stranded DNA openings with lengths up to ten base
pairs are presented for different gene promoters and corresponding mutants that either …
pairs are presented for different gene promoters and corresponding mutants that either …
Discrete-breather-assisted charge transport along DNA-like molecular wires
Mobile discrete breathers (MDBs) are here suggested as localized excitations underlying
the trap** and transport of charged particles (electron or hole) along a DNA-like molecular …
the trap** and transport of charged particles (electron or hole) along a DNA-like molecular …
[HTML][HTML] Learning the chaotic and regular nature of trajectories in Hamiltonian systems with Lagrangian descriptors
In this paper we investigate the use of Machine Learning techniques, specifically Support
Vector Machines (SVMs), to classify chaotic and regular trajectories in Hamiltonian systems …
Vector Machines (SVMs), to classify chaotic and regular trajectories in Hamiltonian systems …
Chaotic dynamics of graphene and graphene nanoribbons
We study the chaotic dynamics of graphene structures, considering both a periodic, defect
free, graphene sheet and graphene nanoribbons (GNRs) of various widths. By numerically …
free, graphene sheet and graphene nanoribbons (GNRs) of various widths. By numerically …