Classification of regular and chaotic motions in Hamiltonian systems with deep learning
Sign Up to like & getrecommendations! Published in 2022 at "Scientific Reports"
DOI: 10.1038/s41598-022-05696-9
Abstract: This paper demonstrates the capabilities of convolutional neural networks (CNNs) at classifying types of motion starting from time series, without any prior knowledge of the underlying dynamics. The paper applies different forms of deep learning… read more here.
Keywords: regular chaotic; deep learning; motion; chaotic motions ... See more keywords
Energization of charged particles in regular and chaotic magnetic fields
Sign Up to like & getrecommendations! Published in 2017 at "Physics of Plasmas"
DOI: 10.1063/1.4983324
Abstract: The dynamics of charged particles is studied in stationary magnetic fields that are obtained as solutions of nonlinear coupled equations varying in one dimension. The chosen equation can give both regular and chaotic solutions depending… read more here.
Keywords: rms values; magnetic fields; charged particles; energization charged ... See more keywords
Regular and chaotic motion domains in the channeling electron's phase space and mean level density for its transverse motion energy
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Instrumentation"
DOI: 10.1088/1748-0221/14/12/c12022
Abstract: The motion of charged particles in a crystal in the axial channeling regime can be both regular and chaotic. The chaos in quantum case manifests itself in the statistical properties of the energy levels set.… read more here.
Keywords: regular chaotic; case; energy; level density ... See more keywords