5 papers
Regularity and reentry basins of low Earth orbits in the -solar radiation pressure problem
Cassandra Barbis, Jerome Daquin, Elisa Maria Alessi +1
We investigate the long-term dynamical structure of low Earth orbits (LEOs) using the Smaller Alignment Index (SALI), a fast numerical indicator of chaos, within a closed-form aver…
Astrocytes: Arnol'd Tongues Generalization in Dynamical Systems' Parameter Plane
Gonzalo Marcelo RamÃrez-Ãvila, S. Leo Kingston, Marek Balcerzak +3
We discovered generalized structures, named astrocytes due to their shape, that constitute a defined region characterizing regular behavior within the parameter plane (PP) of dynam…
Leveraging temporal features of the divergence quantifier of recurrence plot to detect chaos in conservative systems
Jerome Daquin, Tamas Kovacs
The recurrence-based divergence quantifier (), traditionally applied to dissipative systems, is shown here to be an effective finite-time chaos indicator for conservative dyna…
Uncontrolled geostationary satellites: mapping periodic transitions to chaos with Lagrangian Descriptors
Roberto Flores, Jerome Daquin, Mauro Pontani +2
Uncontrolled geostationary satellites abandoned near an unstable equilibrium point of the equator experience irregular transitions between dynamical states (continuous circulation,…
Improved detection of chaos with Lagrangian descriptors using differential algebra
Alexandru CÄliman, Jérôme Daquin, Anne-Sophie Libert
Lagrangian descriptors (LDs) based on the arc length of orbits previously demonstrated their utility in delineating structures governing the dynamics. Recently, a chaos indicator b…