832 citations · 2.1k across the 51 of their papers we have counts for
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nlin.CD2007★ 16 cited
Detecting Order and Chaos by the Linear Dependence Index (LDI) Method
Chris Antonopoulos, Tassos Bountis
We introduce a new methodology for a fast and reliable discrimination between ordered and chaotic orbits in multidimensional Hamiltonian systems which we call the Linear Dependence…
nlin.CD2007★ 208 cited
Geometrical properties of local dynamics in Hamiltonian systems: the Generalized Alignment Index (GALI) method
Ch. Skokos, T. C. Bountis, Ch. Antonopoulos
We investigate the detailed dynamics of multidimensional Hamiltonian systems by studying the evolution of volume elements formed by unit deviation vectors about their orbits. The b…