16 citations · 16 across the 2 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.CD2002
Smaller alignment index (SALI): Determining the ordered or chaotic nature of orbits in conservative dynamical systems
Ch. Skokos, Ch. Antonopoulos, T. C. Bountis +1
We apply the smaller alignment index (SALI) method for distinguishing between ordered and chaotic motion in some simple conservative dynamical systems. In particular we compute the…