A multi-particle method for GALI computation is introduced with leading-order error estimates and validated numerically on the Hénon-Heiles system and β-FPU-T chain, showing reliable performance for specific parameter ranges in double precision.
Szumi ´nski, A new model of variable-length coupled pendulums: from hyperchaos to superintegrability, Nonlinear Dynamics 112 (2024) 4117– 4145
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Efficient detection of chaos through the computation of the Generalized Alignment Index (GALI) by the multi-particle method
A multi-particle method for GALI computation is introduced with leading-order error estimates and validated numerically on the Hénon-Heiles system and β-FPU-T chain, showing reliable performance for specific parameter ranges in double precision.