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.
Skokos, The Lyapunov characteristic exponents and their computation, Lecture Notes in Physics 790 (2010) 63
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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.