[PDF][PDF] Berwald-moor metrics and structural stability of conformally-deformed geodesic SODE.
V Balan, IR Nicola - APPS. Applied Sciences, 2009 - eudml.org
V Balan, IR Nicola
APPS. Applied Sciences, 2009•eudml.orgThe robustness and the fragility of a second-order SODE is studied by means of the five
KCC invariants, which provide information on the Jacobi stability ([1, 8, 53, 1 4]). The paper
presents a brief overview on Finslerian m-root metrics, in particular, of Berwald-Moor type,
and applies the developed theory to a Berwald-Moor type conformally deformed relativistic
model, where the five KCC invariants of the Finslerian framework are computed by means of
the MAPLE 1 2 symbolic software. MSC 2000: 37 N 25, 92 C 45, 53 B 40, 53 C 60.
KCC invariants, which provide information on the Jacobi stability ([1, 8, 53, 1 4]). The paper
presents a brief overview on Finslerian m-root metrics, in particular, of Berwald-Moor type,
and applies the developed theory to a Berwald-Moor type conformally deformed relativistic
model, where the five KCC invariants of the Finslerian framework are computed by means of
the MAPLE 1 2 symbolic software. MSC 2000: 37 N 25, 92 C 45, 53 B 40, 53 C 60.
Abstract
The robustness and the fragility of a second-order SODE is studied by means of the five KCC invariants, which provide information on the Jacobi stability ([1, 8, 53, 1 4]). The paper presents a brief overview on Finslerian m-root metrics, in particular, of Berwald-Moor type, and applies the developed theory to a Berwald-Moor type conformally deformed relativistic model, where the five KCC invariants of the Finslerian framework are computed by means of the MAPLE 1 2 symbolic software. MSC 2000: 37 N 25, 92 C 45, 53 B 40, 53 C 60.
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