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Article overview
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On the numerical simulation of propagation of micro-level uncertainty for chaotic dynamic systems | S.J. Liao
; | Date: |
1 Sep 2011 | Abstract: | In this paper, a fine numerical algorithm, namely the "clean numerical
simulation" (CNS), is proposed to accurately simulate the propagation of
micro-level uncertainty of chaotic dynamic systems. The chaotic Hamiltonian
H’enon-Heiles system for motion of stars orbiting in a plane about the
galactic center is used as an example to show the validity of the CNS. It is
found that, due to the sensitive dependence on initial condition (SDIC) of
chaos, the micro-level inherent uncertainty of the position and velocity of a
star transfers into the macroscopic randomness of motion. Thus, chaos is a
bridge from the micro-level inherent uncertainty to the macroscopic randomness
in nature. This provides us a new explanation to the SDIC of chaos from the
physical viewpoint. | Source: | arXiv, 1109.0130 | Services: | Forum | Review | PDF | Favorites |
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