Dimension of Phase Point Trajectory

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2015Publisher:Scientific Research Publishing, Inc.Journal:International Journal of Modern Nonlinear Theory and Application, volume 4, pages 249-253 (issn: 2167-9479, eissn: 2167-9487,

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Authors: Kun Yao;

doi: 10.4236/ijmnta.2015.44019

Dimension of Phase Point Trajectory

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Abstract

In a physical system, phase point trajectory is impossible to be space-filling curve, of which the dimension is not greater than one. Equipotential map concept is proposed. When phase point trajectory dimension is 0, calculus tool is no longer applicable. System state can be changed instantly. When phase point trajectory dimension is 1, differential equation can be used to handle this case.

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Naval University of Engineering
China (People's Republic of)

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