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Dimension of Phase Point Trajectory
Applied Physics Department, Naval University of Engineering, Wuhan, China
- 1 Applied Physics Department, Naval University of Engineering, Wuhan, China
International Journal of Modern Nonlinear Theory and Application·Volume 04 (2015)·Pages 249–253·Published 12 November 2015·DOI10.4236/ijmnta.2015.44019
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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 When phase point trajectory dimension is 0, calculus tool is no longer applicable.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.
KeywordsTrajectoryDimensionSystem
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