Dimension of Phase Point Trajectory

Kun Yao
2015 International Journal of Modern Nonlinear Theory and Application  
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 When phase point trajectory dimension is 0, calculus tool is no longer applicable.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.
doi:10.4236/ijmnta.2015.44019 fatcat:asn3lfny3zapxlm4m5gdvcm3fq