10 citations · 35 across the 6 of their papers we have counts for
6 papers
Series expansion in fractional calculus and fractional differential equations
Ming-Fan Li, Ji-Rong Ren, Tao Zhu
Fractional calculus is the calculus of differentiation and integration of non-integer orders. In a recently paper (Annals of Physics 323 (2008) 2756-2778), the Fundamental Theorem…
The Bifurcation Theory of Magnetic Monopoles in a Charged Two-Condensate Bose-Einstein System
Shu-Fan Mo, Ji-Rong Ren, Tao Zhu
Magnetic monopoles, that are particle-like field configurations with which one can associate a topological charge, widely exist in various three dimensional condensate systems. In…
Topological Aspect of Knotted Vortex Filaments in Excitable Media
Ji-Rong Ren, Tao Zhu, Yi-Shi Duan
Scroll waves exist ubiquitously in three-dimensional excitable media. It's rotation center can be regarded as a topological object called vortex filament. In three-dimensional spac…
Topology of Knotted Optical Vortices
Ji-Rong Ren, Tao Zhu, Yi-Shi Duan
Optical vortices as topological objects exist ubiquitously in nature. In this paper, by making use of the -mapping topological current theory, we investigate the topology in the…
Topological Properties of Spatial Coherence Function
Ji-Rong Ren, Tao Zhu, Yi-Shi Duan
Topology of the spatial coherence function is considered in details. The phase singularity (coherence vortices) structures of coherence function are classified by Hopf index and Br…
Topological Properties of Phase Singularities in Wave Fields
Yi-Shi Duan, Ji-Rong Ren, Tao Zhu
Phase singularities as topological objects of wave fields appear in a variety of physical, chemical, and biological scenarios. In this paper, by making use of the -mapping topol…