Fractal Operators and Fractional Dynamics with 1/2 Order in Biological Systems
Yajun Yin, Jianqiao Guo, Gang Peng, Xiaobin Yu, Yiya Kong
Abstract
This paper reports the new advances in biological fractal dynamics. The following contents are included: (1) physical (or functional) fractal spaces abstracted from biological materials, biological structures and biological motions; (2) fractal operators on fractal spaces; (3) 1/2-order fractional dynamics controlled by fractal operators; and (4) the origin of 1/2-order. Based on the new progress, we can make a judgment that all the two-bifurcation physical functional fractal motions in the living body can be attributed to the fractional dynamics with 1/2-order.
Topics & Concepts
FractalDynamics (music)Order (exchange)Fractal analysisBifurcationStatistical physicsFractal dimensionMathematicsComputer scienceMathematical analysisPhysicsNonlinear systemEconomicsQuantum mechanicsFinanceAcousticsFractal and DNA sequence analysisStatistical Mechanics and EntropyComplex Systems and Time Series Analysis