109 citations · 121 across the 10 of their papers we have counts for
7 papers · 1 filter
Limit Cycle and Conserved Dynamics
X. -M. Zhu, L. Yin, P. Ao
We demonstrate that a potential coexists with limit cycle. Here the potential determines the final distribution of population. Our demonstration consists of three steps: We first s…
Lessons from vortex dynamics in super media
P. Ao
Some aspects of vortex dynamics theories are critically examined. The discussion is placed in the context of experiments on the Josephson-Anderson effect and on the Hall anomaly in…
Possible Laws for Artificial Life Evolution
P. Ao
Motivated by a recent article on open problems in artificial life, here I postulate three laws which form a mathematical framework to describe artificial life evolutionary dynamics…
Hall anomaly in mixed state of superconductors and vortex dynamics
P. Ao
The present author has long argued, with concrete predictions, that both longitudinal and transverse (Hall) resistivities in the mixed state of superconductors are dominated by vor…
Mathematical Structure of Evolutionary Theory
P. Ao
Here we postulate three laws which form a mathematical framework to capture the essence of Darwinian evolutionary dynamics. The second law is most quantitative and is explicitly ex…
Robustness, Stability and Efficiency of Phage lambda Gene Regulatory Network: Dynamical Structure Analysis
X. -M. Zhu, L. Yin, L. Hood +1
Based on our physical and biological studies we have recently developed a mathematical framework for the analysis of nonlnear dynamics. We call this framework the dynamical structu…