3 papers
nlin.AO2020
Parity and time-reversal elucidate both decision-making in empirical models and attractor scaling in critical Boolean networks
Jordan C. Rozum, Jorge Gómez Tejeda Zañudo, Xiao Gan +2
We present new applications of parity inversion and time-reversal to the emergence of complex behavior from simple dynamical rules in stochastic discrete models. Our parity-based e…
math.DS2019
A puzzle on the existence of Lyapunov functions for Limit cycle system
Xiao-Liang Gan, Hao-Yu Wang, Ping Ao
Although the limit cycle have been studied for more than 100 years, the existence of its Lyapunov function is still poorly understood. By considering a common limit cycle system, a…
math.DS2019
Does the smooth planar dynamical system with one arbitrary limit cycle always exists smooth Lyapunov function?
Xiao-Liang Gan, Hao-Yu Wang, Ping Ao +1
A rigorous proof of a theorem on the coexistence of smooth Lyapunov function and smooth planar dynamical system with one arbitrary limit cycle is given, combining with a novel deco…