Dynamics of master equations with time-recurrent structure

作者：Jamal Muhammad^*; Wang Yi

来源：Journal of Applied Mathematics and Computing, 2016, 52(1-2): 27-35.

DOI：10.1007/s12190-015-0927-1

• Almost periodicity
• Continuous-time
• Jumping process
• Master equations
• Non-autonomous system
• Nonautonomous
• Quasi-periodicities
• Transition rate matrix

For the nonautonomous master equation of a finite-state, continuous-time jumping-process with time-recurrent structure, we prove that any two probability distribution solutions will be asymptotic to each other provided that the transition rate matrix possesses at some time non-degenerate property (called as “neither decomposable nor splitting”). This extends the corresponding result for time-periodic cases in Earnshaw and Keener (SIAM J Appl Dyn Syst 9:220–237, 2010) to the time-recurrent structure including quasi-periodicity, almost-periodicity and almost-automorphy.

• 出版日期2016
• 单位中国科学技术大学