Ryan T Botts,Ale Jan Homburg,Todd R Young
Ryan T Botts
We study Hopf-Andronov bifurcations in a class of random differential equations (RDEs) with bounded noise. We observe that when an ordinary differential equation that undergoes a Hopf bifurcation is subjected to bounded noise then the bifur...
Xiangying Meng,Gemma Huguet,John Rinzel
Xiangying Meng
Some neurons in the nervous system do not show repetitive firing for steady currents. For time-varying inputs, they fire once if the input rise is fast enough. This property of phasic firing is known as Type III excitability. Type III excit...
CROSS-CURRENTS BETWEEN BIOLOGY AND MATHEMATICS: THE CODIMENSION OF PSEUDO-PLATEAU BURSTING [0.03%]
生物学和数学之间的交叉：伪plateau爆发的余维数
Hinke M Osinga,Arthur Sherman,Krasimira Tsaneva-Atanasova
Hinke M Osinga
A great deal of work has gone into classifying bursting oscillations, periodic alternations of spiking and quiescence modeled by fast-slow systems. In such systems, one or more slow variables carry the fast variables through a sequence of b...