3 papers
q-bio.NC2021
Dynamics of ramping bursts in a respiratory neuron model
Muhammad U. Abdulla, Ryan S. Phillips, Jonathan E. Rubin
Intensive computational and theoretical work has led to the development of mutliple mathematical models for bursting in respiratory neurons in the pre-Bötzinger Complex (pre-BötC)…
math.DS2017
Classification of the Second Minimal Odd Periodic Orbits in the Sharkovskii Ordering
Ugur G. Abdulla, Rashad U. Abdulla, Muhammad U. Abdulla +1
This paper presents full classification of second minimal odd periodic orbits of a continuous endomorphisms on the real line. A -periodic orbit () is called second…
math.DS2016
Second Minimal Orbits, Sharkovski Ordering and Universality in Chaos
Ugur G. Abdulla, Rashad U. Abdulla, Muhammad U. Abdulla +1
This paper introduces the notion of second minimal -periodic orbit of the continuous map on the interval according as if is a successor of the minimal period of the map in S…