Topological dynamics and the extension of Lyapunov's method
Intracellular transport in eukarya is attributed to motor proteins that transduce chemical energy into directed mechanical energy. This suggests that, in nonequilibrium systems, fluctuations may be oriented or organized to do work. Here we seek to understand how this is manifested by quantitative mathematical portrayals of these systems.
Intracellular transport in eukarya is attributed to motor proteins that transduce chemical energy into directed mechanical energy. This suggests that, in nonequilibrium systems, fluctuations may be oriented or organized to do work. Here we seek to understand how this is manifested by quantitative mathematical portrayals of these systems.
This paper extends some known results on the boundedness of solutions and the existence of periodic solutions of certain vector equations to matrix equations.
Some stability properties of motions in pseudo-dynamical systems and semi-systems are studied.