Written by a well-known professor of physiology at McGill University, this text presents an informative exploration of the basis of the Second Law of Thermodynamics, detailing the fundamental dynamic properties behind the construction of statistical mechanics. Topics include maximal entropy principles; invertible and noninvertible systems; ergodicity and unique equilibria; asymptotic periodicity and entropy evolution; and open discrete and continuous time systems. The author demonstrates that the black body radiation law can be deduced from maximal entropy principles; discusses...
Written by a well-known professor of physiology at McGill University, this text presents an informative exploration of the basis of the Second Law ...
Ludger Rensing, Uwe an der Heiden, Michael C. Mackey
Rhythms of the heart and of the nervous and endocrine system, breathing, locomotory movements, sleep, circadian rhythms and tissue cell cycles are major elements of the temporal order of man. The dynamics of these systems are characterized by changes in the properties of an oscillator, transitions from oscillatory states into chaotic or stationary states, and vice versa, coupling or uncoupling between two or more oscillators. Any deviation from the normal range to either more or less ordered states may be defined as temporal disorder. Pathological changes of temporal organization, such as...
Rhythms of the heart and of the nervous and endocrine system, breathing, locomotory movements, sleep, circadian rhythms and tissue cell cycles are maj...
This monograph has arisen out of a number of attempts spanning almost five decades to understand how one might examine the evolution of densities in systems whose dynamics are described by differential delay equations. Though the authors have no definitive solution to the problem, they offer this contribution in an attempt to define the problem as they see it, and to sketch out several obvious attempts that have been suggested to solve the problem and which seem to have failed. They hope that by being available to the general mathematical community, they will inspire others to consider–and...
This monograph has arisen out of a number of attempts spanning almost five decades to understand how one might examine the evolution of densities in s...
