Dynamics of Macrosystems: Proceedings of a Workshop on the Dynamics of Macrosystems Held at the International Institute for Applied Systems Analysis (IIASA), Laxenburg, Austria, September 3–7, 1984

ISBN-13: 9783540159872 / Angielski / Miękka / 1985 / 283 str.

Jean-P. Aubin;Donald Saari;Karl Sigmund

Opis

The history of the disciplines that led to the development of systems analysis is marked by a curious relationship between static and dynamic approaches. Although lhe imporlance of the dynamical element was recognized quile early on, lhe method chosen, more often than not, was a static equilibrium analysis. One reason for this obviously lies in the mathematical intricacies of non- equilibrium situations. Although Poincare and various other classical authors pointed oul the amazing complexity of some mechanical problems, lhe general lrend, as reflected in the standard texlbooks, was lo ignore such "subtleties" and concenlrate on a handful of lraclable equations and localized slability analysis. Il is only in lhe lasl decade thal the importance and universal nature of complicated asymptotic behavior has become more widely recognized. This shift in perspective is due lo lhe development of new mathematical lechniques, lo the spread of computing facilities and, possibly, lo lhe growing recognition of the limits of lhe human ability to handle, predict and control complex situatIons.

Spis treści

Dynamics of the Central Nervous System.- Neural Connectivities: Between Determinism and Randomness.- On Solitary Waves in Biology.- Persistence in Systems with Diffusion.- Thermodynamics of the Volterra Model.- On Optimization Principles in Plant Ecology.- Dynamical Models in Quantitative Genetics.- Gradients Versus Cycling in Genetic Selection Models.- Evolution of Asymmetry in Sexual Reproduction.- Random Behavior in Numerical Analysis, Decision Theory, and Macrosystems:.- Dynamics of Neumann-type Economic Macrosystems.- An Introduction to Viability Theory.- Heavy Viable Trajectories of Controlled Systems.- Semilinear Parabolic Equations with Infinite Delay.- A Stochastic Migration Model and its Application to Canadian Data.- Statistical Methods for the Analysis of Disease Processes.- Dynamics in Hierarchically Organized Systems.- Dynamics of Interactive Macrosystems.- Macromodels and Dynamical Systems.- The Interface Between Chemistry and Biology — Laws Determining Regularities in Early Evolution.- Autogenesis: The Evolution of Self-Organizing Systems.- A Coevolutionary Circuit Model for Cultural and Biological Evolution.