Dynamical Systems and Environmental Models : : Proceedings of an International Workshop cosponsored by IIASA and the Academy of Sciences of the GDR, held on the Wartburg, Eisenach (GDR), March 17—21, 1986 / / hrsg. von Hans Günter Bothe, Manfred Peschel, Alexander B. Kurzhanski, Werner Ebeling.

• Superior document: Title is part of eBook package: De Gruyter DGBA Reference Works <1990
• MitwirkendeR: Albrecht, K.-F.,; Aldenberg, T.,; Amann, E.,; Argoul, F.,; Arneodo, A.,; Barna, G.,; Bley, Th.,; Bossel, H.,; Bothe, H. G.,; Brunovsky, P.,; Bröhl-Kerner, H.,; Cierzynski, T.,; Czajkovski, G.,; Ebeling, W.,; Engel, A.,; Erdi, P.,; Feistel, R.,; Felber, F.,; Freedman, H. I.,; Heinritz, B.,; Herzel, H.,; Hunding, A.,; Kairiukstis, L.,; Kindlmann, P.,; Kmet, T.,; Koch, B. P.,; Kostova-Vasilevska, T.,; Kubíček, M.,; Kubíčková, Z.,; Labos, E.,; Lasota, A.,; Leven, R. W.,; Maistrenko, Yu. L.,; Malchow, H.,; Marek, M.,; Markman, G. S.,; Markov, S.,; Mazenko, V. G.,; Mende, W.,; Nicolis, J. S.,; Nogradi, E.,; Olsen, L. F.,; Peschel, M.,; Richetti, P.,; Roux, J. C.,; Schneider, K. R.,; Schulmeister, Th.,; Sharkovsky, A. N.,; Shnol, E. E.,; Sigmund, K.,; Voigt, M.,; Vrie, E. M. van den,; Wolkowicz, G. S. K.,
• HerausgeberIn: Bothe, Hans Günter,; Ebeling, Werner,; Kurzhanski, Alexander B.,; Peschel, Manfred,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2022]; ©1987
• Year of Publication: 2022
• Edition: Reprint 2021
• Language: German
• Series: Mathematical Ecology
• Physical Description: 1 online resource (284 p.)

Table of Contents

• Frontmatter
• Introductory Remarks
• List of Participants
• Contents
• Part I: Mathematical Theory of Dynamical Systems
• Hausdorff dimension of attractors: An example
• K-stability as an ecologically more relevant stability concept
• Stability, periodicity and chaos from the statistical point of view
• Singularly perturbed autonomous differential systems
• Difference equations with continuous time as mathematical models of the structure emergencies
• Stability of equilibria in critical cases
• Part II: General Mathematical Models
• Permanence in population dynamics
• Models of evolution processes including age structure
• Pattern formation in an ionic reaction-diffusion system: A contribution to the morphogene prepattern theory of mitosis
• Chaotic dynamics and fluctuations in a biochemical system
• Periodic, quasiperiodic and chaotic motion in a forced predator-prey ecosystem
• Chaotic dynamics of logical paradoxes
• Control of growth processes
• Part III. Mathematical Models for Concrete Processes
• The Belousov-Zhabotinskii Reaction : A paradigm for theoretical studies of dynamical systems
• The nitrogen transformation cycle in water
• Modelling of polymer growth
• A mathematical model of group defence in predator-prey systems
• Vector-transmitted diseases in structured populations
• Nonlinear behaviour in mathematical models of anaerobic digesters
• Examples of computer-aided exploration and design of dynamical systems in neurosciences: Design of optimal nets
• A dynamical model of synaptic transmission
• Gradients for replicator systems
• Part IV: Mathematical Description of Environmental Processes
• The limiting factor concept in relation to stability, sensitivity and bifurcation in plankton models
• Effects of structured environment to dynamic, behaviour : Some illustrations
• Modelling and control of yeast growth in biotechnical systems
• A dynamic simulation model of tree development under pollution stress
• A biota model to assess the influence of human impacts on the global carbon cycle
• An integrative approach to the solution of ecological problems with particular attention to the regional case
• Application of the evolon model on evolution and energy growth processes
• Non-linear dynamics of the epidemics of some childhood deseases in Copenhagen, Denmark
• Modelling an estimating transport and fate of heavy metals in water column and sediment layer in some enclosed branches of the sea in the S.W. Netherlands
• POSTER SESSION
• Mathematical software developed by the Karl-Weierstraß-Institute of Mathematics