Continuous and Distributed Systems II Theory and Applications [Hardcover]

As in the previous volume on the topic, the authors close the gap between abstract mathematical approaches, such as applied methods of modern algebra and analysis, fundamental and computational mechanics, nonautonomous and stochastic dynamical systems, on the one hand and practical applications in nonlinear mechanics, optimization, decision making theory and control theory on the other.

Readers will also benefit from the presentation of modern mathematical modeling methods for the numerical solution of complicated engineering problems in biochemistry, geophysics, biology and climatology. This compilation will be of interest to mathematicians and engineers working at the interface of these fields. It presents selected works of the joint seminar series of Lomonosov Moscow State University and the Institute for Applied System Analysis at National Technical University of Ukraine Kyiv Polytechnic Institute. The authors come from Brazil, Germany, France, Mexico, Spain, Poland, Russia, Ukraine and the USA.

Part I Applied Methods of Modern Algebra and Analysis.- The Absolute Stability of Orthorecursive Expansions in Redundant Systems of Subspaces.- Topological Classification of Geodesic Flows on Revolution 2-Surfaces with Potential.- Multiplicative and Additive Problems of Partitions of Natural Numbers.- Critical Analysis of Amino Acids and Polypeptides Geometry.- On the Riemanns Problem for one Nonstrictly Hyperbolic System.- Part II Non-autonomous and Stochastic Dynamical Systems.- Dynamics of Non-autonomous Chemostat Models.- Asymptotic Dynamics of Stochastic Lattice Differential Equations: A Review.- A Generalized Cahn-Hilliard Equation with Logarithmic Potentials.- Attractors for Multivalued Processes with Weak Continuity Properties.- L?evyareas of OrnsteinUhlenbeck processes in Hilbertspaces.- Periodic and Almost Periodic Random Inertial Manifolds for Non-Autonomous Stochastic Equations.- Some Properties for Exact Generalizedl3+