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Sturm-Liouville equation --- Differential equations --- Differential operators --- Qualitative theory --- Differential operators. --- Sturm-Liouville equation - Congresses --- Differential equations - Qualitative theory - Congresses

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Dynamics --- Ergodic theory --- Dynamics. --- Ergodic theory. --- differential equations --- partial differential equations --- difference equations --- qualitative theory of differential and difference equations --- numerical analysis --- mathematical control theory

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Ergodic theory. Information theory --- Ordinary differential equations --- Classical mechanics. Field theory --- 51 <082> --- 514.8 --- 51 <082.1> --- Mathematics--Feestbundels. Festschriften --- Geometric study of objects of mechanics and physics --- Mathematics--Series --- 514.8 Geometric study of objects of mechanics and physics --- 51 <082> Mathematics--Feestbundels. Festschriften --- Nonholonomic dynamical systems. --- Mechanics. --- Differential equations --- Mécanique --- Équations différentielles --- Qualitative theory. --- Théorie qualitative --- Mechanics --- Nonholonomic dynamical systems --- Dynamical systems, Nonholonomic --- Non-holonomic systems --- Nonholonomic systems --- Differentiable dynamical systems --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- 517.91 Differential equations --- Qualitative theory --- 517.91 --- Numerical solutions --- Mécanique. --- Théorie qualitative. --- Numerical solutions&delete&

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Enabling insight into large and complex datasets is a prevalent theme in visualization research for which different approaches are pursued. Topology-based methods are built on the idea of abstracting characteristic structures such as the topological skeleton from the data and to construct the visualizations accordingly. There are currently new demands for and renewed interest in topology-based visualization solutions. This book presents 13 peer-reviewed papers as written results from the 2005 workshop “Topology-Based Methods in Visualization” that was initiated to enable additional stimulation in this field. It contains a longer chapter dedicated to a survey of the state-of-the-art, as well as a great deal of original work by leading experts that has not been published before, spanning both theory and applications. It captures key concepts and novel ideas and serves as an overview of current trends in topology-based visualization research.

Differential equations --- Topological dynamics --- Qualitative theory --- Mathematics. --- Computer graphics. --- Visualization. --- Topology. --- Computer Graphics. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Visualisation --- Imagery (Psychology) --- Imagination --- Visual perception --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer art --- Graphic arts --- Electronic data processing --- Engineering graphics --- Image processing --- Math --- Science --- Digital techniques --- Dynamics, Topological --- Differentiable dynamical systems --- 517.91 Differential equations

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This book provides a comprehensive and systematic approach to the study of the qualitative theory of boundedness, periodicity, and stability of Volterra difference equations. The book bridges together the theoretical aspects of Volterra difference equations with its applications to population dynamics. Applications to real-world problems and open-ended problems are included throughout. This book will be of use as a primary reference to researchers and graduate students who are interested in the study of boundedness of solutions, the stability of the zero solution, or in the existence of periodic solutions using Lyapunov functionals and the notion of fixed point theory.

Volterra equations. --- Differential equations --- 517.91 Differential equations --- Equations, Volterra --- Integral equations --- Qualitative theory. --- Functional equations. --- Genetics --- Difference and Functional Equations. --- Genetics and Population Dynamics. --- Mathematics. --- Biology --- Embryology --- Mendel's law --- Adaptation (Biology) --- Breeding --- Chromosomes --- Heredity --- Mutation (Biology) --- Variation (Biology) --- Equations, Functional --- Functional analysis --- Difference equations. --- Biomathematics. --- Mathematics --- Calculus of differences --- Differences, Calculus of --- Equations, Difference