03210nam 22007095 450 991098329940332120250411213850.09789819782697981978269410.1007/978-981-97-8269-7(CKB)37156207900041(MiAaPQ)EBC31875823(Au-PeEL)EBL31875823(DE-He213)978-981-97-8269-7(OCoLC)1492946887(EXLCZ)993715620790004120250103d2025 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierStructure and Dynamics of Asymmetric Interactions /by Naohito Chino1st ed. 2025.Singapore :Springer Nature Singapore :Imprint: Springer,2025.1 online resource (0 pages)Mathematics and Statistics Series9789819782680 9819782686 Bird’s-eye view of asymmetric interactions among elements -- Chino’s ASYMSCAL -- GIPSCAL -- HFM -- How to use HFM for asymmetric MDS.This book integrates the fundamentals of asymmetric multidimensional scaling, spectral graph theory, graph embedding theory, and various dynamical systems theories, that deal with the static and dynamic aspects of asymmetric phenomena. In this way, it provides a comprehensive introduction to theories and methods for analyzing phenomena observed universally in social, behavioral, economical, geographical, biological, neural, chemical reaction and other networks. The topics addressed in here include the notions of asymmetric similarity matrices, graph spectra, dimension reduction, and difference and differential equations to describe the dynamics of networks, bifurcation of vector fields, Mandelbrot sets, fractals and chaos, and Hilbert spaces. Illustrated by carefully chosen examples and supported by extensive simulation studies, the book is highly recommended to readers who seek to discover static asymmetric structures among members or nodes. It also appeals to those who want to understand the kinds of dynamics that are theoretically possible in their research domains.StatisticsStatisticsSystem theoryControl theoryGraph theoryPsychometricsApplied StatisticsStatistical Theory and MethodsSystems Theory, ControlGraph TheoryPsychometricsStatistics.Statistics.System theory.Control theory.Graph theory.Psychometrics.Applied Statistics.Statistical Theory and Methods.Systems Theory, Control.Graph Theory.Psychometrics.519Chino Naohito1785987MiAaPQMiAaPQMiAaPQBOOK9910983299403321Structure and Dynamics of Asymmetric Interactions4317409UNINA