03646nam 22005655 450 991025430200332120251116182833.03-319-61934-910.1007/978-3-319-61934-7(CKB)3710000001631065(MiAaPQ)EBC4946532(DE-He213)978-3-319-61934-7(PPN)20385179X(EXLCZ)99371000000163106520170811d2017 u| 0engurcnu||||||||rdacontentrdamediardacarrierAttractors under discretisation /by Xiaoying Han, Peter Kloeden1st ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (121 pages)SpringerBriefs in Mathematics,2191-81983-319-61933-0 Part I Dynamical systems and numerical schemes -- 1 Lyapunov stability and dynamical systems -- 2 One step numerical schemes -- Part II Steady states under discretization -- 3 Linear systems -- 4 Lyapunov functions -- 5 Dissipative systems with steady states -- 6 Saddle points under discretisation . Part III Autonomous attractors under discretization -- 7 Dissipative systems with attractors -- 8 Lyapunov functions for attractors -- 9 Discretisation of an attractor. Part IV Nonautonomous limit sets under discretization -- 10 Dissipative nonautonomous systems -- 11 Discretisation of nonautonomous limit sets -- 12 Variable step size -- 13 Discretisation of a uniform pullback attractor -- Notes -- References.This work focuses on the preservation of attractors and saddle points of ordinary differential equations under discretisation. In the 1980s, key results for autonomous ordinary differential equations were obtained – by Beyn for saddle points and by Kloeden & Lorenz for attractors. One-step numerical schemes with a constant step size were considered, so the resulting discrete time dynamical system was also autonomous. One of the aims of this book is to present new findings on the discretisation of dissipative nonautonomous dynamical systems that have been obtained in recent years, and in particular to examine the properties of nonautonomous omega limit sets and their approximations by numerical schemes – results that are also of importance for autonomous systems approximated by a numerical scheme with variable time steps, thus by a discrete time nonautonomous dynamical system.SpringerBriefs in Mathematics,2191-8198Numerical analysisDynamicsErgodic theoryDifferential equationsNumerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Dynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XOrdinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Numerical analysis.Dynamics.Ergodic theory.Differential equations.Numerical Analysis.Dynamical Systems and Ergodic Theory.Ordinary Differential Equations.514.74Han Xiaoyingauthttp://id.loc.gov/vocabulary/relators/aut755831Kloeden Peterauthttp://id.loc.gov/vocabulary/relators/autBOOK9910254302003321Attractors Under Discretisation2179913UNINA03249nam 22005895 450 991034945300332120250609112530.03-319-92546-610.1007/978-3-319-92546-2(CKB)4100000008742991(MiAaPQ)EBC5836922(DE-He213)978-3-319-92546-2(PPN)238490882(MiAaPQ)EBC5917718(EXLCZ)99410000000874299120190721d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierEcomorphology of Cyclorrhaphan Larvae (Diptera) /by Graham E. Rotheray1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (289 pages)Zoological Monographs,2523-3904 ;43-319-92545-8 Chapter 1: The Cyclorrhaphan larva -- Chapter 2: Acquiring data: targets, problems and solutions -- Chapter 3: Forms, functions and names -- Chapter 4: Mobility and locomotion -- Chapter 5: Respiration -- Chapter 6: Saprophagy, developing on decay -- Chapter 7: Phytophagy and mycophagy -- Chapter 8: Zoophagy: predation and parasitism -- Chapter 9: The Cyclorrhaphan larva as a data source.This book offers an overview of the larva of Diptera Cyclorrhapha. It first discusses the principal forms, functions and roles of larvae, and then evaluates feeding, locomotion and respiration in larval saprophages, phytophages and zoophages as keys to understanding and predicting larval morphology. It also highlights how the environment affects morphology, the adaptiveness of morphological features and compares the adaptive features. Assessing the larval attributes that have the potential to explain the success of the Cyclorrhapha, the book also suggests future research directions and provides a summary of main findings and conclusions. As such, it appeals to entomologists, evolutionary biologists and Diptera researchers in all fields.Zoological Monographs,2523-3904 ;4EntomologyAnimal ecologyEvolution (Biology)AnatomyEntomologyhttps://scigraph.springernature.com/ontologies/product-market-codes/L25090Animal Ecologyhttps://scigraph.springernature.com/ontologies/product-market-codes/L19015Evolutionary Biologyhttps://scigraph.springernature.com/ontologies/product-market-codes/L21001Animal Anatomy / Morphology / Histologyhttps://scigraph.springernature.com/ontologies/product-market-codes/L25015Entomology.Animal ecology.Evolution (Biology)Anatomy.Entomology.Animal Ecology.Evolutionary Biology.Animal Anatomy / Morphology / Histology.571.876Rotheray Graham E.authttp://id.loc.gov/vocabulary/relators/aut938699BOOK9910349453003321Ecomorphology of Cyclorrhaphan Larvae (Diptera)2115716UNINA