On Coexistence Patterns
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On Coexistence Patterns
Author: Sindre W. Haugland
language: en
Publisher: Springer Nature
Release Date: 2023-02-20
This book is about coexistence patterns in ensembles of globally coupled nonlinear oscillators. Coexistence patterns in this respect are states of a dynamical system in which the dynamics in some parts of the system differ significantly from those in other parts, even though there is no underlying structural difference between the different parts. In other words, these asymmetric patterns emerge in a self-organized manner. As our main model, we use ensembles of various numbers of Stuart-Landau oscillators, all with the same natural frequency and all coupled equally strongly to each other. Employing computer simulations, bifurcation analysis and symmetry considerations, we uncover the mechanism behind a wide range of complex patterns found in these ensembles. Our starting point is the creation of so-called chimeras, which are subsequently treated within a new and broader context of related states.
Species Coexistence
As a novel endeavour in ecological science, this book focuses on amajor issue in organismal life on Earth:species coexistence. Thebook crosses the usual disciplinary boundaries betweenpalaeobiology, ecology and evolutionary biology and provides atimely overview of the patterns and processes of species diversityand coexistence on a range of spatio-temporal scales. In thisunique synthesis, the author offers a critical and penetratingexamination of the concepts and models of coexistence and communitystructure, thus making a valuable contribution to the field ofcommunity ecology. There is an emphasis on clarity andaccessibility without sacrificing scientific rigour, making thisbook suitable for both advanced students and individual researchersin ecology, palaeobiology and environmental and evolutionarybiology. Comprehensive and contemporary synthesis. Pulls together the aggregate influence of evolution and ecologyon patterns in communities. Balanced mix of theory and empirical work. Clearly structured chapters with short introduction andsummary.
Radially Symmetric Patterns of Reaction-Diffusion Systems
Includes a paper that studies bifurcations of stationary and time-periodic solutions to reaction-diffusion systems. This title develops a center-manifold and normal form theory for radial dynamics which allows for a complete description of radially symmetric patterns.