On Coexistence Patterns

On Coexistence Patterns
Author: Sindre W. Haugland
Publisher: Springer Nature
Total Pages: 340
Release: 2023-02-20
Genre: Science
ISBN: 3031214986

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.

Encyclopedia of Ecology

Encyclopedia of Ecology
Author: Brian D. Fath
Publisher: Elsevier
Total Pages: 2786
Release: 2018-08-23
Genre: Science
ISBN: 0444641300

Encyclopedia of Ecology, Second Edition, Four Volume Set continues the acclaimed work of the previous edition published in 2008. It covers all scales of biological organization, from organisms, to populations, to communities and ecosystems. Laboratory, field, simulation modelling, and theoretical approaches are presented to show how living systems sustain structure and function in space and time. New areas of focus include micro- and macro scales, molecular and genetic ecology, and global ecology (e.g., climate change, earth transformations, ecosystem services, and the food-water-energy nexus) are included. In addition, new, international experts in ecology contribute on a variety of topics. Offers the most broad-ranging and comprehensive resource available in the field of ecology Provides foundational content and suggests further reading Incorporates the expertise of over 500 outstanding investigators in the field of ecology, including top young scientists with both research and teaching experience Includes multimedia resources, such as an Interactive Map Viewer and links to a CSDMS (Community Surface Dynamics Modeling System), an open-source platform for modelers to share and link models dealing with earth system processes

Species Coexistence

Species Coexistence
Author: M. Tokeshi
Publisher: John Wiley & Sons
Total Pages: 464
Release: 2009-06-22
Genre: Science
ISBN: 1444313355

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.

Activity Patterns in Small Mammals

Activity Patterns in Small Mammals
Author: S. Halle
Publisher: Springer
Total Pages: 331
Release: 2012-12-06
Genre: Science
ISBN: 364218264X

Environmental conditions change considerably in the course of 24 h with respect to abiotic factors and intra- and interspecific interactions. These changes result in limited time windows of opportunity for animal activities and, hence, the question of when to do what is subject to fitness maximisation. This volume gives a current overview of theoretical considerations and empirical findings of activity patterns in small mammals, a group in which the energetic and ecological constraints are particularly severe and the diversity of activity patterns is particularly high. Following a comparative ecological approach, for the first time activity timing is consequently treated in terms of behavioural and evolutionary ecology, providing the conceptual framework for chronoecology as a new subdiscipline within behavioural ecology. An extensive Appendix gives an introduction to methods of activity modelling and to tools for statistical pattern analysis.

Radially Symmetric Patterns of Reaction-Diffusion Systems

Radially Symmetric Patterns of Reaction-Diffusion Systems
Author: Arnd Scheel
Publisher: American Mathematical Soc.
Total Pages: 102
Release: 2003
Genre: Mathematics
ISBN: 0821833731

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.

Morphogenesis and Pattern Formation in Biological Systems

Morphogenesis and Pattern Formation in Biological Systems
Author: T. Sekimura
Publisher: Springer Science & Business Media
Total Pages: 391
Release: 2013-11-11
Genre: Mathematics
ISBN: 4431659587

A central goal of biology is to decode the mechanisms that underlie the processes of morphogenesis and pattern formation. Concerned with the analysis of those phenomena, this book integrates experimental and theoretical aspects of biology for the construction and investigation of models of complex processes. It offers an interdisciplinary approach to the pattern formation problems and provides a scope of forthcoming integrated biology including experiments and theories.

Thermal Convection

Thermal Convection
Author: Marcello Lappa
Publisher: John Wiley & Sons
Total Pages: 690
Release: 2009-11-05
Genre: Science
ISBN: 0470749997

Thermal Convection - Patterns, Stages of Evolution and Stability Behavior provides the reader with an ensemble picture of the subject, illustrating the state-of-the-art and providing the researchers from universities and industry with a basis on which they are able to estimate the possible impact of a variety of parameters. Unlike earlier books on the subject, the heavy mathematical background underlying and governing the behaviors illustrated in the text are kept to a minimum. The text clarifies some still unresolved controversies pertaining to the physical nature of the dominating driving force responsible for asymmetric/oscillatory convection in various natural phenomena and/or technologically important processes and can help researchers in elaborating and validating new, more complex models, in accelerating the current trend towards predictable and reproducible natural phenomena and in establishing an adequate scientific foundation to industrial processes. Thermal Convection - Patterns, Stages of Evolution and Stability Behavior is intended as a useful reference guide for specialists in disciplines such as the metallurgy and foundry field and researchers and scientists who are now coordinating their efforts to improve the quality of semiconductor or macromolecular crystals. The text may also be of use to organic chemists and materials scientists, atmosphere and planetary physicists, as well as an advanced level text for students taking part in courses on the physics of fluids, fluid mechanics, the behavior and evolution of non-linear systems, environmental phenomena and materials engineering.

Competition Theory in Ecology

Competition Theory in Ecology
Author: Peter A. Abrams
Publisher: Oxford University Press
Total Pages: 336
Release: 2022-09-30
Genre: Nature
ISBN: 0192895524

Competition between species arises when two or more species share at least some of the same limited resources. It is likely to affect all species, as well as many higher-level aspects of community and ecosystem dynamics. Interspecific competition shares many of the same features as density dependence (intraspecific competition) and evolution (competition between genotypes). In spite of this, a robust theoretical framework is not yet in place to develop a more coherent understanding of this important interaction. Despite its prominence in the ecological literature, the theory seems to have lost direction in recent decades, with many synthetic papers promoting outdated ideas, failing to use resource-based models, and having little utility in applied fields such as conservation and environmental management. Competition theory has done little to incorporate new findings regarding consumer-resource interactions in the context of larger food webs containing behaviourally or evolutionarily adapting components. Overly simple models and methods of analysis continue to be influential. Competition Theory in Ecology represents a timely opportunity to address these shortcomings and suggests a more useful approach to modelling that can provide a basis for future models that have greater predictive ability in both ecology and evolution. The book concludes with some broader observations on the lack of agreement on general principles to use in constructing mathematical models to help understand ecological systems. It argues that a more open discussion and debate of the underlying structure of ecological theory is now urgently required to move the field forward.

New Directions in Statistical Physics

New Directions in Statistical Physics
Author: Luc T. Wille
Publisher: Springer Science & Business Media
Total Pages: 369
Release: 2013-03-09
Genre: Science
ISBN: 3662089688

This book provides a unique insight into the latest breakthroughs in a consistent manner, at a level accessible to undergraduates, yet with enough attention to the theory and computation to satisfy the professional researcher Statistical physics addresses the study and understanding of systems with many degrees of freedom. As such it has a rich and varied history, with applications to thermodynamics, magnetic phase transitions, and order/disorder transformations, to name just a few. However, the tools of statistical physics can be profitably used to investigate any system with a large number of components. Thus, recent years have seen these methods applied in many unexpected directions, three of which are the main focus of this volume. These applications have been remarkably successful and have enriched the financial, biological, and engineering literature. Although reported in the physics literature, the results tend to be scattered and the underlying unity of the field overlooked.