Dissipative Structures and Weak Turbulence

Dissipative Structures and Weak Turbulence
Author:
Publisher: Academic Press
Total Pages: 505
Release: 2014-06-28
Genre: Science
ISBN: 008092445X

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Dissipative Structure and Weak Turbulence provides an understanding of the emergence and evolution of structures in macroscopic systems. This book discusses the emergence of dissipative structures. Organized into 10 chapters, this book begins with an overview of the stability of a fluid layer with potentially unstable density stratification in the field of gravity. This text then explains the theoretical description of the dynamics of a given system at a formal level. Other chapters consider several examples of how such simplified models can be derived, complicating the picture progressively to account for other phenomena. This book discusses as well the theory and experiments on plain Rayleigh–Bénard convection by setting first the theoretical frame and deriving the analytical solution of the marginal stability problem. The final chapter deals with building a bridge between chaos as studied in weakly confined systems and more advanced turbulence in the most conventional sense. This book is a valuable resource for physicists.

Predator-Prey Dynamics

Predator-Prey Dynamics
Author: Michael R. Conover
Publisher: CRC Press
Total Pages: 266
Release: 2007-03-30
Genre: Nature
ISBN: 1420009125

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Humans, being visually oriented, are well versed in camouflage and how animals hide from predators that use vision to locate prey. However, many predators do not hunt by sight; they hunt by scent. This raises the question: do survival mechanisms and behaviors exist which allow animals to hide from these olfactory predators? If so, what are they, a

Global Dynamical Properties of Lotka-Volterra Systems

Global Dynamical Properties of Lotka-Volterra Systems
Author: Y. Takeuchi
Publisher: World Scientific
Total Pages: 324
Release: 1996
Genre: Science
ISBN: 9789810224714

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Mathematical ecology is a subject which recently attracts attentions of many mathematicians and biologists. One of the most important and fundamental mathematical models in ecology is of Lotka-Volterra type. This book gives global dynamical properties of L-V systems. The properties analyzed are global stability of the equilibria, persistence or permanence of the systems (which ensures the survival of all the biological-species composed of the systems for the long term) and the existence of periodic or chaotic solutions. The special subject of this book is to consider the effects of the systems structure, diffusion of the biological species and time delay on the global dynamical properties of the systems.

Patch Dynamics

Patch Dynamics
Author: Simon A. Levin
Publisher: Springer Science & Business Media
Total Pages: 324
Release: 2012-12-06
Genre: Science
ISBN: 3642501559

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From the preface by Joel E. Cohen: "A century from now humanity will live in a managed - or mismanaged - global garden. We are debating the need to preserve tropical forests. Farming of the sea is providing an increasing part of our fish supply. We are beginning to control atmospheric emissions. In 100 years, we shall use novel farming practices and genetic engineering of bacteria to manipulate the methane production of rice fields. The continental shelf will be providing food, energy, possibly even living space. To make such intensive management possible will require massive improvements in data collection and analysis, and especially in our concepts. A century hence we will live on a wired earth: the oceans and the crust of the earth will receive the same comprehensive monitoring now devoted to weather. As the peoples of currently developing countries increase their levels of wealth, the need for global management will become irresistible as impatience with the accidents of nature and intolerance of mismanagement of the environment - especially of living resources - grow. Our control of physical perturbations and chemical inputs to the environment will be judged by the consequences to living organisms and biological communities. How can we obtain the factual and theoretical foundation needed to move from our present, fragmented knowledge and limited abilities to a managed, global garden?" This problem was addressed in the lectures and workshops of a summer school on patch dynamics at Cornell University. The school emphasized the analysis and interpretation of spatial patterns in terrestrial and marine environments. This book contains the course material of this school, combining general reviews with specific applications.

Theory and Applications of Partial Functional Differential Equations

Theory and Applications of Partial Functional Differential Equations
Author: Jianhong Wu
Publisher: Springer Science & Business Media
Total Pages: 441
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461240506

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Abstract semilinear functional differential equations arise from many biological, chemical, and physical systems which are characterized by both spatial and temporal variables and exhibit various spatio-temporal patterns. The aim of this book is to provide an introduction of the qualitative theory and applications of these equations from the dynamical systems point of view. The required prerequisites for that book are at a level of a graduate student. The style of presentation will be appealing to people trained and interested in qualitative theory of ordinary and functional differential equations.

Global Dynamical Properties Of Lotka-volterra Systems

Global Dynamical Properties Of Lotka-volterra Systems
Author: Yasuhiro Takeuchi
Publisher: World Scientific
Total Pages: 316
Release: 1996-04-13
Genre: Mathematics
ISBN: 9814499633

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Mathematical ecology is a subject which recently attracts attentions of many mathematicians and biologists. One of the most important and fundamental mathematical models in ecology is of Lotka-Volterra type. This book gives global dynamical properties of L-V systems. The properties analyzed are global stability of the equilibria, persistence or permanence of the systems (which ensures the survival of all the biological-species composed of the systems for the long term) and the existence of periodic or chaotic solutions. The special subject of this book is to consider the effects of the systems structure, diffusion of the biological species and time delay on the global dynamical properties of the systems.

Differential Equations and Dynamical Systems

Differential Equations and Dynamical Systems
Author: Antonio Galves
Publisher: American Mathematical Soc.
Total Pages: 376
Release: 2002-01-01
Genre: Mathematics
ISBN: 9780821871386

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This volume contains contributed papers authored by participants of a Conference on Differential Equations and Dynamical Systems which was held at the Instituto Superior Tecnico (Lisbon, Portugal). The conference brought together a large number of specialists in the area of differential equations and dynamical systems and provided an opportunity to celebrate Professor Waldyr Oliva's 70th birthday, honoring his fundamental contributions to the field. The volume constitutes anoverview of the current research over a wide range of topics, extending from qualitative theory for (ordinary, partial or functional) differential equations to hyperbolic dynamics and ergodic theory.