Noise-Induced Phenomena in the Environmental Sciences

Noise-Induced Phenomena in the Environmental Sciences PDF Author: Luca Ridolfi
Publisher: Cambridge University Press
ISBN: 1139498258
Category : Science
Languages : en
Pages : 327

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Book Description
Randomness is ubiquitous in nature. Random drivers are generally considered a source of disorder in environmental systems. However, the interaction between noise and nonlinear dynamics may lead to the emergence of a number of ordered behaviors (in time and space) that would not exist in the absence of noise. This counterintuitive effect of randomness may play a crucial role in environmental processes. For example, seemingly 'random' background events in the atmosphere can grow into larger instabilities that have great effects on weather patterns. This book presents the basics of the theory of stochastic calculus and its application to the study of noise-induced phenomena in environmental systems. It will be an invaluable reference text for ecologists, geoscientists and environmental engineers interested in the study of stochastic environmental dynamics.

Noise-Induced Phenomena in the Environmental Sciences

Noise-Induced Phenomena in the Environmental Sciences PDF Author: Luca Ridolfi
Publisher: Cambridge University Press
ISBN: 1139498258
Category : Science
Languages : en
Pages : 327

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Book Description
Randomness is ubiquitous in nature. Random drivers are generally considered a source of disorder in environmental systems. However, the interaction between noise and nonlinear dynamics may lead to the emergence of a number of ordered behaviors (in time and space) that would not exist in the absence of noise. This counterintuitive effect of randomness may play a crucial role in environmental processes. For example, seemingly 'random' background events in the atmosphere can grow into larger instabilities that have great effects on weather patterns. This book presents the basics of the theory of stochastic calculus and its application to the study of noise-induced phenomena in environmental systems. It will be an invaluable reference text for ecologists, geoscientists and environmental engineers interested in the study of stochastic environmental dynamics.

Ecohydrology

Ecohydrology PDF Author: Amilcare Porporato
Publisher: Cambridge University Press
ISBN: 110884054X
Category : Science
Languages : en
Pages : 397

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Book Description
Rigorous yet accessible textbook on ecohydrology for advanced students, and a reference for researchers, professionals, and engineers.

Noise-Induced Transitions

Noise-Induced Transitions PDF Author: W. Horsthemke
Publisher: Springer Science & Business Media
ISBN: 3540368523
Category : Science
Languages : en
Pages : 322

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Book Description
The study of phase transitions is among the most fascinating fields in physics. Originally limited to transition phenomena in equilibrium systems, this field has outgrown its classical confines during the last two decades. The behavior of far from equilibrium systems has received more and more attention and has been an extremely active and productive subject of research for physicists, chemists and biologists. Their studies have brought about a more unified vision of the laws which govern self-organization processes of physico-chemical and biological sys tems. A major achievement has been the extension of the notion of phase transi tion to instabilities which occur only in open nonlinear systems. The notion of phase transition has been proven fruitful in apphcation to nonequilibrium ins- bihties known for about eight decades, like certain hydrodynamic instabilities, as well as in the case of the more recently discovered instabilities in quantum optical systems such as the laser, in chemical systems such as the Belousov-Zhabotinskii reaction and in biological systems. Even outside the realm of natural sciences, this notion is now used in economics and sociology. In this monograph we show that the notion of phase transition can be extend ed even further. It apphes also to a new class of transition phenomena which occur only in nonequilibrium systems subjected to a randomly fluctuating en vironment.

Bounded Noises in Physics, Biology, and Engineering

Bounded Noises in Physics, Biology, and Engineering PDF Author: Alberto d'Onofrio
Publisher: Springer Science & Business Media
ISBN: 1461473853
Category : Mathematics
Languages : en
Pages : 290

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Book Description
​​Since the parameters in dynamical systems of biological interest are inherently positive and bounded, bounded noises are a natural way to model the realistic stochastic fluctuations of a biological system that are caused by its interaction with the external world. Bounded Noises in Physics, Biology, and Engineering is the first contributed volume devoted to the modeling of bounded noises in theoretical and applied statistical mechanics, quantitative biology, and mathematical physics. It gives an overview of the current state-of-the-art and is intended to stimulate further research. The volume is organized in four parts. The first part presents the main kinds of bounded noises and their applications in theoretical physics. The theory of bounded stochastic processes is intimately linked to its applications to mathematical and statistical physics, and it would be difficult and unnatural to separate the theory from its physical applications. The second is devoted to framing bounded noises in the theory of random dynamical systems and random bifurcations, while the third is devoted to applications of bounded stochastic processes in biology, one of the major areas of potential applications of this subject. The final part concerns the application of bounded stochastic processes in mechanical and structural engineering, the area where the renewed interest for non-Gaussian bounded noises started. Pure mathematicians working on stochastic calculus will find here a rich source of problems that are challenging from the point of view of contemporary nonlinear analysis. Bounded Noises in Physics, Biology, and Engineering is intended for scientists working on stochastic processes with an interest in both fundamental issues and applications. It will appeal to a broad range of applied mathematicians, mathematical biologists, physicists, engineers, and researchers in other fields interested in complexity theory. It is accessible to anyone with a working knowledge of stochastic modeling, from advanced undergraduates to senior researchers.

Advances in Nonlinear Geosciences

Advances in Nonlinear Geosciences PDF Author: Anastasios A. Tsonis
Publisher: Springer
ISBN: 3319588958
Category : Science
Languages : en
Pages : 708

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Book Description
Advances in Nonlinear Geosciences is a set of contributions from the participants of “30 Years of Nonlinear Dynamics” held July 3-8, 2016 in Rhodes, Greece as part of the Aegean Conferences, as well as from several other experts in the field who could not attend the meeting. The volume brings together up-to-date research from the atmospheric sciences, hydrology, geology, and other areas of geosciences and presents the new advances made in the last 10 years. Topics include chaos synchronization, topological data analysis, new insights on fractals, multifractals and stochasticity, climate dynamics, extreme events, complexity, and causality, among other topics.

Modeling and Inverse Problems in the Presence of Uncertainty

Modeling and Inverse Problems in the Presence of Uncertainty PDF Author: H. T. Banks
Publisher: CRC Press
ISBN: 1482206420
Category : Mathematics
Languages : en
Pages : 408

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Book Description
Modeling and Inverse Problems in the Presence of Uncertainty collects recent research—including the authors’ own substantial projects—on uncertainty propagation and quantification. It covers two sources of uncertainty: where uncertainty is present primarily due to measurement errors and where uncertainty is present due to the modeling formulation itself. After a useful review of relevant probability and statistical concepts, the book summarizes mathematical and statistical aspects of inverse problem methodology, including ordinary, weighted, and generalized least-squares formulations. It then discusses asymptotic theories, bootstrapping, and issues related to the evaluation of correctness of assumed form of statistical models. The authors go on to present methods for evaluating and comparing the validity of appropriateness of a collection of models for describing a given data set, including statistically based model selection and comparison techniques. They also explore recent results on the estimation of probability distributions when they are embedded in complex mathematical models and only aggregate (not individual) data are available. In addition, they briefly discuss the optimal design of experiments in support of inverse problems for given models. The book concludes with a focus on uncertainty in model formulation itself, covering the general relationship of differential equations driven by white noise and the ones driven by colored noise in terms of their resulting probability density functions. It also deals with questions related to the appropriateness of discrete versus continuum models in transitions from small to large numbers of individuals. With many examples throughout addressing problems in physics, biology, and other areas, this book is intended for applied mathematicians interested in deterministic and/or stochastic models and their interactions. It is also suitable for scientists in biology, medicine, engineering, and physics working on basic modeling and inverse problems, uncertainty in modeling, propagation of uncertainty, and statistical modeling.

Nonlinear Physics of Ecosystems

Nonlinear Physics of Ecosystems PDF Author: Ehud Meron
Publisher: CRC Press
ISBN: 1439826323
Category : Nature
Languages : en
Pages : 347

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Book Description
Nonlinear Physics of Ecosystems introduces the concepts and tools of pattern formation theory and demonstrates their utility in ecological research using problems from spatial ecology. Written in language understandable to both physicists and ecologists in most parts, the book reveals the mechanisms of pattern formation and pattern dynamics. It als

Global Deforestation

Global Deforestation PDF Author: Christiane Runyan
Publisher: Cambridge University Press
ISBN: 1107135265
Category : Business & Economics
Languages : en
Pages : 277

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Book Description
A concise but comprehensive interdisciplinary examination of global deforestation for a broad audience of scientists and policymakers.

Dryland Ecohydrology

Dryland Ecohydrology PDF Author: Paolo D'Odorico
Publisher: Springer Nature
ISBN: 3030232697
Category : Science
Languages : en
Pages : 594

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Book Description
By combining the analysis of biotic and abiotic components of terrestrial ecosystems, this book synthesizes material on arid and semiarid landscapes, which was previously scattered among various books and journal articles. It focuses on water-limited ecosystems, which are highly sensitive to fluctuations in hydrologic conditions and, in turn, play an important role in affecting the regional water cycle. Intended as a tool for scientists working in the area of the earth and environmental sciences, this book presents the basic principles of eco-hydrology as well as a broad spectrum of topics and advances in this research field. Written by authors with diverse areas of expertise who work in arid areas around the world, the contributions describe the various interactions between the biological and physical dynamics in dryland ecosystems, ranging from basic processes in the soil-vegetation-climate system, to landscape-scale hydrologic and geomorphic processes, ecohydrologic controls on soil nutrient dynamics, and multiscale analyses of disturbances and patterns

Environmental Science (Speedy Study Guides)

Environmental Science (Speedy Study Guides) PDF Author: Speedy Publishing
Publisher: Speedy Publishing LLC
ISBN: 1681850427
Category : Science
Languages : en
Pages : 6

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Book Description
Do your part in caring for the environment by first understanding the core elements of environmental science. This straightforward study guide will help you come into terms with the problems that change the environment, some of which you may have contributed to. Also, know how science can help correct these problems so you can better support research and help raise public awareness too.