Author: Christian L. E. Franzke Publisher: Cambridge University Press ISBN: 1316883213 Category : Science Languages : en Pages : 612
Book Description
It is now widely recognized that the climate system is governed by nonlinear, multi-scale processes, whereby memory effects and stochastic forcing by fast processes, such as weather and convective systems, can induce regime behavior. Motivated by present difficulties in understanding the climate system and to aid the improvement of numerical weather and climate models, this book gathers contributions from mathematics, physics and climate science to highlight the latest developments and current research questions in nonlinear and stochastic climate dynamics. Leading researchers discuss some of the most challenging and exciting areas of research in the mathematical geosciences, such as the theory of tipping points and of extreme events including spatial extremes, climate networks, data assimilation and dynamical systems. This book provides graduate students and researchers with a broad overview of the physical climate system and introduces powerful data analysis and modeling methods for climate scientists and applied mathematicians.
Author: Henk A. Dijkstra Publisher: Cambridge University Press ISBN: 1107244374 Category : Science Languages : en Pages : 371
Book Description
This book introduces stochastic dynamical systems theory in order to synthesize our current knowledge of climate variability. Nonlinear processes, such as advection, radiation and turbulent mixing, play a central role in climate variability. These processes can give rise to transition phenomena, associated with tipping or bifurcation points, once external conditions are changed. The theory of dynamical systems provides a systematic way to study these transition phenomena. Its stochastic extension also forms the basis of modern (nonlinear) data analysis techniques, predictability studies and data assimilation methods. Early chapters apply the stochastic dynamical systems framework to a hierarchy of climate models to synthesize current knowledge of climate variability. Later chapters analyse phenomena such as the North Atlantic Oscillation, El Niño/Southern Oscillation, Atlantic Multidecadal Variability, Dansgaard–Oeschger events, Pleistocene ice ages and climate predictability. This book will prove invaluable for graduate students and researchers in climate dynamics, physical oceanography, meteorology and paleoclimatology.
Author: Sara Fovargue Publisher: Cambridge University Press ISBN: 1139503987 Category : Law Languages : en Pages : 307
Book Description
Some developing biotechnologies challenge accepted legal and ethical norms because of the risks they pose. Xenotransplantation (cross-species transplantation) may prolong life but may also harm the xeno-recipient and the public due to its potential to transmit infectious diseases. These trans-boundary diseases emphasise the global nature of advances in health care and highlight the difficulties of identifying, monitoring and regulating such risks and thereby protecting individual and public health. Xenotransplantation raises questions about how uncertainty and risk are understood and accepted, and exposes tensions between private benefit and public health. Where public health is at risk, a precautionary approach informed by the harm principle supports prioritising the latter, but the issues raised by genetically engineered solid organ xenotransplants have not, as yet, been sufficiently discussed. This must occur prior to their clinical introduction because of the necessary changes to accepted norms which are needed to appropriately safeguard individual and public health.
Author: George Datseris Publisher: Springer Nature ISBN: 3030910326 Category : Science Languages : en Pages : 243
Book Description
This concise and up-to-date textbook provides an accessible introduction to the core concepts of nonlinear dynamics as well as its existing and potential applications. The book is aimed at students and researchers in all the diverse fields in which nonlinear phenomena are important. Since most tasks in nonlinear dynamics cannot be treated analytically, skills in using numerical simulations are crucial for analyzing these phenomena. The text therefore addresses in detail appropriate computational methods as well as identifying the pitfalls of numerical simulations. It includes numerous executable code snippets referring to open source Julia software packages. Each chapter includes a selection of exercises with which students can test and deepen their skills.
Author: Steven H. Strogatz Publisher: CRC Press ISBN: 0429961111 Category : Mathematics Languages : en Pages : 532
Book Description
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Author: Marco Thiel Publisher: Springer ISBN: 3642046290 Category : Science Languages : en Pages : 300
Book Description
This book is a collection of papers contributed by some of the greatest names in the areas of chaos and nonlinear dynamics. Each paper examines a research topic at the frontier of the area of dynamical systems. As well as reviewing recent results, each paper also discusses the future perspectives of each topic. The result is an invaluable snapshot of the state of the ?eld by some of the most important researchers in the area. The ?rst contribution in this book (the section entitled “How did you get into Chaos?”) is actually not a paper, but a collection of personal accounts by a number of participants of the conference held in Aberdeen in September 2007 to honour Celso Grebogi’s 60th birthday. At the instigation of James Yorke, many of the most well-known scientists in the area agreed to share their tales on how they got involved in chaos during a celebratory dinner in Celso’s honour during the conference. This was recorded in video, we felt that these accounts were a valuable historic document for the ?eld. So we decided to transcribe it and include it here as the ?rst section of the book.
Author: Peter Imkeller Publisher: Birkhäuser ISBN: 3034882874 Category : Mathematics Languages : en Pages : 413
Book Description
A collection of articles written by mathematicians and physicists, designed to describe the state of the art in climate models with stochastic input. Mathematicians will benefit from a survey of simple models, while physicists will encounter mathematically relevant techniques at work.
Author: Jinqiao Duan Publisher: Cambridge University Press ISBN: 1107075394 Category : Mathematics Languages : en Pages : 313
Book Description
An accessible introduction for applied mathematicians to concepts and techniques for describing, quantifying, and understanding dynamics under uncertainty.
Author: Serguei G. Dobrovolski Publisher: Springer Science & Business Media ISBN: 3662041197 Category : Science Languages : en Pages : 290
Book Description
The author describes the stochastic (probabilistic) approach to the study of changes in the climate system. Climatic data and theoretical considerations suggest that a large part of climatic variation/variability has a random nature and can be analyzed using the theory of stochastic processes. This work summarizes the results of processing existing records of climatic parameters as well as appropriate theories: from the theory of random processes (based on the results of Kolmogorov and Yaglom) and Hasselmann's "stochastic climate model theory" to recently obtained results.
Author: Christian L. E. Franzke
Author: Christian L. E. Franzke
Author: Henk A. Dijkstra
Author: Sara Fovargue
Author: George Datseris
Author: Steven H. Strogatz
Author: Marco Thiel
Author: Peter Imkeller
Author: Jinqiao Duan
Author: Serguei G. Dobrovolski