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Metaphors and Systemic Change

Tim O’Riordan, Tim Lenton, and Ian Christie

in Addressing Tipping Points for a Precarious Future

Published in print:
2013
Published Online:
January 2014
ISBN:
9780197265536
eISBN:
9780191760327
Item type:
chapter
Publisher:
British Academy
DOI:
10.5871/bacad/9780197265536.003.0001
Subject:
Political Science, Environmental Politics

Tipping points are metaphors of sudden change, of fear, of falling, of foreboding, and of failure. Tipping points are thresholds of tolerance, of bifurcation, and of transformation which are built ... More


A Primer for Dynamical Systems

Kevin S. McCann

in Food Webs (MPB-50)

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691134178
eISBN:
9781400840687
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691134178.003.0002
Subject:
Biology, Ecology

This chapter introduces the reader to some of the main conceptual ideas behind dynamical systems theory from the perspective of an experimentalist. It first considers the qualitative approaches used ... More


Heroes, Herds and Hysteresis in Technological History: Thomas Edison and ‘The Battle of the Systems’ Reconsidered

Paul A. David

in Understanding Industrial and Corporate Change

Published in print:
2004
Published Online:
September 2007
ISBN:
9780199269426
eISBN:
9780191710179
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199269426.003.0011
Subject:
Business and Management, Organization Studies

This chapter looks at the development of electric lighting and power supply networks in terms of the battles waged around 1887-1892 between proponents of direct and alternative current systems of ... More


Fluctuating Nonlinear Oscillators: From Nanomechanics to Quantum Superconducting Circuits

Mark Dykman (ed.)

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199691388
eISBN:
9780191742255
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691388.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The book elucidates the physics of classical and quantum fluctuations in nonlinear oscillators and provides a unifying insight into fluctuation phenomena in a variety of vibrational systems of ... More


Foundations of the Mode-Coupling Theory for the Evolution of Glassy Dynamics in Liquids

Wolfgang Götze

in Complex Dynamics of Glass-Forming Liquids: A Mode-Coupling Theory

Published in print:
2008
Published Online:
May 2009
ISBN:
9780199235346
eISBN:
9780191715600
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199235346.003.0004
Subject:
Physics, Condensed Matter Physics / Materials

In this chapter, mode-coupling equations of motion for a correlation-function description of the dynamics of simple liquids and colloids are derived and their mathematical properties are analysed. ... More


Stochastic Dynamic Bifurcations and Excitability

Nils Berglund and Barbara Gentz

in Stochastic Methods in Neuroscience

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199235070
eISBN:
9780191715778
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199235070.003.0003
Subject:
Mathematics, Biostatistics

Some models of action potential generation in neurons like the Fitzhugh–Nagumo and the Morris–Lecar model are given by slow–fast differential equations. We outline a general theory allowing us to ... More


Mathematical and computational modelling tools

Baltazar D. Aguda and Avner Friedman

in Models of Cellular Regulation

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198570912
eISBN:
9780191718717
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570912.003.0003
Subject:
Physics, Soft Matter / Biological Physics

This chapter reviews chemical kinetics to illustrate the formulation of model equations for a given reaction mechanism. For spatially uniform systems, these model equations are usually ordinary ... More


Dynamics in State Space: One and Two Dimensions

Robert C. Hilborn

in Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers

Published in print:
2000
Published Online:
January 2010
ISBN:
9780198507239
eISBN:
9780191709340
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507239.003.0003
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The description of nonlinear behaviour using state space techniques is introduced in this chapter by examining systems with one or two dynamical variables, that is, the state spaces have one or two ... More


On Optimal Forest Management: A Bifurcation Analysis

Swapan Dasgupta and Tapan Mitra

in Dimensions of Economic Theory and Policy: Essays for Anjan Mukherji

Published in print:
2011
Published Online:
September 2012
ISBN:
9780198073970
eISBN:
9780199081615
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198073970.003.0004
Subject:
Economics and Finance, Microeconomics

The theory of optimal forest management is a key component of the economic theory of natural resources due to the fact that forests constitute a major renewable resource. It also constitutes one of ... More


BIFURCATIONS AND INSTABILITIES

Nasr M. Ghoniem and Daniel D. Walgraef

in Instabilities and Self-Organization in Materials: Volume I: Fundamentals of Nanoscience, Volume II: Applications in Materials Design and Nanotechnology

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199298686
eISBN:
9780191720222
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199298686.003.0007
Subject:
Physics, Condensed Matter Physics / Materials

This chapter focuses on the mathematical structures underlying the notions of stability, bifurcation, and instabilities in complex nonlinear dynamical systems described by sets of ordinary or partial ... More


INSTABILITIES IN REACTION–DIFFUSION DYNAMICS

Nasr M. Ghoniem and Daniel D. Walgraef

in Instabilities and Self-Organization in Materials: Volume I: Fundamentals of Nanoscience, Volume II: Applications in Materials Design and Nanotechnology

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199298686
eISBN:
9780191720222
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199298686.003.0008
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses instabilities in reaction-diffusion dynamics. Topics covered include stability in reaction-diffusion dynamics, instabilities in reaction-transport dynamics, Turing instability, ... More


Objections and Replies

Raffaella De Rosa

in Descartes and the Puzzle of Sensory Representation

Published in print:
2010
Published Online:
February 2010
ISBN:
9780199570379
eISBN:
9780191722455
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199570379.003.0007
Subject:
Philosophy, Philosophy of Mind, History of Philosophy

This final chapter addresses some possible objections to the descriptivist causal‐account of the representationality of Cartesian sensations offered in Chapter 5. Examples of these objections are: is ... More


Chaos and Fractals: An Elementary Introduction

David P. Feldman

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199566433
eISBN:
9780191774966
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199566433.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This book provides an elementary introduction to chaos and fractals. It introduces the key phenomena of chaos — aperiodicity, sensitive dependence on initial conditions, bifurcations — via simple ... More


Variational methods for wavelets, with S. Dahlke

Klaus Böhmer

in Numerical Methods for Nonlinear Elliptic Differential Equations: A Synopsis

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199577040
eISBN:
9780191595172
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199577040.003.0009
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 9 studies S. Dahlke studies wavelet methods. This is the first presentation in this generality and is appropriate for nonlinear problems and bifurcation for elliptic PDEs. As a consequence of ... More


Complex Dynamics of Glass-Forming Liquids: A Mode-Coupling Theory

Wolfgang Götze

Published in print:
2008
Published Online:
May 2009
ISBN:
9780199235346
eISBN:
9780191715600
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199235346.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

The book presents a self-contained exposition of the mode-coupling theory for the evolution of glassy dynamics in liquids. This theory is based on polynomial expressions for the correlations of force ... More


Urban Systems and Spatial Competition

Roger White, Guy Engelen, and Inge Uljee

in Modeling Cities and Regions As Complex Systems: From Theory to Planning Applications

Published in print:
2015
Published Online:
May 2016
ISBN:
9780262029568
eISBN:
9780262331371
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262029568.003.0004
Subject:
Political Science, Environmental Politics

The structure of a system of retail centres as described by their size, composition, and location, is a result of competition among the centres for customers. The evolution of the system is described ... More


Using a “frictionless” pendulum for quantum measurement

I. Siddiqi

in Quantum Machines: Measurement and Control of Engineered Quantum Systems: Lecture Notes of the Les Houches Summer School: Volume 96, July 2011

Published in print:
2014
Published Online:
September 2014
ISBN:
9780199681181
eISBN:
9780191761454
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199681181.003.0016
Subject:
Physics, Condensed Matter Physics / Materials

This chapter presents a quantum-limited amplifier based on parametric amplification and bifurcation of a Josephson junction.


Three-Dimensional State Space and Chaos

Robert C. Hilborn

in Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers

Published in print:
2000
Published Online:
January 2010
ISBN:
9780198507239
eISBN:
9780191709340
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507239.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter extends state space descriptions to systems with three (or more) dimensions. For systems described by differential equations, higher state space dimensions allow for more complex ... More


Intermittency and Crises

Robert C. Hilborn

in Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers

Published in print:
2000
Published Online:
January 2010
ISBN:
9780198507239
eISBN:
9780191709340
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507239.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter explores the transition from periodic behaviour to chaotic behaviour via intermittency when a system exhibits a mix of what appears to be regular behaviour and chaotic behaviour. State ... More


Hamiltonian Systems

Robert C. Hilborn

in Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers

Published in print:
2000
Published Online:
January 2010
ISBN:
9780198507239
eISBN:
9780191709340
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507239.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

When a system involves no dissipative mechanisms such as friction, we say that the system is conservative because its total energy is conserved and the behaviour is described by a time-independent ... More


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