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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


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


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


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


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


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