## 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