## 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

## 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

## 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