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## Nonlinear dynamics and chaos in plasmas

*Abraham Bers*

### in Plasma Physics and Fusion Plasma Electrodynamics

- Published in print:
- 2016
- Published Online:
- November 2016
- ISBN:
- 9780199295784
- eISBN:
- 9780191749063
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199295784.003.0029
- Subject:
- Physics, Nuclear and Plasma Physics, Particle Physics / Astrophysics / Cosmology

This chapter continues the discussion of nonlinear dynamics in plasmas by exploring nonlinear particle interactions with coherent waves, including soliton wave-wave interactions (WWI) and chaotic ... More

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

*Robert C. Hilborn*

- Published in print:
- 2000
- Published Online:
- January 2010
- ISBN:
- 9780198507239
- eISBN:
- 9780191709340
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198507239.001.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This book introduces the full range of activity in the rapidly growing field of nonlinear dynamics. Using a step-by-step introduction to dynamics and geometry in state space as the central focus of ... More

## Collective dynamics in arrays of coupled nonlinear resonators

*R. Lifshitz, E. Kenig, and M.C. Cross*

### in Fluctuating Nonlinear Oscillators: From Nanomechanics to Quantum Superconducting Circuits

- Published in print:
- 2012
- Published Online:
- September 2012
- ISBN:
- 9780199691388
- eISBN:
- 9780191742255
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199691388.003.0011
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

The study of collective nonlinear dynamics of coupled mechanical resonators has been regaining attention in recent years thanks to rapid developments in the fields of microelectromechanical and ... More

## Observability of Chaotic Economic Dynamics in the Matsuyama Model

*Makoto Yano, Kenji Sato, and Yuichi Furukawa*

### 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/9780198073970.003.0006
- Subject:
- Economics and Finance, Microeconomics

The interaction between innovation and capital accumulation may give rise to a cyclical equilibrium path in an endogenous growth model. This presents a new mechanism through which two productive ... More

## Circuit quantum electrodynamics with a nonlinear resonator

*P. Bertet, F. R. Ong, M. Boissonneault, A. Bolduc, F. Mallet, A. C. Doherty, A. Blais, D. Vion, and D. Esteve*

### in Fluctuating Nonlinear Oscillators: From Nanomechanics to Quantum Superconducting Circuits

- Published in print:
- 2012
- Published Online:
- September 2012
- ISBN:
- 9780199691388
- eISBN:
- 9780191742255
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199691388.003.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter investigates the coupling of a two-level system to a nonlinear resonator, one of the simplest extensions to the well-known Jaynes–Cummings model. In the experiment, the two-level system ... More

## Quasilinear theory and weak turbulence

*Abraham Bers*

### in Plasma Physics and Fusion Plasma Electrodynamics

- Published in print:
- 2016
- Published Online:
- November 2016
- ISBN:
- 9780199295784
- eISBN:
- 9780191749063
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199295784.003.0028
- Subject:
- Physics, Nuclear and Plasma Physics, Particle Physics / Astrophysics / Cosmology

This chapter examines nonlinear dynamics in plasmas. It covers the important quasilinear (QL) theory of plasma dynamics, not only as it was originally intended to describe the evolution of linear ... More

## Quantum‐classical correspondence for a dc‐biased cavity resonator–Cooper‐pair transistor system

*M. P. Blencowe, A. D. Armour, and A. J. Rimberg*

### in Fluctuating Nonlinear Oscillators: From Nanomechanics to Quantum Superconducting Circuits

- Published in print:
- 2012
- Published Online:
- September 2012
- ISBN:
- 9780199691388
- eISBN:
- 9780191742255
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199691388.003.0002
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter investigates the quantum versus classical dynamics of a microwave cavity-coupled-Cooper-pair transistor (CPT) system, where a variable applied dc bias causes the system to tunably ... More

## Parametric oscillators based on superconducting circuits

*C. M. Wilson, T. Duty, and P. Delsing*

### in Fluctuating Nonlinear Oscillators: From Nanomechanics to Quantum Superconducting Circuits

- Published in print:
- 2012
- Published Online:
- September 2012
- ISBN:
- 9780199691388
- eISBN:
- 9780191742255
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199691388.003.0015
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

A parametric oscillator is an oscillating system in which one of the parameters, typically either the resonance frequency or damping, can be modulated by an external pump. Parametric oscillations can ... More

## Geopolitics

*Peter Turchin*

### in Historical Dynamics: Why States Rise and Fall

- Published in print:
- 2018
- Published Online:
- January 2019
- ISBN:
- 9780691180779
- eISBN:
- 9781400889310
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691180779.003.0002
- Subject:
- History, Historiography

This chapter discusses the theory of geopolitics, beginning with an overview of some elementary facts from nonlinear dynamics. In particular, it describes boundless growth, examples of which are ... More

## A Third Model of Causality: The Emergent, Nonlinear Approach

*Peter V. Rabins*

### in The Why of Things: Causality in Science, Medicine, and Life

- Published in print:
- 2013
- Published Online:
- November 2015
- ISBN:
- 9780231164726
- eISBN:
- 9780231535458
- Item type:
- chapter

- Publisher:
- Columbia University Press
- DOI:
- 10.7312/columbia/9780231164726.003.0005
- Subject:
- Philosophy, Philosophy of Science

This chapter describes the emergent model of causality, which takes into account phenomena that seem to combine aspects of the categorical model and the probabilistic model. It first considers MIT ... More

## Space-time evolution of linear instabilities—Absolute and convective

*Abraham Bers*

### in Plasma Physics and Fusion Plasma Electrodynamics

- Published in print:
- 2016
- Published Online:
- November 2016
- ISBN:
- 9780199295784
- eISBN:
- 9780191749063
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199295784.003.0018
- Subject:
- Physics, Nuclear and Plasma Physics, Particle Physics / Astrophysics / Cosmology

This chapter looks at the evolution of linear instabilities, which results from small-amplitude perturbations of equilibria. The study is critical in testing stability/instability of equilibria in ... More

## The Demographic Transition and Long-Term Development

*Matteo Cervellati and Uwe Sunde*

### in Demographic Change and Long-Run Development

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780262036627
- eISBN:
- 9780262341660
- Item type:
- chapter

- Publisher:
- The MIT Press
- DOI:
- 10.7551/mitpress/9780262036627.003.0001
- Subject:
- Economics and Finance, Economic History

This introductory chapter discusses the role of the demographic transition as a key turning point for economic development. It begins by describing the stylized pattern of the demographic transition ... More

## Entropy and Surrogate Testing

*Ray Huffaker, Marco Bittelli, and Rodolfo Rosa*

### in Nonlinear Time Series Analysis with R

- Published in print:
- 2017
- Published Online:
- February 2018
- ISBN:
- 9780198782933
- eISBN:
- 9780191826153
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198782933.003.0005
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Reconstructing real-world system dynamics from time series data on a single variable is challenging because real-world data often exhibit a highly volatile and irregular appearance potentially driven ... More

## Computational cosmology

*Romain Teyssier*

### in Post-Planck Cosmology: Lecture Notes of the Les Houches Summer School: Volume 100, July 2013

- Published in print:
- 2015
- Published Online:
- March 2015
- ISBN:
- 9780198728856
- eISBN:
- 9780191795794
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198728856.003.0011
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This chapter gives an introduction to the main concepts of computational cosmology. It describes the equations governing the nonlinear dynamics of self-gravitating fluids evolving in the expanding ... More

## Galileo Unbound: A Path Across Life, the Universe and Everything

*David D. Nolte*

- Published in print:
- 2018
- Published Online:
- August 2018
- ISBN:
- 9780198805847
- eISBN:
- 9780191843808
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198805847.001.0001
- Subject:
- Physics, History of Physics

Galileo Unbound: A Path Across Life, The Universe and Everything traces the journey that brought us from Galileo’s law of free fall to today’s geneticists measuring evolutionary drift, entangled ... More

## Exploring Robotic Minds: Actions, Symbols, and Consciousness as Self-Organizing Dynamic Phenomena

*Jun Tani*

- Published in print:
- 2016
- Published Online:
- November 2016
- ISBN:
- 9780190281069
- eISBN:
- 9780190281083
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780190281069.001.0001
- Subject:
- Psychology, Cognitive Models and Architectures

How do “minds” work? In Exploring Robotic Minds: Actions, Symbols, and Consciousness as Self-Organizing Dynamic Phenomena, Professor Jun Tani reviews key experiments within his own pioneering ... More

## Flight of the Swallows

*David D. Nolte*

### in Galileo Unbound: A Path Across Life, the Universe and Everything

- Published in print:
- 2018
- Published Online:
- August 2018
- ISBN:
- 9780198805847
- eISBN:
- 9780191843808
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198805847.003.0001
- Subject:
- Physics, History of Physics

The science of modern dynamics takes the simple idea of Galileo’s parabolic trajectory and generalizes it into abstract hyperspaces of multiple dimensions. This chapter introduces the new way that ... More

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