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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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