A method for Hamiltonian truncation: a four-wave example

Viscondi, Thiago F.; Caldas, Iberê L.; Morrison, Philip J.

doi:10.1088/1751-8113/49/16/165501

Title: A method for Hamiltonian truncation: a four-wave example

Authors:: Viscondi, Thiago F.; Caldas, Iberê L.; Morrison, Philip J.

Publication Date:: Thu Mar 10 00:00:00 EST 2016

Sponsoring Org.:: USDOE Office of Science (SC), Fusion Energy Sciences (FES)

OSTI Identifier:: 1241441

Grant/Contract Number:: FG02-04ER-54742

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Journal of Physics. A, Mathematical and Theoretical

Additional Journal Information:: Journal Name: Journal of Physics. A, Mathematical and Theoretical Journal Volume: 49 Journal Issue: 16; Journal ID: ISSN 1751-8113

Publisher:: IOP Publishing

Country of Publication:: United Kingdom

Language:: English

Citation Formats


                    Viscondi, Thiago F., Caldas, Iberê L., and Morrison, Philip J. A method for Hamiltonian truncation: a four-wave example.  United Kingdom: N. p., 2016. 
Web.  doi:10.1088/1751-8113/49/16/165501.

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                    Viscondi, Thiago F., Caldas, Iberê L., & Morrison, Philip J. A method for Hamiltonian truncation: a four-wave example.  United Kingdom.  https://doi.org/10.1088/1751-8113/49/16/165501

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                    Viscondi, Thiago F., Caldas, Iberê L., and Morrison, Philip J. Thu .  
"A method for Hamiltonian truncation: a four-wave example".  United Kingdom.  https://doi.org/10.1088/1751-8113/49/16/165501.

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@article{osti_1241441,

  title        = {A method for Hamiltonian truncation: a four-wave example},

  author       = {Viscondi, Thiago F. and Caldas, Iberê L. and Morrison, Philip J.},

  abstractNote = {},

  doi          = {10.1088/1751-8113/49/16/165501},

  journal      = {Journal of Physics. A, Mathematical and Theoretical},

  number       = 16,

  volume       = 49,

  place        = {United Kingdom},

  year         = {Thu Mar 10 00:00:00 EST 2016},

  month        = {Thu Mar 10 00:00:00 EST 2016}

}

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Works referenced in this record:

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Hamiltonian formulation of the modified Hasegawa–Mima equation
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Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics
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Nonlinear instability and chaos in plasma wave–wave interactions. II. Numerical methods and results
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Hamiltonian and non-Hamiltonian models for water waves
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Tassi, E.; Chandre, C.; Morrison, P. J.
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Modulation instability: The beginning
journal, March 2009

Zakharov, V. E.; Ostrovsky, L. A.
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DOI: 10.1016/j.physd.2008.12.002

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Title: A method for Hamiltonian truncation: a four-wave example

Citation Formats

Integrability of double three-wave interaction journal, January 1983

Dynamics of the non-linear interaction of magnetohydrodynamic waves journal, February 1973

Four-wave interactions in plasmas and other nonlinear media journal, March 1982

Semiclassical propagator for SU( n ) coherent states journal, May 2011

The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws journal, January 1991

Initial value representation for the SU( n ) semiclassical propagator journal, June 2011

Bifurcations and Strange Behavior in Instability Saturation by Nonlinear Mode Coupling journal, February 1980

Hamiltonian gyrokinetic Vlasov–Maxwell system journal, September 2015

Hamiltonian perturbation theory and water waves book, January 1984

Classification and Casimir invariants of Lie–Poisson brackets journal, February 2000

Errata and addenda: ``The local structure of Poisson manifolds'' journal, January 1985

Hamiltonian and action principle formulations of plasma physics journal, May 2005

Controlling chaos in nonlinear three-wave coupling journal, July 1996

Nonlinear instability and chaos in plasma wave–wave interactions. I. Introduction journal, June 1995

Two-dimensional turbulence journal, May 1980

Recurrence plots for the analysis of complex systems journal, January 2007

Transition to chaos in the conservative four-wave parametric interactions journal, December 1997

Hamiltonian formulation and analysis of a collisionless fluid reconnection model journal, June 2008

Interaction between an Electromagnetic Wave, Plasma Waves, and an Ion Acoustic Wave journal, January 1968

Four-Wave Interaction of Positive and Negative Energy Waves in Plasmas journal, January 1980

Hamiltonian formulation of the modified Hasegawa–Mima equation journal, February 2014

Poisson Brackets (An Unpedagogical Lecture) journal, April 1964

Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics journal, September 1980

Poisson manifolds and the schouten bracket journal, January 1988

Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics. journal, February 1982

Remarkable connections between extended magnetohydrodynamics models journal, July 2015

Poisson brackets for fluids and plasmas conference, January 1982

Nonlinear instability and chaos in plasma wave–wave interactions. II. Numerical methods and results journal, November 1995

Hamiltonian and non-Hamiltonian models for water waves book, January 1984

Generalizations of Arakawa's Jacobian journal, August 1989

The Maxwell-Vlasov equations as a continuous hamiltonian system journal, December 1980

Hamiltonian description of the ideal fluid journal, April 1998

Pseudo-three-dimensional turbulence in magnetized nonuniform plasma journal, January 1978

Study of conservation and recurrence of Runge–Kutta discontinuous Galerkin schemes for Vlasov–Poisson systems journal, January 2013

Spectral transfers and zonal flow dynamics in the generalized Charney-Hasegawa-Mima model journal, December 2005

Computational design for long-term numerical integration of the equations of fluid motion: Two-dimensional incompressible flow. Part I journal, August 1966

The nonlinear dynamics of the modulational instability of drift waves and the associated zonal flows journal, December 2001

Modulational instability of Rossby and drift waves and generation of zonal jets journal, May 2010

Zonal flow Generation by Modulational Instability conference, January 2012

Hamiltonian chaos in two coupled three-wave parametric interactions with quadratic nonlinearity journal, December 1996

The local structure of Poisson manifolds journal, January 1983

Beyond the modulational approximation in the wave triplet interaction journal, October 2015

Poisson bracket for the Vlasov equation on a symplectic leaf journal, June 1991

Transition to Collisionless Ion-Temperature-Gradient-Driven Plasma Turbulence: A Dynamical Systems Approach journal, June 2005

Hamiltonian derivation of the Charney–Hasegawa–Mima equation journal, August 2009

Modulation instability: The beginning journal, March 2009

Integrability of double three-wave interaction
journal, January 1983

Dynamics of the non-linear interaction of magnetohydrodynamic waves
journal, February 1973

Four-wave interactions in plasmas and other nonlinear media
journal, March 1982

Semiclassical propagator for SU( n ) coherent states
journal, May 2011

The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
journal, January 1991

Initial value representation for the SU( n ) semiclassical propagator
journal, June 2011

Bifurcations and Strange Behavior in Instability Saturation by Nonlinear Mode Coupling
journal, February 1980

Hamiltonian gyrokinetic Vlasov–Maxwell system
journal, September 2015

Hamiltonian perturbation theory and water waves
book, January 1984

Classification and Casimir invariants of Lie–Poisson brackets
journal, February 2000

Errata and addenda: ``The local structure of Poisson manifolds''
journal, January 1985

Hamiltonian and action principle formulations of plasma physics
journal, May 2005

Controlling chaos in nonlinear three-wave coupling
journal, July 1996

Nonlinear instability and chaos in plasma wave–wave interactions. I. Introduction
journal, June 1995

Two-dimensional turbulence
journal, May 1980

Recurrence plots for the analysis of complex systems
journal, January 2007

Transition to chaos in the conservative four-wave parametric interactions
journal, December 1997

Hamiltonian formulation and analysis of a collisionless fluid reconnection model
journal, June 2008

Interaction between an Electromagnetic Wave, Plasma Waves, and an Ion Acoustic Wave
journal, January 1968

Four-Wave Interaction of Positive and Negative Energy Waves in Plasmas
journal, January 1980

Hamiltonian formulation of the modified Hasegawa–Mima equation
journal, February 2014

Poisson Brackets (An Unpedagogical Lecture)
journal, April 1964

Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics
journal, September 1980

Poisson manifolds and the schouten bracket
journal, January 1988

Noncanonical Hamiltonian Density Formulation of Hydrodynamics and Ideal Magnetohydrodynamics.
journal, February 1982

Remarkable connections between extended magnetohydrodynamics models
journal, July 2015

Poisson brackets for fluids and plasmas
conference, January 1982

Nonlinear instability and chaos in plasma wave–wave interactions. II. Numerical methods and results
journal, November 1995

Hamiltonian and non-Hamiltonian models for water waves
book, January 1984

Generalizations of Arakawa's Jacobian
journal, August 1989

The Maxwell-Vlasov equations as a continuous hamiltonian system
journal, December 1980

Hamiltonian description of the ideal fluid
journal, April 1998

Pseudo-three-dimensional turbulence in magnetized nonuniform plasma
journal, January 1978

Study of conservation and recurrence of Runge–Kutta discontinuous Galerkin schemes for Vlasov–Poisson systems
journal, January 2013

Spectral transfers and zonal flow dynamics in the generalized Charney-Hasegawa-Mima model
journal, December 2005

Computational design for long-term numerical integration of the equations of fluid motion: Two-dimensional incompressible flow. Part I
journal, August 1966

The nonlinear dynamics of the modulational instability of drift waves and the associated zonal flows
journal, December 2001

Modulational instability of Rossby and drift waves and generation of zonal jets
journal, May 2010

Zonal flow Generation by Modulational Instability
conference, January 2012

Hamiltonian chaos in two coupled three-wave parametric interactions with quadratic nonlinearity
journal, December 1996

The local structure of Poisson manifolds
journal, January 1983

Beyond the modulational approximation in the wave triplet interaction
journal, October 2015

Poisson bracket for the Vlasov equation on a symplectic leaf
journal, June 1991

Transition to Collisionless Ion-Temperature-Gradient-Driven Plasma Turbulence: A Dynamical Systems Approach
journal, June 2005

Hamiltonian derivation of the Charney–Hasegawa–Mima equation
journal, August 2009

Modulation instability: The beginning
journal, March 2009