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Journal Articles

Learning of discrete models of variational PDEs from data

Christian Offen, Sina Ober-Blöbaum

Chaos 34, 013104 (2024)

https://doi.org/10.1063/5.0172287

Published: January 2024

View article titled, Learning of discrete models of variational PDEs from data

Journal Articles

Jacobian-free variational method for computing connecting orbits in nonlinear dynamical systems

Omid Ashtari, Tobias M. Schneider

Chaos 33, 073134 (2023)

https://doi.org/10.1063/5.0143923

Published: July 2023

View article titled, Jacobian-free variational method for computing connecting orbits in nonlinear dynamical systems

Journal Articles

Erratum: “Variational inference of the drift function for stochastic differential equations driven by Lévy processes” [Chaos 32, 061103 (2022)]

Min Dai, Jinqiao Duan, Jianyu Hu, Jianghui Wen, Xiangjun Wang

Chaos 32, 099902 (2022)

https://doi.org/10.1063/5.0121186

Published: September 2022

View article titled, Erratum: “Variational inference of the drift function for stochastic differential equations driven by Lévy processes” [Chaos 32, 061103 (2022)]

Journal Articles

Soliton evolution and associated sonic horizon formation dynamics in two-dimensional Bose–Einstein condensate with quintic-order nonlinearity

Ying Wang, Yujie Chen, Jun Dai, Li Zhao, Wen Wen, Wei Wang

Chaos 31, 023105 (2021)

https://doi.org/10.1063/5.0031741

Published: February 2021

View article titled, Soliton evolution and associated sonic horizon formation dynamics in two-dimensional Bose–Einstein condensate with quintic-order nonlinearity

Journal Articles

Exact stationary solutions of the parametrically driven and damped nonlinear Dirac equation

Niurka R. Quintero, Bernardo Sánchez-Rey

Chaos 29, 093129 (2019)

https://doi.org/10.1063/1.5115505

Published: September 2019

View article titled, Exact stationary solutions of the parametrically driven and damped nonlinear Dirac equation

Journal Articles

A variational method for analyzing limit cycle oscillations in stochastic hybrid systems

Paul C. Bressloff, James MacLaurin

Chaos 28, 063105 (2018)

https://doi.org/10.1063/1.5027077

Published: June 2018

View article titled, A variational method for analyzing limit cycle oscillations in stochastic hybrid systems

Journal Articles

Mathematical foundations of hybrid data assimilation from a synchronization perspective

Stephen G. Penny

Chaos 27, 126801 (2017)

https://doi.org/10.1063/1.5001819

Published: September 2017

View article titled, Mathematical foundations of hybrid data assimilation from a synchronization perspective

Journal Articles

Global variational approach to elliptic transport barriers in three dimensions

David Oettinger, Daniel Blazevski, George Haller

Chaos 26, 033114 (2016)

https://doi.org/10.1063/1.4944732

Published: March 2016

View article titled, Global variational approach to elliptic transport barriers in three dimensions

Journal Articles

Resonance phenomena in a time-dependent, three-dimensional model of an idealized eddy

I. I. Rypina, L. J. Pratt, P. Wang, T. M. Özgökmen, I. Mezic

Chaos 25, 087401 (2015)

https://doi.org/10.1063/1.4916086

Published: March 2015

View article titled, Resonance phenomena in a time-dependent, three-dimensional model of an idealized eddy

Journal Articles

Do Finite-Size Lyapunov Exponents detect coherent structures?

Daniel Karrasch, George Haller

Chaos 23, 043126 (2013)

https://doi.org/10.1063/1.4837075

Published: December 2013

View article titled, Do Finite-Size Lyapunov Exponents detect coherent structures?

Journal Articles

Symmetry breaking in linearly coupled Korteweg-de Vries systems

A. Espinosa-Cerón, B. A. Malomed, J. Fujioka, R. F. Rodríguez

Chaos 22, 033145 (2012)

https://doi.org/10.1063/1.4752244

Published: September 2012

View article titled, Symmetry breaking in linearly coupled Korteweg-de Vries systems

Journal Articles

Heteroclinic bifurcations and chaotic transport in the two-harmonic standard map

Héctor E. Lomelí, Renato Calleja

Chaos 16, 023117 (2006)

https://doi.org/10.1063/1.2179647

Published: May 2006

View article titled, Heteroclinic bifurcations and chaotic transport in the two-harmonic standard map

Journal Articles

Dispersion relation of the nonlinear Klein-Gordon equation through a variational method

Paolo Amore, Alfredo Raya

Chaos 16, 013131 (2006)

https://doi.org/10.1063/1.2176393

Published: March 2006

View article titled, Dispersion relation of the nonlinear Klein-Gordon equation through a variational method

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Topics

Learning of discrete models of variational PDEs from data

Jacobian-free variational method for computing connecting orbits in nonlinear dynamical systems

Erratum: “Variational inference of the drift function for stochastic differential equations driven by Lévy processes” [Chaos 32, 061103 (2022)]

Soliton evolution and associated sonic horizon formation dynamics in two-dimensional Bose–Einstein condensate with quintic-order nonlinearity

Exact stationary solutions of the parametrically driven and damped nonlinear Dirac equation

A variational method for analyzing limit cycle oscillations in stochastic hybrid systems

Mathematical foundations of hybrid data assimilation from a synchronization perspective

Global variational approach to elliptic transport barriers in three dimensions

Resonance phenomena in a time-dependent, three-dimensional model of an idealized eddy

Do Finite-Size Lyapunov Exponents detect coherent structures?

Symmetry breaking in linearly coupled Korteweg-de Vries systems

Heteroclinic bifurcations and chaotic transport in the two-harmonic standard map

Dispersion relation of the nonlinear Klein-Gordon equation through a variational method

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