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Training stiff neural ordinary differential equations with implicit single-step methods

Colby Fronk, Linda Petzold

Chaos 34, 123147 (2024)

https://doi.org/10.1063/5.0243382

Published: December 2024

View articletitled, Training stiff neural ordinary differential equations with implicit single-step methods

Journal Articles

Decoding aging and cognitive functioning through spatiotemporal EEG patterns: Introducing spatiotemporal information-based similarity analysis

Wang Wan, Zhilin Gao, Zhongze Gu, Chung-Kang Peng, Xingran Cui

Chaos 34, 113124 (2024)

https://doi.org/10.1063/5.0203249

Published: November 2024

View articletitled, Decoding aging and cognitive functioning through spatiotemporal EEG patterns: Introducing spatiotemporal information-based similarity analysis

Journal Articles

Biochemical models of SIR and SIRS: Effects of bilinear incidence rate on infection-free and endemic states

Orhan Ozgur Aybar

Chaos 33, 093120 (2023)

https://doi.org/10.1063/5.0166337

Published: September 2023

View articletitled, Biochemical models of SIR and SIRS: Effects of bilinear incidence rate on infection-free and endemic states

Journal Articles

Ordinal analysis of lexical patterns

David Sánchez, Luciano Zunino, Juan De Gregorio, Raúl Toral, Claudio Mirasso

Chaos 33, 033121 (2023)

https://doi.org/10.1063/5.0139852

Published: March 2023

View articletitled, Ordinal analysis of lexical patterns

Journal Articles

The line rogue wave solutions of the nonlocal Davey–Stewartson I equation with PT symmetry based on the improved physics-informed neural network

Yabin Zhang, Haiyi Liu, Lei Wang, Wenrong Sun

Chaos 33, 013118 (2023)

https://doi.org/10.1063/5.0102741

Published: January 2023

View articletitled, The line rogue wave solutions of the nonlocal Davey–Stewartson I equation with PT symmetry based on the improved physics-informed neural network

Journal Articles

Statistical properties of the entropy from ordinal patterns

E. T. C. Chagas, A. C. Frery, J. Gambini, M. M. Lucini, H. S. Ramos, A. A. Rey

Chaos 32, 113118 (2022)

https://doi.org/10.1063/5.0118706

Published: November 2022

View articletitled, Statistical properties of the entropy from ordinal patterns

Journal Articles

Normal-mode oscillations for the circular and dipolar states of a filled hexagonal magnetic dipole cluster

Peter T. Haugen, Andrew D. P. Smith, Boyd F. Edwards

Chaos 32, 063108 (2022)

https://doi.org/10.1063/5.0076147

Published: June 2022

View articletitled, Normal-mode oscillations for the circular and dipolar states of a filled hexagonal magnetic dipole cluster

Journal Articles

Assessing observability of chaotic systems using Delay Differential Analysis

Christopher E. Gonzalez, Claudia Lainscsek, Terrence J. Sejnowski, Christophe Letellier

Chaos 30, 103113 (2020)

https://doi.org/10.1063/5.0015533

Published: October 2020

View articletitled, Assessing observability of chaotic systems using Delay Differential Analysis

Journal Articles

Traveling waves in nonlinear media with dispersion, dissipation, and reaction

Hüseyin Koçak

Chaos 30, 093143 (2020)

https://doi.org/10.1063/5.0014891

Published: September 2020

View articletitled, Traveling waves in nonlinear media with dispersion, dissipation, and reaction

Journal Articles

On learning Hamiltonian systems from data

Tom Bertalan, Felix Dietrich, Igor Mezić, Ioannis G. Kevrekidis

Chaos 29, 121107 (2019)

https://doi.org/10.1063/1.5128231

Published: December 2019

View articletitled, On learning Hamiltonian systems from data

Journal Articles

Attractor controllability of Boolean networks by flipping a subset of their nodes

Mohammad Reza Rafimanzelat, Fariba Bahrami

Chaos 28, 043120 (2018)

https://doi.org/10.1063/1.4999950

Published: April 2018

View articletitled, Attractor controllability of Boolean networks by flipping a subset of their nodes

Journal Articles

Vector bright soliton behaviors of the coupled higher-order nonlinear Schrödinger system in the birefringent or two-mode fiber

Lei Liu, Bo Tian, Xi-Yang Xie, Yue-Yang Guan

Chaos 27, 013108 (2017)

https://doi.org/10.1063/1.4972114

Published: January 2017

View articletitled, Vector bright soliton behaviors of the coupled higher-order nonlinear Schrödinger system in the birefringent or two-mode fiber

Journal Articles

Exact periodic cross-kink wave solutions for the new (2+1)-dimensional KdV equation in fluid flows and plasma physics

Jian-Guo Liu, Jian-Qiang Du, Zhi-Fang Zeng, Guo-Ping Ai

Chaos 26, 103114 (2016)

https://doi.org/10.1063/1.4966020

Published: October 2016

View articletitled, Exact periodic cross-kink wave solutions for the new (2+1)-dimensional KdV equation in fluid flows and plasma physics

Journal Articles

Basin structure of optimization based state and parameter estimation

Jan Schumann-Bischoff, Ulrich Parlitz, Henry D. I. Abarbanel, Mark Kostuk, Daniel Rey, Michael Eldridge, Stefan Luther

Chaos 25, 053108 (2015)

https://doi.org/10.1063/1.4920942

Published: May 2015

View articletitled, Basin structure of optimization based state and parameter estimation

Journal Articles

Controllability and observability of Boolean networks arising from biology

Rui Li, Meng Yang, Tianguang Chu

Chaos 25, 023104 (2015)

https://doi.org/10.1063/1.4907708

Published: February 2015

View articletitled, Controllability and observability of Boolean networks arising from biology

Journal Articles

On the structure of existence regions for sinks of the Hénon map

Zbigniew Galias, Warwick Tucker

Chaos 24, 013120 (2014)

https://doi.org/10.1063/1.4865110

Published: February 2014

View articletitled, On the structure of existence regions for sinks of the Hénon map

Journal Articles

Soliton behavior for a generalized mixed nonlinear Schrödinger model with N-fold Darboux transformation

Xing Lü

Chaos 23, 033137 (2013)

https://doi.org/10.1063/1.4821132

Published: September 2013

View articletitled, Soliton behavior for a generalized mixed nonlinear Schrödinger model with N-fold Darboux transformation

Journal Articles

Eigenstates and instabilities of chains with embedded defects

J. D'Ambroise, P. G. Kevrekidis, S. Lepri

Chaos 23, 023109 (2013)

https://doi.org/10.1063/1.4803523

Published: May 2013

View articletitled, Eigenstates and instabilities of chains with embedded defects

Journal Articles

Nonautonomous motion study on accelerated and decelerated solitons for the variable-coefficient Lenells-Fokas model

Xing Lü, Mingshu Peng

Chaos 23, 013122 (2013)

https://doi.org/10.1063/1.4790827

Published: February 2013

View articletitled, Nonautonomous motion study on accelerated and decelerated solitons for the variable-coefficient Lenells-Fokas model

Journal Articles

Integrability study on a generalized ( 2 + 1 ) -dimensional variable-coefficient Gardner model with symbolic computation

Xing Lü, Bo Tian, Hai-Qiang Zhang, Tao Xu, He Li

Chaos 20, 043125 (2010)

https://doi.org/10.1063/1.3494154

Published: December 2010

View articletitled, Integrability study on a generalized ( 2 + 1 ) -dimensional variable-coefficient Gardner model with symbolic computation

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Training stiff neural ordinary differential equations with implicit single-step methods

Decoding aging and cognitive functioning through spatiotemporal EEG patterns: Introducing spatiotemporal information-based similarity analysis

Biochemical models of SIR and SIRS: Effects of bilinear incidence rate on infection-free and endemic states

Ordinal analysis of lexical patterns

The line rogue wave solutions of the nonlocal Davey–Stewartson I equation with PT symmetry based on the improved physics-informed neural network

Statistical properties of the entropy from ordinal patterns

Normal-mode oscillations for the circular and dipolar states of a filled hexagonal magnetic dipole cluster

Assessing observability of chaotic systems using Delay Differential Analysis

Traveling waves in nonlinear media with dispersion, dissipation, and reaction

On learning Hamiltonian systems from data

Attractor controllability of Boolean networks by flipping a subset of their nodes

Vector bright soliton behaviors of the coupled higher-order nonlinear Schrödinger system in the birefringent or two-mode fiber

Exact periodic cross-kink wave solutions for the new (2+1)-dimensional KdV equation in fluid flows and plasma physics

Basin structure of optimization based state and parameter estimation

Controllability and observability of Boolean networks arising from biology

On the structure of existence regions for sinks of the Hénon map

Soliton behavior for a generalized mixed nonlinear Schrödinger model with N-fold Darboux transformation

Eigenstates and instabilities of chains with embedded defects

Nonautonomous motion study on accelerated and decelerated solitons for the variable-coefficient Lenells-Fokas model

Integrability study on a generalized ( 2 + 1 ) -dimensional variable-coefficient Gardner model with symbolic computation

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