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Journal Articles

A Polynomial-Chaos-Based Multifidelity Approach to the Efficient Uncertainty Quantification of Online Simulations of Automotive Propulsion Systems

Hang Yang, Alex Gorodetsky, Yuji Fujii, K. W. Wang

J. Comput. Nonlinear Dynam. May 2022, 17(5): 051012.

Paper No: CND-21-1307

DOI: https://doi.org/10.1115/1.4053559

Published Online: March 15, 2022

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Topics: Chaos, Polynomials, Propulsion systems, Simulation, Torque, Uncertainty quantification, Engineering simulation, Uncertainty, Vehicles

Journal Articles

Uncertainty Quantification of Differential Algebraic Equations Using Polynomial Chaos

Premjit Saha, Tarunraj Singh, Gary Dargush

J. Comput. Nonlinear Dynam. October 2021, 16(10): 101005.

Paper No: CND-21-1099

DOI: https://doi.org/10.1115/1.4051821

Published Online: August 11, 2021

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Topics: Chaos, Differential algebraic equations, Polynomials, Pendulums, Algebra, Circuits, Uncertainty quantification

Journal Articles

Jacobi Stability of Simple Chaotic Systems With One Lyapunov Stable Equilibrium

Changzhi Li, Biyu Chen, Aimin Liu, Huanhuan Tian

J. Comput. Nonlinear Dynam. July 2021, 16(7): 071001.

Paper No: CND-20-1476

DOI: https://doi.org/10.1115/1.4050954

Published Online: May 10, 2021

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Topics: Equilibrium (Physics), Stability, Chaos

Journal Articles

Three-Dimensional Torus Breakdown and Chaos With Two Zero Lyapunov Exponents in Coupled Radio-Physical Generators

Nataliya V. Stankevich, Natalya A. Shchegoleva, Igor R. Sataev, Alexander P. Kuznetsov

J. Comput. Nonlinear Dynam. November 2020, 15(11): 111001.

Paper No: CND-19-1480

DOI: https://doi.org/10.1115/1.4048025

Published Online: August 26, 2020

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Topics: Bifurcation, Chaos, Generators, Oscillations, Dynamics (Mechanics)

Journal Articles

Dynamics at Infinity and Existence of Singularly Degenerate Heteroclinic Cycles in Maxwell–Bloch System

Haimei Chen, Yongjian Liu, Chunsheng Feng, Aimin Liu, Xiezhen Huang

J. Comput. Nonlinear Dynam. October 2020, 15(10): 101007.

Paper No: CND-20-1091

DOI: https://doi.org/10.1115/1.4047914

Published Online: August 7, 2020

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Topics: Cycles, Dynamics (Mechanics), Chaos, Flow (Dynamics)

Journal Articles

An Analytical and Experimental Study of SC-CNN-Based Simple Nonautonomous Chaotic Circuit

H. Shameem Banu, P. S. Sheik Uduman, K. Thamilmaran

J. Comput. Nonlinear Dynam. December 2019, 14(12): 121004.

Paper No: CND-19-1114

DOI: https://doi.org/10.1115/1.4044924

Published Online: October 7, 2019

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Topics: Chaos, Circuits, Stability, Dynamics (Mechanics), Attractors

Journal Articles

Observation of Strange Nonchaotic Dynamics in the Frame of State-Controlled Cellular Neural Network-Based Oscillator

P. Megavarna Ezhilarasu, K. Suresh, K. Thamilmaran

J. Comput. Nonlinear Dynam. November 2019, 14(11): 111004.

Paper No: CND-19-1022

DOI: https://doi.org/10.1115/1.4044147

Published Online: September 23, 2019

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Topics: Approximation, Attractors, Chaos, Circuits, Dynamics (Mechanics), Hardware, Bifurcation, Poincaré maps

Journal Articles

Chaotic and Hyperchaotic Dynamics of a Modified Murali–Lakshmanan–Chua Circuit

I. Manimehan, M. Paul Asir, P. Philominathan

J. Comput. Nonlinear Dynam. May 2019, 14(5): 051001.

Paper No: CND-18-1394

DOI: https://doi.org/10.1115/1.4042692

Published Online: February 15, 2019

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Topics: Attractors, Bifurcation, Chaos, Circuits, Dynamics (Mechanics), Dimensions

Journal Articles

Special Issue: Sensitivity Analysis and Uncertainty Quantification

Radu Serban, Yan Wang, Kyung K. Choi, Paramsothy Jayakumar

J. Comput. Nonlinear Dynam. February 2019, 14(2): 020301.

Paper No: CND-18-1542

DOI: https://doi.org/10.1115/1.4042262

Published Online: January 7, 2019

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Topics: Optimization, Sensitivity analysis, Uncertainty, Uncertainty quantification, Chaos, Polynomials, Simulation, Design, Modeling

Journal Articles

Generalized Polynomial Chaos With Optimized Quadrature Applied to a Turbulent Boundary Layer Forced Plate

Andrew S. Wixom, Gage S. Walters, Sheri L. Martinelli, David M. Williams

J. Comput. Nonlinear Dynam. February 2019, 14(2): 021010.

Paper No: CND-18-1243

DOI: https://doi.org/10.1115/1.4041772

Published Online: January 7, 2019

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Topics: Boundary layer turbulence, Chaos, Polynomials, Tensors, Uncertainty, Dimensions, Modeling, Noise (Sound), Statistics as topic

Journal Articles

Nonintrusive Global Sensitivity Analysis for Linear Systems With Process Noise

Souransu Nandi, Tarunraj Singh

J. Comput. Nonlinear Dynam. February 2019, 14(2): 021003.

Paper No: CND-18-1238

DOI: https://doi.org/10.1115/1.4041622

Published Online: January 7, 2019

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Topics: Chaos, Linear systems, Noise (Sound), Polynomials, Uncertainty, Sensitivity analysis, Stochastic systems

Journal Articles

Uncertainty Quantification Using Generalized Polynomial Chaos Expansion for Nonlinear Dynamical Systems With Mixed State and Parameter Uncertainties

Rajnish Bhusal, Kamesh Subbarao

J. Comput. Nonlinear Dynam. February 2019, 14(2): 021011.

Paper No: CND-18-1245

DOI: https://doi.org/10.1115/1.4041473

Published Online: January 7, 2019

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Topics: Chaos, Polynomials, Uncertainty, Statistical distributions, Nonlinear dynamical systems

Journal Articles

Multiple Dynamic Response Patterns of Flexible Multibody Systems With Random Uncertain Parameters

Zhe Wang, Qiang Tian, Haiyan Hu

J. Comput. Nonlinear Dynam. February 2019, 14(2): 021008.

Paper No: CND-18-1231

DOI: https://doi.org/10.1115/1.4041580

Published Online: January 7, 2019

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Topics: Computation, Dynamic response, Dynamics (Mechanics), Multibody systems, Polynomials, Algorithms, Robots, Chaos, Displacement

Journal Articles

Control of Continuous Time Chaotic Systems With Unknown Dynamics and Limitation on State Measurement

Hojjat Kaveh, Hassan Salarieh

J. Comput. Nonlinear Dynam. January 2019, 14(1): 011007.

Paper No: CND-18-1096

DOI: https://doi.org/10.1115/1.4041968

Published Online: November 28, 2018

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Topics: Attractors, Chaos, Dynamics (Mechanics), Theorems (Mathematics), Time series, Feedback

Journal Articles

A Novel Four-Dimensional No-Equilibrium Hyper-Chaotic System With Grid Multiwing Hyper-Chaotic Hidden Attractors

Sen Zhang, Yi Cheng Zeng, Zhi Jun Li

J. Comput. Nonlinear Dynam. September 2018, 13(9): 090908.

Paper No: CND-17-1267

DOI: https://doi.org/10.1115/1.4039980

Published Online: July 26, 2018

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Topics: Attractors, Equilibrium (Physics), Wings, Circuits, Spectra (Spectroscopy), Chaos

Journal Articles

Subharmonic Bifurcations and Chaotic Dynamics for a Class of Ship Power System

Liangqiang Zhou, Fangqi Chen

J. Comput. Nonlinear Dynam. March 2018, 13(3): 031011.

Paper No: CND-17-1265

DOI: https://doi.org/10.1115/1.4039060

Published Online: February 1, 2018

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Topics: Bifurcation, Chaos, Dynamics (Mechanics), Ships, Power systems (Machinery)

Journal Articles

Transient and Stable Chaos in Dipteran Flight Inspired Flapping Motion

Chandan Bose, Vikas Reddy, Sayan Gupta, Sunetra Sarkar

J. Comput. Nonlinear Dynam. February 2018, 13(2): 021014.

Paper No: CND-17-1359

DOI: https://doi.org/10.1115/1.4038447

Published Online: December 14, 2017

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Topics: Attractors, Bifurcation, Chaos, Dynamics (Mechanics), Flight, Flow (Dynamics), Fluid structure interaction, Transients (Dynamics), Motors, Wings

Journal Articles

Enhanced Polynomial Chaos-Based Extended Kalman Filter Technique for Parameter Estimation

Jeremy Kolansky, Corina Sandu

J. Comput. Nonlinear Dynam. February 2018, 13(2): 021012.

Paper No: CND-14-1146

DOI: https://doi.org/10.1115/1.4031194

Published Online: November 29, 2017

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Topics: Chaos, Filters, Kalman filters, Noise (Sound), Parameter estimation, Polynomials, Sensors, Vehicles, Errors

Journal Articles

Chaotic Behavior and Feedback Control of Magnetorheological Suspension System With Fractional-Order Derivative

Chengyuan Zhang, Jian Xiao

J. Comput. Nonlinear Dynam. February 2018, 13(2): 021007.

Paper No: CND-17-1250

DOI: https://doi.org/10.1115/1.4037931

Published Online: November 1, 2017

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Topics: Suspension systems, Feedback, Vibration, Chaos

Journal Articles

Feedback Control of Grazing-Induced Chaos in the Single-Degree-of-Freedom Impact Oscillator

Yongkang Shen, Shan Yin, Guilin Wen, Huidong Xu

J. Comput. Nonlinear Dynam. January 2018, 13(1): 011012.

Paper No: CND-16-1619

DOI: https://doi.org/10.1115/1.4037924

Published Online: October 31, 2017

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Topics: Bifurcation, Chaos, Feedback, Computer simulation, Stability

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Journal citation

NARROW

A Polynomial-Chaos-Based Multifidelity Approach to the Efficient Uncertainty Quantification of Online Simulations of Automotive Propulsion Systems

Uncertainty Quantification of Differential Algebraic Equations Using Polynomial Chaos

Jacobi Stability of Simple Chaotic Systems With One Lyapunov Stable Equilibrium

Three-Dimensional Torus Breakdown and Chaos With Two Zero Lyapunov Exponents in Coupled Radio-Physical Generators

Dynamics at Infinity and Existence of Singularly Degenerate Heteroclinic Cycles in Maxwell–Bloch System

An Analytical and Experimental Study of SC-CNN-Based Simple Nonautonomous Chaotic Circuit

Observation of Strange Nonchaotic Dynamics in the Frame of State-Controlled Cellular Neural Network-Based Oscillator

Chaotic and Hyperchaotic Dynamics of a Modified Murali–Lakshmanan–Chua Circuit

Special Issue: Sensitivity Analysis and Uncertainty Quantification

Generalized Polynomial Chaos With Optimized Quadrature Applied to a Turbulent Boundary Layer Forced Plate

Nonintrusive Global Sensitivity Analysis for Linear Systems With Process Noise

Uncertainty Quantification Using Generalized Polynomial Chaos Expansion for Nonlinear Dynamical Systems With Mixed State and Parameter Uncertainties

Multiple Dynamic Response Patterns of Flexible Multibody Systems With Random Uncertain Parameters

Control of Continuous Time Chaotic Systems With Unknown Dynamics and Limitation on State Measurement

A Novel Four-Dimensional No-Equilibrium Hyper-Chaotic System With Grid Multiwing Hyper-Chaotic Hidden Attractors

Subharmonic Bifurcations and Chaotic Dynamics for a Class of Ship Power System

Transient and Stable Chaos in Dipteran Flight Inspired Flapping Motion

Enhanced Polynomial Chaos-Based Extended Kalman Filter Technique for Parameter Estimation

Chaotic Behavior and Feedback Control of Magnetorheological Suspension System With Fractional-Order Derivative

Feedback Control of Grazing-Induced Chaos in the Single-Degree-of-Freedom Impact Oscillator

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