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Journal Articles

Controlling Chaos in Rotating Systems Applying the OGY Control Method in Active Sliding Bearing Configurations

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Accepted Manuscript
Ioannis Polyzos, Athanasios Chasalevris
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam.
Paper No: CND-24-1260
https://doi.org/10.1115/1.4068698
Published Online: May 15, 2025
View Articletitled, Controlling Chaos in Rotating Systems Applying the OGY Control Method in Active Sliding Bearing Configurations
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Topics: Bearings, Chaos
Journal Articles

Linearized Fractional Adams Scheme for Fractional Allen–Cahn Equations

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Sunyoung Bu, Yonghyeon Jeon
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. June 2025, 20(6): 061001.
Paper No: CND-24-1148
https://doi.org/10.1115/1.4068263
Published Online: April 10, 2025
View Articletitled, Linearized Fractional Adams Scheme for Fractional Allen–Cahn Equations
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Topics: Chaos, Errors, Volterra equations
Journal Articles

Chaos Detection in Generalized ψ -Fractional Differential Systems

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N'Gbo N'Gbo, Changpin Li, Min Cai
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2025, 20(3): 031002.
Paper No: CND-24-1332
https://doi.org/10.1115/1.4067471
Published Online: January 3, 2025
View Articletitled, Chaos Detection in Generalized ψ -Fractional Differential Systems
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Topics: Chaos, Weight (Mass), Jacobian matrices, Approximation, Theorems (Mathematics), Eigenvalues
Journal Articles

A Comparison Between Four Chaotic Indicators in Systems With Hidden Attractors

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Jamal-Odysseas Maaita, Dimitrios Prousalis
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2025, 20(1): 011008.
Paper No: CND-24-1079
https://doi.org/10.1115/1.4067010
Published Online: December 9, 2024
View Articletitled, A Comparison Between Four Chaotic Indicators in Systems With Hidden Attractors
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Topics: Attractors, Chaos, Computation, Liquid crystalline elastomers, Dynamic systems
Journal Articles

Nonlinear Dynamics of a Magnetic Shape Memory Alloy Oscillator

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Jean M. Souza, Luciana Loureiro S. Monteiro, Marcelo A. Savi
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2024, 19(12): 121005.
Paper No: CND-23-1280
https://doi.org/10.1115/1.4066469
Published Online: October 3, 2024
View Articletitled, Nonlinear Dynamics of a Magnetic Shape Memory Alloy Oscillator
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Topics: Displacement, Magnetic fields, Nonlinear dynamics, Shape memory alloys, Computer simulation, Stress, Phase transitions, Chaos, Dynamic systems
Journal Articles

Bifurcation and Chaos Analysis of a Supersonic Slipper–Track System

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Tianjiao Dang, Zhen Liu, Marco Morandini, Linjie Ma, Pierangelo Masarati
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2024, 19(8): 081003.
Paper No: CND-24-1025
https://doi.org/10.1115/1.4065629
Published Online: June 14, 2024
View Articletitled, Bifurcation and Chaos Analysis of a Supersonic Slipper–Track System
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Topics: Bifurcation, Chaos, Clearances (Engineering), Dynamic response, Dynamic models, Vibration, Modeling, Design, Rockets, Kinematics
Journal Articles

The Presence of Chaos in a Viscoelastic Harmonically Forced Von Mises Truss

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Pritam Ghoshal, James M. Gibert, Anil K. Bajaj
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2024, 19(7): 071009.
Paper No: CND-23-1262
https://doi.org/10.1115/1.4064554
Published Online: May 14, 2024
View Articletitled, The Presence of Chaos in a Viscoelastic Harmonically Forced Von Mises Truss
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Topics: Bifurcation, Chaos, Damping, Dynamics (Mechanics), Oscillations, Trusses (Building), Trajectories (Physics), Viscoelasticity, Stiffness, Viscosity
Journal Articles

Chaotic Dynamics of a Duffing Oscillator Subjected to External and Nonlinear Parametric Excitations With Delayed Feedbacks

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Aijia Ding, Sengen Hu, Liangqiang Zhou
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2024, 19(4): 041003.
Paper No: CND-23-1255
https://doi.org/10.1115/1.4064723
Published Online: February 26, 2024
View Articletitled, Chaotic Dynamics of a Duffing Oscillator Subjected to External and Nonlinear Parametric Excitations With Delayed Feedbacks
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Topics: Chaos, Delays, Displacement, Excitation, Feedback, Dynamics (Mechanics), Computer simulation
Journal Articles

Dynamic Analysis and Machine Learning Prediction of a Nonuniform Slot Air Bearing System

Open Access
Cheng-Chi Wang, Chih-Jer Lin
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2023, 18(1): 011007.
Paper No: CND-22-1099
https://doi.org/10.1115/1.4056227
Published Online: November 23, 2022
View Articletitled, Dynamic Analysis and Machine Learning Prediction of a Nonuniform Slot Air Bearing System
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Topics: Air bearings, Bearings, Bifurcation, Rotors, Chaos, Pressure
Journal Articles

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

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Hang Yang, Alex Gorodetsky, Yuji Fujii, K. W. Wang
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2022, 17(5): 051012.
Paper No: CND-21-1307
https://doi.org/10.1115/1.4053559
Published Online: March 15, 2022
View Articletitled, A Polynomial-Chaos-Based Multifidelity Approach to the Efficient Uncertainty Quantification of Online Simulations of Automotive Propulsion Systems
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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

Free
Premjit Saha, Tarunraj Singh, Gary Dargush
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2021, 16(10): 101005.
Paper No: CND-21-1099
https://doi.org/10.1115/1.4051821
Published Online: August 11, 2021
View Articletitled, Uncertainty Quantification of Differential Algebraic Equations Using Polynomial Chaos
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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

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Changzhi Li, Biyu Chen, Aimin Liu, Huanhuan Tian
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2021, 16(7): 071001.
Paper No: CND-20-1476
https://doi.org/10.1115/1.4050954
Published Online: May 10, 2021
View Articletitled, Jacobi Stability of Simple Chaotic Systems With One Lyapunov Stable Equilibrium
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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

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Nataliya V. Stankevich, Natalya A. Shchegoleva, Igor R. Sataev, Alexander P. Kuznetsov
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2020, 15(11): 111001.
Paper No: CND-19-1480
https://doi.org/10.1115/1.4048025
Published Online: August 26, 2020
View Articletitled, Three-Dimensional Torus Breakdown and Chaos With Two Zero Lyapunov Exponents in Coupled Radio-Physical Generators
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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

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Haimei Chen, Yongjian Liu, Chunsheng Feng, Aimin Liu, Xiezhen Huang
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2020, 15(10): 101007.
Paper No: CND-20-1091
https://doi.org/10.1115/1.4047914
Published Online: August 7, 2020
View Articletitled, Dynamics at Infinity and Existence of Singularly Degenerate Heteroclinic Cycles in Maxwell–Bloch System
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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

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H. Shameem Banu, P. S. Sheik Uduman, K. Thamilmaran
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2019, 14(12): 121004.
Paper No: CND-19-1114
https://doi.org/10.1115/1.4044924
Published Online: October 7, 2019
View Articletitled, An Analytical and Experimental Study of SC-CNN-Based Simple Nonautonomous Chaotic Circuit
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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

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P. Megavarna Ezhilarasu, K. Suresh, K. Thamilmaran
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2019, 14(11): 111004.
Paper No: CND-19-1022
https://doi.org/10.1115/1.4044147
Published Online: September 23, 2019
View Articletitled, Observation of Strange Nonchaotic Dynamics in the Frame of State-Controlled Cellular Neural Network-Based Oscillator
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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

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I. Manimehan, M. Paul Asir, P. Philominathan
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2019, 14(5): 051001.
Paper No: CND-18-1394
https://doi.org/10.1115/1.4042692
Published Online: February 15, 2019
View Articletitled, Chaotic and Hyperchaotic Dynamics of a Modified Murali–Lakshmanan–Chua Circuit
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Topics: Attractors, Bifurcation, Chaos, Circuits, Dynamics (Mechanics), Dimensions
Journal Articles

Special Issue: Sensitivity Analysis and Uncertainty Quantification

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Radu Serban, Yan Wang, Kyung K. Choi, Paramsothy Jayakumar
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Guest Editorial
J. Comput. Nonlinear Dynam. February 2019, 14(2): 020301.
Paper No: CND-18-1542
https://doi.org/10.1115/1.4042262
Published Online: January 7, 2019
View Articletitled, Special Issue: Sensitivity Analysis and Uncertainty Quantification
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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

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Andrew S. Wixom, Gage S. Walters, Sheri L. Martinelli, David M. Williams
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2019, 14(2): 021010.
Paper No: CND-18-1243
https://doi.org/10.1115/1.4041772
Published Online: January 7, 2019
View Articletitled, Generalized Polynomial Chaos With Optimized Quadrature Applied to a Turbulent Boundary Layer Forced Plate
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Topics: Boundary layer turbulence, Chaos, Polynomials, Tensors, Uncertainty, Dimensions, Modeling, Noise (Sound), Statistics
Journal Articles

Nonintrusive Global Sensitivity Analysis for Linear Systems With Process Noise

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Souransu Nandi, Tarunraj Singh
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2019, 14(2): 021003.
Paper No: CND-18-1238
https://doi.org/10.1115/1.4041622
Published Online: January 7, 2019
View Articletitled, Nonintrusive Global Sensitivity Analysis for Linear Systems With Process Noise
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Topics: Chaos, Linear systems, Noise (Sound), Polynomials, Uncertainty, Sensitivity analysis, Stochastic systems