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Journal Articles

An Implicit Function Method for Computing the Stability Boundaries of Hill's Equation

Available to Purchase
Karthik Chikmagalur, Bassam Bamieh
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. June 2025, 20(6): 061007.
Paper No: CND-24-1215
https://doi.org/10.1115/1.4068374
Published Online: April 28, 2025
View Articletitled, An Implicit Function Method for Computing the Stability Boundaries of Hill's Equation
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Topics: Stability, Damping
Journal Articles

Effects of High Frequency Horizontal Base Excitation on A Bistable System

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Accepted Manuscript
Pritam Ghoshal, James Gibert, Anil K. Bajaj
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam.
Paper No: CND-24-1275
https://doi.org/10.1115/1.4068322
Published Online: April 2, 2025
View Articletitled, Effects of High Frequency Horizontal Base Excitation on A Bistable System
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Topics: Bistability, Excitation, Equilibrium (Physics), Human failure events, Stability, Computer simulation, Dynamic systems, Dynamics (Mechanics), Testing, Wells
Journal Articles

Nonlinearity Measure for Nonlinear Dynamic Systems Using a Multimodel Framework

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Mahdi Ahmadi
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2025, 20(4): 041006.
Paper No: CND-24-1270
https://doi.org/10.1115/1.4067913
Published Online: March 5, 2025
View Articletitled, Nonlinearity Measure for Nonlinear Dynamic Systems Using a Multimodel Framework
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Topics: Control equipment, Nonlinear dynamical systems, Nonlinear systems, Stability, Linear systems
Journal Articles

Bifurcation Analysis and Control of Traffic Flow Model Considering the Impact of Smart Devices for Drivers

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Wenhuan Ai, Jingming Zeng, Fu Jianli, Zhengqing Lei
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2025, 20(4): 041005.
Paper No: CND-24-1069
https://doi.org/10.1115/1.4067887
Published Online: March 5, 2025
View Articletitled, Bifurcation Analysis and Control of Traffic Flow Model Considering the Impact of Smart Devices for Drivers
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Topics: Bifurcation, Flow (Dynamics), Traffic, Stability, Equilibrium (Physics), Vehicles
Journal Articles

Optimization Algorithm-Based Fault-Tolerant Resilient Control for Helicopter System: The Finite-Time Case

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T. Satheesh, T. M. Anisha, R. Sakthivel, V. T. Elayabharath, Y. Ren
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2025, 20(2): 021007.
Paper No: CND-24-1141
https://doi.org/10.1115/1.4067470
Published Online: January 3, 2025
View Articletitled, Optimization Algorithm-Based Fault-Tolerant Resilient Control for Helicopter System: The Finite-Time Case
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Topics: Actuators, Algorithms, Control equipment, Fluctuations (Physics), Optimization, Particle swarm optimization, Stability, Transients (Dynamics), Failure, Simulation
Journal Articles

Bifurcation Analysis in Dynamical Systems Through Integration of Machine Learning and Dynamical Systems Theory

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Nami Mogharabin, Amin Ghadami
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2025, 20(2): 021006.
Paper No: CND-24-1107
https://doi.org/10.1115/1.4067297
Published Online: December 20, 2024
View Articletitled, Bifurcation Analysis in Dynamical Systems Through Integration of Machine Learning and Dynamical Systems Theory
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Topics: Bifurcation, Dynamic systems, Manifolds, Stability, Dynamics (Mechanics)
Journal Articles

A Fast Chebyshev Collocation Method for Stability Analysis of a Robotic Machining System With Time Delay

Open Access
Chenglin Li, Qingpeng Luo, Guang Meng, Xianbo Liu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2025, 20(1): 011006.
Paper No: CND-24-1033
https://doi.org/10.1115/1.4067062
Published Online: November 21, 2024
View Articletitled, A Fast Chebyshev Collocation Method for Stability Analysis of a Robotic Machining System With Time Delay
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Topics: Algorithms, Computation, Cutting, Delays, Dimensions, Machining, Milling, Robotics, Stability, Delay differential equations
Journal Articles

The Phase Transition of Covariant Lyapunov Vector Precisely Locates a Stability Reversal of Quasi-Periodic Response

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Limin Cao, Jike Liu, Yanmao Chen
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. January 2025, 20(1): 014502.
Paper No: CND-24-1085
https://doi.org/10.1115/1.4066772
Published Online: October 22, 2024
View Articletitled, The Phase Transition of Covariant Lyapunov Vector Precisely Locates a Stability Reversal of Quasi-Periodic Response
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Topics: Phase transitions, Quadratic programming, Stability
Journal Articles

Numerical and Analytical Study for the Stochastic Spatial Dependent Prey–Predator Dynamical System

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Muhammad Zafarullah Baber, Muhammad Waqas Yasin, Changjin Xu, Nauman Ahmed, Muhammad Sajid Iqbal
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2024, 19(10): 101003.
Paper No: CND-24-1020
https://doi.org/10.1115/1.4066038
Published Online: August 20, 2024
View Articletitled, Numerical and Analytical Study for the Stochastic Spatial Dependent Prey–Predator Dynamical System
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Topics: Stability, Waves, Simulation, Dynamic systems, Equilibrium (Physics)
Journal Articles

High-Order Approximation to Caputo Derivative on Graded Mesh and Time-Fractional Diffusion Equation for Nonsmooth Solutions

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Shweta Kumari, Abhishek Kumar Singh, Vaibhav Mehandiratta, Mani Mehra
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2024, 19(10): 101001.
Paper No: CND-23-1297
https://doi.org/10.1115/1.4066023
Published Online: August 20, 2024
View Articletitled, High-Order Approximation to Caputo Derivative on Graded Mesh and Time-Fractional Diffusion Equation for Nonsmooth Solutions
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Topics: Approximation, Diffusion (Physics), Errors, Stability, Interpolation
Journal Articles

A Posteriori Error Analysis of Defect Correction Method for Singular Perturbation Problems With Discontinuous Coefficient and Point Source

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Aditya Kaushik, Shivani Jain
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2024, 19(9): 091005.
Paper No: CND-24-1044
https://doi.org/10.1115/1.4065900
Published Online: July 25, 2024
View Articletitled, A Posteriori Error Analysis of Defect Correction Method for Singular Perturbation Problems With Discontinuous Coefficient and Point Source
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Topics: Error analysis, Errors, Stability, Numerical analysis, Boundary layers
Journal Articles

Full-Dimensional Proportional-Derivative Control Technique for Turing Pattern and Bifurcation of Delayed Reaction-Diffusion Bidirectional Ring Neural Networks

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Xiangyu Du, Min Xiao, Yifeng Luan, Jie Ding, Leszek Rutkowski
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2024, 19(9): 091002.
Paper No: CND-23-1224
https://doi.org/10.1115/1.4065881
Published Online: July 13, 2024
View Articletitled, Full-Dimensional Proportional-Derivative Control Technique for Turing Pattern and Bifurcation of Delayed Reaction-Diffusion Bidirectional Ring Neural Networks
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Topics: Artificial neural networks, Bifurcation, Control equipment, Delays, Diffusion (Physics), Stability
Journal Articles

Exponential Stability of Impulsive Switched Nonlinear Systems With Partial Unmeasurable States on Time Scales

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Liangliang Li, Chengfeng Yang, Heng Li, Wenlin Jiang
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2024, 19(8): 081006.
Paper No: CND-22-1259
https://doi.org/10.1115/1.4065783
Published Online: July 3, 2024
View Articletitled, Exponential Stability of Impulsive Switched Nonlinear Systems With Partial Unmeasurable States on Time Scales
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Topics: Nonlinear systems, Stability, Dynamic systems
Journal Articles

Influence of Unbalance and Differential Pressure on the Stability of Vertical Rotor-Seal System

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Shogo Kimura, Tsuyoshi Inoue, Hiroo Taura, Akira Heya
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2024, 19(7): 071004.
Paper No: CND-23-1294
https://doi.org/10.1115/1.4064725
Published Online: May 13, 2024
View Articletitled, Influence of Unbalance and Differential Pressure on the Stability of Vertical Rotor-Seal System
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Topics: Pressure, Rotors, Stability, Fluids, Fluid structure interaction
Journal Articles

Direct Current Motor Velocity Control With Integral Retarded Controller Under Unintentional Delay

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Haonan Fan, Adrián Ramírez, Sabine Mondié, Rifat Sipahi
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. July 2024, 19(7): 074501.
Paper No: CND-23-1309
https://doi.org/10.1115/1.4065014
Published Online: May 13, 2024
View Articletitled, Direct Current Motor Velocity Control With Integral Retarded Controller Under Unintentional Delay
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Topics: Control equipment, Delays, Engines, Motors, Simulation, Stability, Design
Journal Articles

Quantized Proportional-Integral Tracking Control for Two-Stage Chemical Reactor Systems

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R. Sakthivel, S. Priyanka, N. Shobana, S. Mohanapriya
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2024, 19(5): 051006.
Paper No: CND-23-1078
https://doi.org/10.1115/1.4065009
Published Online: March 26, 2024
View Articletitled, Quantized Proportional-Integral Tracking Control for Two-Stage Chemical Reactor Systems
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Topics: Control equipment, Delays, Design, Nuclear reactors, Tracking control, Uncertainty, Stability, Errors, Signals
Journal Articles

Compactons in Higher-Order Nesterenko's-Type Equations

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Vsevolod Vladimirov, Sergii Skurativskyi
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2024, 19(5): 051002.
Paper No: CND-23-1300
https://doi.org/10.1115/1.4064796
Published Online: March 7, 2024
View Articletitled, Compactons in Higher-Order Nesterenko's-Type Equations
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Topics: Approximation, Chain, Dynamics (Mechanics), Partial differential equations, Solitons, Stability, Trains, Collisions (Physics), Waves, Differential equations
Journal Articles

Neural Network-Based Region Tracking Control for a Flexible-Joint Robot Manipulator

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Jinwei Yu, Mengyang Wu, Jinchen Ji, Weihua Yang
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2024, 19(2): 021003.
Paper No: CND-23-1200
https://doi.org/10.1115/1.4064201
Published Online: December 20, 2023
View Articletitled, Neural Network-Based Region Tracking Control for a Flexible-Joint Robot Manipulator
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Topics: Control equipment, Manipulators, Stability, Tracking control, Dynamics (Mechanics)
Journal Articles

Data Driven Approach to Determine Linear Stability of Delay Differential Equations Using Orthonormal History Functions

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Sankalp Tiwari, Junaidvali Shaik, C. P. Vyasarayani
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2024, 19(2): 021002.
Paper No: CND-23-1182
https://doi.org/10.1115/1.4064251
Published Online: December 20, 2023
View Articletitled, Data Driven Approach to Determine Linear Stability of Delay Differential Equations Using Orthonormal History Functions
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Topics: Delay differential equations, Delays, Stability, Noise (Sound)
Journal Articles

A Second-Order Scheme for the Generalized Time-Fractional Burgers' Equation

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Reetika Chawla, Devendra Kumar, Satpal Singh
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2024, 19(1): 011001.
Paper No: CND-22-1328
https://doi.org/10.1115/1.4063792
Published Online: October 26, 2023
View Articletitled, A Second-Order Scheme for the Generalized Time-Fractional Burgers' Equation
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Topics: Approximation, Errors, Stability