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Journal Articles

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

Accepted Manuscript
Karthik Chikmagalur, Bassam Bamieh
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam.
Paper No: CND-24-1215
https://doi.org/10.1115/1.4068374
Published Online: April 7, 2025
View Articletitled, An Implicit Function Method for Computing the Stability Boundaries of Hill's Equation
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Topics: Stability, Resonance, Damping, Numerical analysis, Pendulums
Journal Articles

Effects of High Frequency Horizontal Base Excitation on A Bistable System

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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