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Journal Articles

Center Manifold Reduction for Caputo–Hadamard Fractional Differential System

Li Ma, Ya Shu

Publisher: ASME

J. Comput. Nonlinear Dynam. September 2025, 20(9): 091001.

Paper No: CND-24-1128

https://doi.org/10.1115/1.4068728

Published Online: June 11, 2025

View Articletitled, Center Manifold Reduction for Caputo–Hadamard Fractional Differential System

Topics: Manifolds, Stability, Approximation

Journal Articles

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

Nami Mogharabin, Amin Ghadami

Publisher: ASME

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

Topics: Bifurcation, Dynamic systems, Manifolds, Stability, Dynamics (Mechanics)

Journal Articles

A Geometric Derivation of the Governing Equations of Motion of Nonholonomic Dynamic Systems

Xiaobo Liu

Publisher: ASME

J. Comput. Nonlinear Dynam. November 2024, 19(11): 111002.

Paper No: CND-24-1114

https://doi.org/10.1115/1.4066073

Published Online: August 22, 2024

View Articletitled, A Geometric Derivation of the Governing Equations of Motion of Nonholonomic Dynamic Systems

Topics: Dynamic systems, Equations of motion, Manifolds, Disks

Journal Articles

Redundant Manipulator Kinematics and Dynamics on Differentiable Manifolds

Edward J. Haug, Adrian Peidro

Publisher: ASME

J. Comput. Nonlinear Dynam. November 2022, 17(11): 111008.

Paper No: CND-22-1112

https://doi.org/10.1115/1.4055313

Published Online: September 19, 2022

View Articletitled, Redundant Manipulator Kinematics and Dynamics on Differentiable Manifolds

Topics: Manifolds, Manipulators, Kinematics

Journal Articles

Order Reduction of Nonlinear Quasi-Periodic Systems Using Lyapunov–Perron Transformation

Susheelkumar C. Subramanian, Sangram Redkar

Publisher: ASME

J. Comput. Nonlinear Dynam. September 2022, 17(9): 091002.

Paper No: CND-22-1028

https://doi.org/10.1115/1.4054349

Published Online: May 10, 2022

View Articletitled, Order Reduction of Nonlinear Quasi-Periodic Systems Using Lyapunov–Perron Transformation

Topics: Manifolds, Errors, Computation

Journal Articles

Boosting the Model Discovery of Hybrid Dynamical Systems in an Informed Sparse Regression Approach

Nico Novelli, Stefano Lenci, Pierpaolo Belardinelli

Publisher: ASME

J. Comput. Nonlinear Dynam. May 2022, 17(5): 051007.

Paper No: CND-21-1302

https://doi.org/10.1115/1.4053324

Published Online: March 14, 2022

View Articletitled, Boosting the Model Discovery of Hybrid Dynamical Systems in an Informed Sparse Regression Approach

Topics: Algorithms, Dynamic systems, Dynamics (Mechanics), Electromagnetic radiation, Springs, Phase space, Manifolds, Switches

Journal Articles

Manipulator Kinematics and Dynamics on Differentiable Manifolds: Part I Kinematics

Edward J. Haug

Publisher: ASME

J. Comput. Nonlinear Dynam. February 2022, 17(2): 021002.

Paper No: CND-21-1122

https://doi.org/10.1115/1.4052652

Published Online: November 22, 2021

View Articletitled, Manipulator Kinematics and Dynamics on Differentiable Manifolds: Part I Kinematics

Topics: Kinematics, Manifolds, Manipulators

Journal Articles

Change of the Most Probable Escape Path in a Fast-Slow Insect Outbreak System Under Different Noise Amplitude Ratios

Qing Yu, Xianbin Liu

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2022, 17(1): 011004.

Paper No: CND-21-1084

https://doi.org/10.1115/1.4052724

Published Online: November 9, 2021

View Articletitled, Change of the Most Probable Escape Path in a Fast-Slow Insect Outbreak System Under Different Noise Amplitude Ratios

Topics: Approximation, Manifolds, Noise (Sound), Relaxation (Physics)

Journal Articles

Multiple Bifurcations and Complex Responses of Nonlinear Time-Delay Oscillators

Xiaochen Mao, Fuchen Lei, Xingyong Li, Weijie Ding, Tiantian Shi

Publisher: ASME

J. Comput. Nonlinear Dynam. November 2021, 16(11): 111001.

Paper No: CND-21-1032

https://doi.org/10.1115/1.4051819

Published Online: August 31, 2021

View Articletitled, Multiple Bifurcations and Complex Responses of Nonlinear Time-Delay Oscillators

Topics: Bifurcation, Circuits, Delays, Manifolds, Stability, Oscillations

Journal Articles

Augmented Perpetual Manifolds and Perpetual Mechanical Systems—Part I: Definitions, Theorem, and Corollary for Triggering Perpetual Manifolds, Application in Reduced-Order Modeling and Particle-Wave Motion of Flexible Mechanical Systems

Fotios Georgiades

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2021, 16(7): 071005.

Paper No: CND-21-1033

https://doi.org/10.1115/1.4050554

Published Online: June 4, 2021

View Articletitled, Augmented Perpetual Manifolds and Perpetual Mechanical Systems—Part I: Definitions, Theorem, and Corollary for Triggering Perpetual Manifolds, Application in Reduced-Order Modeling and Particle-Wave Motion of Flexible Mechanical Systems

Topics: Manifolds, Theorems (Mathematics), Waves, Particulate matter

Journal Articles

Multibody Dynamics on Differentiable Manifolds

Edward J. Haug

Publisher: ASME

J. Comput. Nonlinear Dynam. April 2021, 16(4): 041003.

Paper No: CND-20-1428

https://doi.org/10.1115/1.4049995

Published Online: February 24, 2021

View Articletitled, Multibody Dynamics on Differentiable Manifolds

Topics: Kinematics, Manifolds, Multibody dynamics, Parametrization, Topology, Multibody systems

Journal Articles

Multidimensional Manifold Continuation for Adaptive Boundary-Value Problems

Harry Dankowicz, Yuqing Wang, Frank Schilder, Michael E. Henderson

Publisher: ASME

J. Comput. Nonlinear Dynam. May 2020, 15(5): 051002.

Paper No: CND-19-1390

https://doi.org/10.1115/1.4046498

Published Online: March 18, 2020

View Articletitled, Multidimensional Manifold Continuation for Adaptive Boundary-Value Problems

Topics: Boundary-value problems, Manifolds, Dynamic systems, Space, Geometry

Journal Articles

Geometric Spectral Algorithms for the Simulation of Rigid Bodies

Yiqun Li, Razikhova Meiramgul, Jiankui Chen, Zhouping Yin

Publisher: ASME

J. Comput. Nonlinear Dynam. December 2019, 14(12): 121005.

Paper No: CND-19-1152

https://doi.org/10.1115/1.4044925

Published Online: October 7, 2019

View Articletitled, Geometric Spectral Algorithms for the Simulation of Rigid Bodies

Topics: Algorithms, Dynamics (Mechanics), Manifolds, Pendulums, Simulation, Satellites, Control systems, Lie algebras

Journal Articles

Hyper-Reduction Over Nonlinear Manifolds for Large Nonlinear Mechanical Systems

Shobhit Jain, Paolo Tiso

Publisher: ASME

J. Comput. Nonlinear Dynam. August 2019, 14(8): 081008.

Paper No: CND-18-1538

https://doi.org/10.1115/1.4043450

Published Online: May 15, 2019

View Articletitled, Hyper-Reduction Over Nonlinear Manifolds for Large Nonlinear Mechanical Systems

Topics: Manifolds

Journal Articles

Neural Adaptive Fault Tolerant Control of Nonlinear Fractional Order Systems Via Terminal Sliding Mode Approach

Bijan Hashtarkhani, Mohammad Javad Khosrowjerdi

Publisher: ASME

J. Comput. Nonlinear Dynam. March 2019, 14(3): 031009.

Paper No: CND-18-1420

https://doi.org/10.1115/1.4042141

Published Online: January 30, 2019

View Articletitled, Neural Adaptive Fault Tolerant Control of Nonlinear Fractional Order Systems Via Terminal Sliding Mode Approach

Topics: Actuators, Artificial neural networks, Control equipment, Design, Errors, Signals, Stability, Tracking control, Computer simulation, Theorems (Mathematics)

Journal Articles

A Boundary Layer Approach to Multibody Systems Involving Single Frictional Impacts

S. Natsiavas, E. Paraskevopoulos

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2019, 14(1): 011002.

Paper No: CND-18-1316

https://doi.org/10.1115/1.4041775

Published Online: November 19, 2018

View Articletitled, A Boundary Layer Approach to Multibody Systems Involving Single Frictional Impacts

Topics: Boundary layers, Collisions (Physics), Friction, Manifolds, Pendulums, Dynamics (Mechanics), Particulate matter, Multibody systems, Equations of motion, Space

Journal Articles

Extension of Maggi and Kane Equations to Holonomic Dynamic Systems

Edward J. Haug

Publisher: ASME

J. Comput. Nonlinear Dynam. December 2018, 13(12): 121003.

Paper No: CND-18-1275

https://doi.org/10.1115/1.4041579

Published Online: October 15, 2018

View Articletitled, Extension of Maggi and Kane Equations to Holonomic Dynamic Systems

Topics: Computers, Differential equations, Dynamic systems, Equations of motion, Errors, Manifolds, Pendulums, Algorithms, Dynamics (Mechanics)

Journal Articles

Simulation-Free Hyper-Reduction for Geometrically Nonlinear Structural Dynamics: A Quadratic Manifold Lifting Approach

Shobhit Jain, Paolo Tiso

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2018, 13(7): 071003.

Paper No: CND-17-1462

https://doi.org/10.1115/1.4040021

Published Online: May 28, 2018

View Articletitled, Simulation-Free Hyper-Reduction for Geometrically Nonlinear Structural Dynamics: A Quadratic Manifold Lifting Approach

Topics: Simulation, Manifolds, Structural dynamics, Algorithms

Journal Articles

A Semi-Analytical Method for Calculation of Strongly Nonlinear Normal Modes of Mechanical Systems

S. Mahmoudkhani

Publisher: ASME

J. Comput. Nonlinear Dynam. April 2018, 13(4): 041005.

Paper No: CND-17-1490

https://doi.org/10.1115/1.4039192

Published Online: February 26, 2018

View Articletitled, A Semi-Analytical Method for Calculation of Strongly Nonlinear Normal Modes of Mechanical Systems

Topics: Algebra, Approximation, Computation, Degrees of freedom, Equations of motion, Manifolds, Pipes, Resonance, Standing waves, Traveling waves

Journal Articles

Forced Response Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes Method and Iterative Approach

Feng Liang, Xiao-Dong Yang, Ying-Jing Qian, Wei Zhang

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2018, 13(1): 014502.

Paper No: CND-16-1627

https://doi.org/10.1115/1.4037594

Published Online: October 9, 2017

View Articletitled, Forced Response Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes Method and Iterative Approach

Topics: Fluids, Pipes, Vibration, Manifolds

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Center Manifold Reduction for Caputo–Hadamard Fractional Differential System

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

A Geometric Derivation of the Governing Equations of Motion of Nonholonomic Dynamic Systems

Redundant Manipulator Kinematics and Dynamics on Differentiable Manifolds

Order Reduction of Nonlinear Quasi-Periodic Systems Using Lyapunov–Perron Transformation

Boosting the Model Discovery of Hybrid Dynamical Systems in an Informed Sparse Regression Approach

Manipulator Kinematics and Dynamics on Differentiable Manifolds: Part I Kinematics

Change of the Most Probable Escape Path in a Fast-Slow Insect Outbreak System Under Different Noise Amplitude Ratios

Multiple Bifurcations and Complex Responses of Nonlinear Time-Delay Oscillators

Augmented Perpetual Manifolds and Perpetual Mechanical Systems—Part I: Definitions, Theorem, and Corollary for Triggering Perpetual Manifolds, Application in Reduced-Order Modeling and Particle-Wave Motion of Flexible Mechanical Systems

Multibody Dynamics on Differentiable Manifolds

Multidimensional Manifold Continuation for Adaptive Boundary-Value Problems

Geometric Spectral Algorithms for the Simulation of Rigid Bodies

Hyper-Reduction Over Nonlinear Manifolds for Large Nonlinear Mechanical Systems

Neural Adaptive Fault Tolerant Control of Nonlinear Fractional Order Systems Via Terminal Sliding Mode Approach

A Boundary Layer Approach to Multibody Systems Involving Single Frictional Impacts

Extension of Maggi and Kane Equations to Holonomic Dynamic Systems

Simulation-Free Hyper-Reduction for Geometrically Nonlinear Structural Dynamics: A Quadratic Manifold Lifting Approach

A Semi-Analytical Method for Calculation of Strongly Nonlinear Normal Modes of Mechanical Systems

Forced Response Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes Method and Iterative Approach

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