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Journal Articles

An Estimate of the Bound of the Lyapunov Exponents for Caputo–Hadamard Fractional Differential System

Changpin Li, Chuntao Yin
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2021, 16(7): 071002.
Paper No: CND-21-1026
https://doi.org/10.1115/1.4051024
Published Online: May 18, 2021
View Article titled, An Estimate of the Bound of the Lyapunov Exponents for Caputo–Hadamard Fractional Differential System
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Topics: Differential equations, Eigenvalues
Journal Articles

On Finite Part Integrals and Hadamard-Type Fractional Derivatives

Li Ma, Changpin Li
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2018, 13(9): 090905.
Paper No: CND-17-1317
https://doi.org/10.1115/1.4037930
Published Online: July 26, 2018
View Article titled, On Finite Part Integrals and Hadamard-Type Fractional Derivatives
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Proceedings Papers

Well-Posedness of Fractional Differential Equations

Changpin Li, Li Ma
Proc. ASME. IDETC-CIE2017, Volume 9: 13th ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, V009T07A022, August 6–9, 2017
Publisher: American Society of Mechanical Engineers
Paper No: DETC2017-67099
https://doi.org/10.1115/DETC2017-67099
View Paper titled, Well-Posedness of Fractional Differential Equations
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Topics: Differential equations
Journal Articles

Fractional Convection

Changpin Li, Qian Yi, Jürgen Kurths
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2018, 13(1): 011004.
Paper No: CND-16-1572
https://doi.org/10.1115/1.4037414
Published Online: October 9, 2017
View Article titled, Fractional Convection
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Topics: Convection, Diffusion (Physics)
Journal Articles

Lyapunov–Schmidt Reduction for Fractional Differential Systems

Changpin Li, Li Ma
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2016, 11(5): 051022.
Paper No: CND-15-1385
https://doi.org/10.1115/1.4033607
Published Online: May 24, 2016
View Article titled, Lyapunov–Schmidt Reduction for Fractional Differential Systems
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Topics: Algorithms, Bifurcation, Dynamics (Mechanics), Space, Theorems (Mathematics), Phase diagrams
Proceedings Papers

Pinning Impulsive Synchronization of Fractional Complex Dynamical Networks

Weiyuan Ma, Changpin Li, Yujiang Wu
Proc. ASME. IDETC-CIE2015, Volume 9: 2015 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, V009T07A039, August 2–5, 2015
Publisher: American Society of Mechanical Engineers
Paper No: DETC2015-47029
https://doi.org/10.1115/DETC2015-47029
View Paper titled, Pinning Impulsive Synchronization of Fractional Complex Dynamical Networks
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Topics: Synchronization, Differential equations
Journal Articles

Center Manifold of Fractional Dynamical System

Li Ma, Changpin Li
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2016, 11(2): 021010.
Paper No: CND-15-1078
https://doi.org/10.1115/1.4031120
Published Online: August 26, 2015
View Article titled, Center Manifold of Fractional Dynamical System
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Topics: Manifolds, Dynamic systems
Proceedings Papers

Anti-Control of Chaos in Fractional Difference Equations

Changpin Li, Li Ma, Huang Xiao
Proc. ASME. IDETC-CIE2013, Volume 4: 18th Design for Manufacturing and the Life Cycle Conference; 2013 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, V004T08A027, August 4–7, 2013
Publisher: American Society of Mechanical Engineers
Paper No: DETC2013-12835
https://doi.org/10.1115/DETC2013-12835
View Paper titled, Anti-Control of Chaos in Fractional Difference Equations
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Topics: Chaos, Control equipment, Computers, Differential equations
Proceedings Papers

Equivalent Same-Order System for Multi-Rational-Order Fractional Differential System With Caputo Derivative

Changpin Li, Fengrong Zhang
Proc. ASME. IDETC-CIE2011, Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B, 105-114, August 28–31, 2011
Publisher: American Society of Mechanical Engineers
Paper No: DETC2011-47204
https://doi.org/10.1115/DETC2011-47204
View Paper titled, Equivalent Same-Order System for Multi-Rational-Order Fractional Differential System With Caputo Derivative
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Topics: Stability
Proceedings Papers

Multi-Group Consensus of Heterogeneous Fractional-Order Nonlinear Agents via Pinning Control

Wei Sun, YangQuan Chen, Changpin Li
Proc. ASME. IDETC-CIE2011, Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B, 377-383, August 28–31, 2011
Publisher: American Society of Mechanical Engineers
Paper No: DETC2011-48151
https://doi.org/10.1115/DETC2011-48151
View Paper titled, Multi-Group Consensus of Heterogeneous Fractional-Order Nonlinear Agents via Pinning Control
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Topics: Dynamics (Mechanics), Eigenvalues, Engineering simulation, Equilibrium (Physics), Nonlinear dynamics, Simulation, Steady state
Proceedings Papers

Adomian’s Method Applied to Navier-Stokes Equation With a Fractional Order

Yihong Wang, Zhengang Zhao, Changpin Li, YangQuan Chen
Proc. ASME. IDETC-CIE2009, Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 1047-1054, August 30–September 2, 2009
Publisher: American Society of Mechanical Engineers
Paper No: DETC2009-86691
https://doi.org/10.1115/DETC2009-86691
View Paper titled, Adomian’s Method Applied to Navier-Stokes Equation With a Fractional Order
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Topics: Navier-Stokes equations
Proceedings Papers

Numerical Approximation and Error Estimation of a Time Fractional Order Diffusion Equation

Changpin Li, Zhengang Zhao, YangQuan Chen
Proc. ASME. IDETC-CIE2009, Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 1055-1062, August 30–September 2, 2009
Publisher: American Society of Mechanical Engineers
Paper No: DETC2009-86693
https://doi.org/10.1115/DETC2009-86693
View Paper titled, Numerical Approximation and Error Estimation of a Time Fractional Order Diffusion Equation
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Topics: Approximation, Diffusion (Physics), Errors, Finite element methods