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Journal Articles

Define the Lyapunov Exponents for ψ -Fractional Differential System

N'Gbo N'Gbo, Jianhua Tang

J. Comput. Nonlinear Dynam. May 2023, 18(5): 051001.

Paper No: CND-22-1240

DOI: https://doi.org/10.1115/1.4057041

Published Online: March 20, 2023

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Topics: Differential equations, Eigenvalues, Jacobian matrices, Theorems (Mathematics), Volterra equations, Separation (Technology), Attractors, Computation

Journal Articles

Atangana–Baleanu Semilinear Fractional Differential Inclusions With Infinite Delay: Existence and Approximate Controllability

W. Kavitha Williams, V. Vijayakumar, Kottakkaran Sooppy Nisar, Anurag Shukla

J. Comput. Nonlinear Dynam. February 2023, 18(2): 021005.

Paper No: CND-22-1089

DOI: https://doi.org/10.1115/1.4056357

Published Online: December 20, 2022

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Topics: Delays, Theorems (Mathematics), Control systems

Journal Articles

Dynamics of a Rumor Propagation Model With Stochastic Perturbation on Homogeneous Social Networks

Yuhuai Zhang, Jianjun Zhu

J. Comput. Nonlinear Dynam. March 2022, 17(3): 031005.

Paper No: CND-21-1182

DOI: https://doi.org/10.1115/1.4053269

Published Online: January 7, 2022

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Topics: Computer simulation, Dynamics (Mechanics), Noise (Sound), Probability, Emergencies, Stability, Theorems (Mathematics)

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

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

Paper No: CND-21-1033

DOI: https://doi.org/10.1115/1.4050554

Published Online: June 4, 2021

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

Journal Articles

Approximate Lyapunov–Perron Transformations: Computation and Applications to Quasi-Periodic Systems

Ashu Sharma

J. Comput. Nonlinear Dynam. May 2021, 16(5): 051005.

Paper No: CND-20-1320

DOI: https://doi.org/10.1115/1.4050614

Published Online: April 12, 2021

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Topics: Computation, Stability, Construction, Theorems (Mathematics)

Journal Articles

Fixed Time Control and Synchronization for Perturbed Chaotic System Via Nonsingular Terminal Sliding Mode Method

Haipeng Su, Runzi Luo, Jiaojiao Fu, Meichun Huang

J. Comput. Nonlinear Dynam. March 2021, 16(3): 031004.

Paper No: CND-20-1316

DOI: https://doi.org/10.1115/1.4049561

Published Online: January 22, 2021

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Topics: Sliding mode control, Synchronization, Theorems (Mathematics), Errors, Control equipment

Journal Articles

An Efficient Technique for Fractional Coupled System Arisen in Magnetothermoelasticity With Rotation Using Mittag–Leffler Kernel

P. Veeresha, D. G. Prakasha, Dumitru Baleanu

J. Comput. Nonlinear Dynam. January 2021, 16(1): 011002.

Paper No: CND-19-1399

DOI: https://doi.org/10.1115/1.4048577

Published Online: October 29, 2020

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Topics: Algorithms, Laplace transforms, Rotation, Theorems (Mathematics), Thermoelasticity

Journal Articles

Well-Posed Formulations for Nonholonomic Mechanical System Dynamics

Edward J. Haug

J. Comput. Nonlinear Dynam. October 2020, 15(10): 101003.

Paper No: CND-19-1329

DOI: https://doi.org/10.1115/1.4047499

Published Online: August 7, 2020

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Topics: Algebra, Design, Differential equations, Equations of motion, System dynamics, Kinematics, Theorems (Mathematics)

Journal Articles

Dynamic Analysis of a Stochastic Predator–Prey Model With Crowley–Martin Functional Response, Disease in Predator, and Saturation Incidence

Conghui Xu, Yongguang Yu, Guojian Ren

J. Comput. Nonlinear Dynam. July 2020, 15(7): 071004.

Paper No: CND-19-1364

DOI: https://doi.org/10.1115/1.4047085

Published Online: May 20, 2020

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Topics: Computer simulation, Diseases, Dynamic analysis, Theorems (Mathematics)

Journal Articles

A Development in the Extended Ritz Method for Solving a General Class of Fractional Variational Problems

Ali Lotfi

J. Comput. Nonlinear Dynam. February 2020, 15(2): 021001.

Paper No: CND-18-1348

DOI: https://doi.org/10.1115/1.4045504

Published Online: December 11, 2019

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Topics: Approximation, Boundary-value problems, Polynomials, Theorems (Mathematics), Function approximation

Journal Articles

Adaptive Synchronization of Complex Dynamical Networks in Presence of Coupling Connections With Dynamical Behavior

Ali Kazemy, Khoshnam Shojaei

J. Comput. Nonlinear Dynam. June 2019, 14(6): 061003.

Paper No: CND-18-1311

DOI: https://doi.org/10.1115/1.4043146

Published Online: April 8, 2019

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Topics: Control equipment, Delays, Synchronization, Theorems (Mathematics), Design, Errors

Journal Articles

Stabilization Conditions for a Class of Fractional-Order Nonlinear Systems

Sunhua Huang, Bin Wang

J. Comput. Nonlinear Dynam. May 2019, 14(5): 054501.

Paper No: CND-18-1369

DOI: https://doi.org/10.1115/1.4042999

Published Online: March 14, 2019

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Topics: Linear matrix inequalities, Nonlinear systems, Stability, Theorems (Mathematics), State feedback, Computer simulation, Control equipment, Closed loop systems, Design

Journal Articles

A New Insight Into the Grünwald–Letnikov Discrete Fractional Calculus

Yiheng Wei, Weidi Yin, Yanting Zhao, Yong Wang

J. Comput. Nonlinear Dynam. April 2019, 14(4): 041008.

Paper No: CND-18-1343

DOI: https://doi.org/10.1115/1.4042635

Published Online: February 15, 2019

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Topics: Theorems (Mathematics), Electromagnetic induction

Journal Articles

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

Bijan Hashtarkhani, Mohammad Javad Khosrowjerdi

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

Paper No: CND-18-1420

DOI: https://doi.org/10.1115/1.4042141

Published Online: January 30, 2019

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

Journal Articles

Control of Continuous Time Chaotic Systems With Unknown Dynamics and Limitation on State Measurement

Hojjat Kaveh, Hassan Salarieh

J. Comput. Nonlinear Dynam. January 2019, 14(1): 011007.

Paper No: CND-18-1096

DOI: https://doi.org/10.1115/1.4041968

Published Online: November 28, 2018

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Topics: Attractors, Chaos, Dynamics (Mechanics), Theorems (Mathematics), Time series, Feedback

Journal Articles

Variational Principle and Conservation Laws of a Generalized Hyperbolic Lane–Emden System

Ben Muatjetjeja, Tshepo E. Mogorosi

J. Comput. Nonlinear Dynam. December 2018, 13(12): 121002.

Paper No: CND-18-1162

DOI: https://doi.org/10.1115/1.4041417

Published Online: October 15, 2018

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Topics: Generators, Variational principles, Algebra, Theorems (Mathematics)

Journal Articles

Fractional-Order Backstepping Sliding-Mode Control Based on Fractional-Order Nonlinear Disturbance Observer

Hadi Delavari, Hamid Heydarinejad

J. Comput. Nonlinear Dynam. November 2018, 13(11): 111009.

Paper No: CND-18-1068

DOI: https://doi.org/10.1115/1.4041322

Published Online: September 17, 2018

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Topics: Algorithms, Control equipment, Nonlinear systems, Stability, Errors, Theorems (Mathematics)

Journal Articles

Chaos Synchronization of Fractional-Order Chaotic Systems With Input Saturation

Pitcha Khamsuwan, Teerawat Sangpet, Suwat Kuntanapreeda

J. Comput. Nonlinear Dynam. September 2018, 13(9): 090903.

Paper No: CND-17-1264

DOI: https://doi.org/10.1115/1.4039681

Published Online: July 26, 2018

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Topics: Chaos synchronization, Dynamics (Mechanics), Errors, Stability, Synchronization, Theorems (Mathematics), Computer simulation, Signals, Linear matrix inequalities, Optimization

Journal Articles

Fractional-Order Nonlinear Disturbance Observer Based Control of Fractional-Order Systems

Aldo Jonathan Muñoz-Vázquez, Vicente Parra-Vega, Anand Sánchez-Orta

J. Comput. Nonlinear Dynam. July 2018, 13(7): 071007.

Paper No: CND-18-1047

DOI: https://doi.org/10.1115/1.4040129

Published Online: May 30, 2018

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Topics: Control equipment, Design, Simulation, Stability, Theorems (Mathematics), Signals, Nonlinear systems, Reliability, Robust control, Feedback

Journal Articles

Tracking of a Bouncing Ball in a Planar Billiard Through Continuous-Time Approximations

Laura Menini, Corrado Possieri, Antonio Tornambè

J. Comput. Nonlinear Dynam. June 2018, 13(6): 061006.

Paper No: CND-17-1312

DOI: https://doi.org/10.1115/1.4039876

Published Online: April 27, 2018

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Topics: Approximation, Feedback, Theorems (Mathematics), Trajectories (Physics), Errors

2 3 4

Journal citation

NARROW

Define the Lyapunov Exponents for ψ -Fractional Differential System

Atangana–Baleanu Semilinear Fractional Differential Inclusions With Infinite Delay: Existence and Approximate Controllability

Dynamics of a Rumor Propagation Model With Stochastic Perturbation on Homogeneous Social Networks

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

Approximate Lyapunov–Perron Transformations: Computation and Applications to Quasi-Periodic Systems

Fixed Time Control and Synchronization for Perturbed Chaotic System Via Nonsingular Terminal Sliding Mode Method

An Efficient Technique for Fractional Coupled System Arisen in Magnetothermoelasticity With Rotation Using Mittag–Leffler Kernel

Well-Posed Formulations for Nonholonomic Mechanical System Dynamics

Dynamic Analysis of a Stochastic Predator–Prey Model With Crowley–Martin Functional Response, Disease in Predator, and Saturation Incidence

A Development in the Extended Ritz Method for Solving a General Class of Fractional Variational Problems

Adaptive Synchronization of Complex Dynamical Networks in Presence of Coupling Connections With Dynamical Behavior

Stabilization Conditions for a Class of Fractional-Order Nonlinear Systems

A New Insight Into the Grünwald–Letnikov Discrete Fractional Calculus

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

Control of Continuous Time Chaotic Systems With Unknown Dynamics and Limitation on State Measurement

Variational Principle and Conservation Laws of a Generalized Hyperbolic Lane–Emden System

Fractional-Order Backstepping Sliding-Mode Control Based on Fractional-Order Nonlinear Disturbance Observer

Chaos Synchronization of Fractional-Order Chaotic Systems With Input Saturation

Fractional-Order Nonlinear Disturbance Observer Based Control of Fractional-Order Systems

Tracking of a Bouncing Ball in a Planar Billiard Through Continuous-Time Approximations

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