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Journal Articles

A Comparison Between Four Chaotic Indicators in Systems With Hidden Attractors

Jamal-Odysseas Maaita, Dimitrios Prousalis
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2025, 20(1): 011008.
Paper No: CND-24-1079
https://doi.org/10.1115/1.4067010
Published Online: December 9, 2024
View Article titled, A Comparison Between Four Chaotic Indicators in Systems With Hidden Attractors
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Topics: Attractors, Chaos, Computation, Liquid crystalline elastomers, Dynamic systems
Journal Articles

Three-Dimensional Space Chaotic Scrolls Generated by Memristive Hopfield Neural Network and Its Application in Robot Path Planning

Linyang Guo, Runxian Yang, Mingjun Tang, Lixia Wang, Chunlin Xu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2024, 19(12): 121009.
Paper No: CND-24-1153
https://doi.org/10.1115/1.4066729
Published Online: October 22, 2024
View Article titled, Three-Dimensional Space Chaotic Scrolls Generated by Memristive Hopfield Neural Network and Its Application in Robot Path Planning
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Topics: Artificial neural networks, Dynamics (Mechanics), Electromagnetic induction, Memristors, Path planning, Robots, Attractors, Bifurcation, Mobile robots, Computer simulation
Journal Articles

The Presence of Chaos in a Viscoelastic Harmonically Forced Von Mises Truss

Pritam Ghoshal, James M. Gibert, Anil K. Bajaj
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2024, 19(7): 071009.
Paper No: CND-23-1262
https://doi.org/10.1115/1.4064554
Published Online: May 14, 2024
View Article titled, The Presence of Chaos in a Viscoelastic Harmonically Forced Von Mises Truss
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Topics: Bifurcation, Chaos, Damping, Dynamics (Mechanics), Oscillations, Trusses (Building), Trajectories (Physics), Viscoelasticity, Stiffness, Viscosity
Journal Articles

Attractors' Analysis and Bifurcation Diagrams for an Impacting Inverted Pendulum in the Presence of a Two-Terms Harmonic Excitation

Milena Petrini, Lucio Demeio, Stefano Lenci
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2023, 18(10): 101004.
Paper No: CND-23-1077
https://doi.org/10.1115/1.4063034
Published Online: August 11, 2023
View Article titled, Attractors' Analysis and Bifurcation Diagrams for an Impacting Inverted Pendulum in the Presence of a Two-Terms Harmonic Excitation
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Topics: Attractors, Bifurcation
Journal Articles

Define the Lyapunov Exponents for ψ -Fractional Differential System

N'Gbo N'Gbo, Jianhua Tang
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2023, 18(5): 051001.
Paper No: CND-22-1240
https://doi.org/10.1115/1.4057041
Published Online: March 20, 2023
View Article titled, Define the Lyapunov Exponents for ψ -Fractional Differential System
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Topics: Differential equations, Eigenvalues, Jacobian matrices, Theorems (Mathematics), Volterra equations, Separation (Technology), Attractors, Computation
Journal Articles

Global Behavior Analysis of Nonlinear Energy Sink Systems Using the Parallelized Multi-Degrees-of-Freedom Cell Mapping Method

Qingchao Yang, Shuang Li, Zhaozhao Ma
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2023, 18(1): 011002.
Paper No: CND-21-1380
https://doi.org/10.1115/1.4056198
Published Online: November 17, 2022
View Article titled, Global Behavior Analysis of Nonlinear Energy Sink Systems Using the Parallelized Multi-Degrees-of-Freedom Cell Mapping Method
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Topics: Attractors, Nonlinear systems
Journal Articles

Boundary Transformation Vectors: A Geometric Method of Quantifying Attractor Deformation for Structural Health Monitoring

Andrew R. Sloboda, Chin Ting Kong
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2022, 17(12): 121004.
Paper No: CND-22-1130
https://doi.org/10.1115/1.4055791
Published Online: October 11, 2022
View Article titled, Boundary Transformation Vectors: A Geometric Method of Quantifying Attractor Deformation for Structural Health Monitoring
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Topics: Attractors, Cantilever beams, Damage, Dampers, Deformation, Excitation, Springs, Structural health monitoring, Signals, Stiffness
Journal Articles

A Study on Methods for Determining Phase Space Reconstruction Parameters

Shi hui Lang, Hua Zhu, Guo dong Sun, Yu Jiang, Chun ling Wei
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2022, 17(1): 011006.
Paper No: CND-20-1383
https://doi.org/10.1115/1.4052721
Published Online: November 17, 2021
View Article titled, A Study on Methods for Determining Phase Space Reconstruction Parameters
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Topics: Attractors, Delays, Dimensions, Phase space, Time series, Trajectories (Physics)
Journal Articles

On the Dynamics of a Biomimetic Model of a Sympodial Tree: From Bifurcations Diagrams and 6D Basins of Attraction to Dynamical Integrity and Robustness

Nemanja Andonovski, Ivana Kovacic, Stefano Lenci
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2022, 17(1): 011002.
Paper No: CND-21-1092
https://doi.org/10.1115/1.4052570
Published Online: October 29, 2021
View Article titled, On the Dynamics of a Biomimetic Model of a Sympodial Tree: From Bifurcations Diagrams and 6D Basins of Attraction to Dynamical Integrity and Robustness
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Topics: Attractors, Bifurcation, Biomimetics, Quadratic programming, Robustness, Transparency, Excitation, Damping, Steady state, Dynamics (Mechanics)
Journal Articles

Periodically Forced Nonlinear Oscillators With Hysteretic Damping

Anastasios Bountis, Konstantinos Kaloudis, Christos Spitas
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2020, 15(12): 121006.
Paper No: CND-20-1077
https://doi.org/10.1115/1.4047339
Published Online: October 23, 2020
View Article titled, Periodically Forced Nonlinear Oscillators With Hysteretic Damping
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Topics: Damping, Stiffness, Errors, Displacement, Attractors, Harmonic oscillators
Journal Articles

Multistability Control of Space Magnetization in Hyperjerk Oscillator: A Case Study

Gervais Dolvis Leutcho, Jacques Kengne, Theophile Fonzin Fozin, K. Srinivasan, Z. Njitacke Tabekoueng, Sajad Jafari, Monica Borda
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2020, 15(5): 051004.
Paper No: CND-19-1301
https://doi.org/10.1115/1.4046639
Published Online: March 30, 2020
View Article titled, Multistability Control of Space Magnetization in Hyperjerk Oscillator: A Case Study
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Topics: Attractors, Bifurcation, Magnetization, Circuits, Cycles
Journal Articles

Compositing Coexisting Attractors by Linear Augmentation

Chang Liu, Yi Cheng Zeng
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. February 2020, 15(2): 024501.
Paper No: CND-19-1220
https://doi.org/10.1115/1.4045591
Published Online: December 18, 2019
View Article titled, Compositing Coexisting Attractors by Linear Augmentation
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Topics: Attractors, Circuits
Journal Articles

Multistability and Stochastic Phenomena in the Distributed Brusselator Model

Alexander Kolinichenko, Lev Ryashko
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2020, 15(1): 011007.
Paper No: CND-19-1096
https://doi.org/10.1115/1.4045405
Published Online: November 22, 2019
View Article titled, Multistability and Stochastic Phenomena in the Distributed Brusselator Model
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Topics: Attractors, Bifurcation, Noise (Sound), Pattern formation, Transients (Dynamics), Oscillations, Diffusion (Physics), Computer simulation
Journal Articles

An Analytical and Experimental Study of SC-CNN-Based Simple Nonautonomous Chaotic Circuit

H. Shameem Banu, P. S. Sheik Uduman, K. Thamilmaran
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2019, 14(12): 121004.
Paper No: CND-19-1114
https://doi.org/10.1115/1.4044924
Published Online: October 7, 2019
View Article titled, An Analytical and Experimental Study of SC-CNN-Based Simple Nonautonomous Chaotic Circuit
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Topics: Chaos, Circuits, Stability, Dynamics (Mechanics), Attractors
Journal Articles

Observation of Strange Nonchaotic Dynamics in the Frame of State-Controlled Cellular Neural Network-Based Oscillator

P. Megavarna Ezhilarasu, K. Suresh, K. Thamilmaran
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2019, 14(11): 111004.
Paper No: CND-19-1022
https://doi.org/10.1115/1.4044147
Published Online: September 23, 2019
View Article titled, Observation of Strange Nonchaotic Dynamics in the Frame of State-Controlled Cellular Neural Network-Based Oscillator
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Topics: Approximation, Attractors, Chaos, Circuits, Dynamics (Mechanics), Hardware, Bifurcation, Poincaré maps
Journal Articles

Hidden Chaotic Attractors and Synchronization for a New Fractional-Order Chaotic System

Zuoxun Wang, Jiaxun Liu, Fangfang Zhang, Sen Leng
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2019, 14(8): 081010.
Paper No: CND-18-1568
https://doi.org/10.1115/1.4043670
Published Online: June 10, 2019
View Article titled, Hidden Chaotic Attractors and Synchronization for a New Fractional-Order Chaotic System
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Topics: Attractors, Equilibrium (Physics), Synchronization, Control equipment, Stability
Journal Articles

Calculating Positive Invariant Sets: A Quantifier Elimination Approach

Klaus Röbenack, Rick Voßwinkel, Hendrik Richter
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. July 2019, 14(7): 074502.
Paper No: CND-18-1506
https://doi.org/10.1115/1.4043380
Published Online: May 13, 2019
View Article titled, Calculating Positive Invariant Sets: A Quantifier Elimination Approach
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Topics: Algebra, Attractors, Geometry, Polynomials
Journal Articles

Self-Excited and Hidden Attractors in an Autonomous Josephson Jerk Oscillator: Analysis and Its Application to Text Encryption

Sifeu Takougang Kingni, Gaetan Fautso Kuiate, Victor Kamdoum Tamba, Viet-Thanh Pham, Duy Vo Hoang
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2019, 14(7): 071004.
Paper No: CND-18-1185
https://doi.org/10.1115/1.4043359
Published Online: May 13, 2019
View Article titled, Self-Excited and Hidden Attractors in an Autonomous Josephson Jerk Oscillator: Analysis and Its Application to Text Encryption
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Topics: Attractors, Encryption, Bifurcation, Equilibrium (Physics)
Journal Articles

Bursting, Dynamics, and Circuit Implementation of a New Fractional-Order Chaotic System With Coexisting Hidden Attractors

Meng Jiao Wang, Xiao Han Liao, Yong Deng, Zhi Jun Li, Yi Ceng Zeng, Ming Lin Ma
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2019, 14(7): 071002.
Paper No: CND-18-1430
https://doi.org/10.1115/1.4043003
Published Online: April 11, 2019
View Article titled, Bursting, Dynamics, and Circuit Implementation of a New Fractional-Order Chaotic System With Coexisting Hidden Attractors
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Topics: Attractors, Circuits, Dynamics (Mechanics), Oscillations
Journal Articles

Dynamical Analysis of Coupled Bidirectional FitzHugh–Nagumo Neuronal Networks With Multiple Delays

Xiaochen Mao, Xiangyu Zhou, Tiantian Shi, Lei Qiao
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. June 2019, 14(6): 061002.
Paper No: CND-18-1273
https://doi.org/10.1115/1.4042998
Published Online: April 8, 2019
View Article titled, Dynamical Analysis of Coupled Bidirectional FitzHugh–Nagumo Neuronal Networks With Multiple Delays
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Topics: Bifurcation, Circuits, Delays, Stability, Attractors, Engineering simulation, Simulation