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Journal Articles

Chaotic property in general fractional calculus

Anatoly N. Kochubei

Chaos 34, 123165 (2024)

https://doi.org/10.1063/5.0243475

Published: December 2024

View article titled, Chaotic property in general fractional calculus

Journal Articles

Mechanism of transition from subdiffusive transport to normal diffusion for passive tracers in a plane periodical flow induced by Gaussian noise

Boris S. Maryshev, Lyudmila S. Klimenko

Chaos 34, 123113 (2024)

https://doi.org/10.1063/5.0224277

Published: December 2024

View article titled, Mechanism of transition from subdiffusive transport to normal diffusion for passive tracers in a plane periodical flow induced by Gaussian noise

Journal Articles

Chaotic dynamics and optimal therapeutic strategies for Caputo fractional tumor immune model in combination therapy

Jia Li, Xuewen Tan, Wanqin Wu, Xinzhi Liu

Chaos 34, 113113 (2024)

https://doi.org/10.1063/5.0224717

Published: November 2024

View article titled, Chaotic dynamics and optimal therapeutic strategies for Caputo fractional tumor immune model in combination therapy

Includes: Supplementary data

Journal Articles

Data-driven discrete fractional chaotic systems, new numerical schemes and deep learning

Guo-Cheng Wu, Zhi-Qiang Wu, Wei Zhu

Chaos 34, 093144 (2024)

https://doi.org/10.1063/5.0218662

Published: September 2024

View article titled, Data-driven discrete fractional chaotic systems, new numerical schemes and deep learning

Journal Articles

Synchronization transitions in a system of superdiffusively coupled neurons: Interplay of chimeras, solitary states, and phase waves

I. Fateev, A. Polezhaev

Chaos 34, 093131 (2024)

https://doi.org/10.1063/5.0226751

Published: September 2024

View article titled, Synchronization transitions in a system of superdiffusively coupled neurons: Interplay of chimeras, solitary states, and phase waves

Journal Articles

Non-Markovian quantum mechanics on comb

Alexander Iomin

Chaos 34, 093135 (2024)

https://doi.org/10.1063/5.0226335

Published: September 2024

View article titled, Non-Markovian quantum mechanics on comb

Journal Articles

Identification method for a fractional-order system in terms of equivalent dynamic properties

Minjuan Yuan, Wei Xu, Fawang Liu, Liang Wang, Yisha Lu

Chaos 34, 073119 (2024)

https://doi.org/10.1063/5.0187031

Published: July 2024

View article titled, Identification method for a fractional-order system in terms of equivalent dynamic properties

Journal Articles

Analytical investigation of vesicle dynamics via the modified Riemann–Liouville fractional derivative: Mittag-Leffler function solution and comparative analysis with Caputo’s derivative

Elhoussine Azroul, Ghizlane Diki

Chaos 34, 063139 (2024)

https://doi.org/10.1063/5.0208993

Published: June 2024

View article titled, Analytical investigation of vesicle dynamics via the modified Riemann–Liouville fractional derivative: Mittag-Leffler function solution and comparative analysis with Caputo’s derivative

Journal Articles

Dissipative systems fractionally coupled to a bath

A. Vertessen, R. C. Verstraten, C. Morais Smith

Chaos 34, 063103 (2024)

https://doi.org/10.1063/5.0204304

Published: June 2024

View article titled, Dissipative systems fractionally coupled to a bath

Journal Articles

Stability analysis of fractional difference equations with delay

Divya D. Joshi, Sachin Bhalekar, Prashant M. Gade

Chaos 34, 053111 (2024)

https://doi.org/10.1063/5.0196723

Published: May 2024

View article titled, Stability analysis of fractional difference equations with delay

Journal Articles

Analytical solutions and classification of vesicle motion and deformation in shear flow: Uncovering new tank-treading modes

E. Azroul, S. Bouda, G. Diki, M. Guedda

Chaos 34, 033110 (2024)

https://doi.org/10.1063/5.0189923

Published: March 2024

View article titled, Analytical solutions and classification of vesicle motion and deformation in shear flow: Uncovering new tank-treading modes

Journal Articles

Finite-time stability of fractional-order nonlinear systems

Zaiyong Feng, Zhengrong Xiang

Chaos 34, 023105 (2024)

https://doi.org/10.1063/5.0170419

Published: February 2024

View article titled, Finite-time stability of fractional-order nonlinear systems

Journal Articles

Fractional averaging theory for discrete fractional-order system with impulses

Peiguang Wang, Xiang Liu, Douglas R. Anderson

Chaos 34, 013128 (2024)

https://doi.org/10.1063/5.0181121

Published: January 2024

View article titled, Fractional averaging theory for discrete fractional-order system with impulses

Journal Articles

Dynamic perturbation analysis of fractional order differential quasiperiodic Mathieu equation

Jiaquan Xie, Meiru Wan, Fuqiang Zhao, Jun Zhang, Wei Shi, Shuai Zhu, Xiaoning Huang, Jianhua Yang

Chaos 33, 123118 (2023)

https://doi.org/10.1063/5.0163991

Published: December 2023

View article titled, Dynamic perturbation analysis of fractional order differential quasiperiodic Mathieu equation

Journal Articles

Impact of Allee and fear effects in a fractional order prey–predator system with group defense and prey refuge

Wenhui Tan, Hao Tian, Yanjie Song, Xiaojun Duan

Chaos 33, 103113 (2023)

https://doi.org/10.1063/5.0157354

Published: October 2023

View article titled, Impact of Allee and fear effects in a fractional order prey–predator system with group defense and prey refuge

Journal Articles

Chimera states in a chain of superdiffusively coupled neurons

I. Fateev, A. Polezhaev

Chaos 33, 103110 (2023)

https://doi.org/10.1063/5.0168422

Published: October 2023

View article titled, Chimera states in a chain of superdiffusively coupled neurons

Journal Articles

Mixed-mode oscillations and extreme events in fractional-order Bonhoeffer–van der Pol oscillator

Zhouchao Wei, Suresh Kumarasamy, Mohanasubha Ramasamy, Karthikeyan Rajagopal, Youhua Qian

Chaos 33, 093136 (2023)

https://doi.org/10.1063/5.0158100

Published: September 2023

View article titled, Mixed-mode oscillations and extreme events in fractional-order Bonhoeffer–van der Pol oscillator

Journal Articles

Fractal and fractional SIS model for syphilis data

Enrique C. Gabrick, Elaheh Sayari, Diogo L. M. Souza, Fernando S. Borges, José Trobia, Ervin K. Lenzi, Antonio M. Batista

Chaos 33, 093124 (2023)

https://doi.org/10.1063/5.0153122

Published: September 2023

View article titled, Fractal and fractional SIS model for syphilis data

Journal Articles

Synchronization of uncertain general fractional unified chaotic systems via finite-time adaptive sliding mode control

Hui Fu, Yonggui Kao

Chaos 33, 043136 (2023)

https://doi.org/10.1063/5.0130366

Published: April 2023

View article titled, Synchronization of uncertain general fractional unified chaotic systems via finite-time adaptive sliding mode control

Journal Articles

Observers-based event-triggered adaptive fuzzy backstepping synchronization of uncertain fractional order chaotic systems

Hanlin Dong, Jinde Cao, Heng Liu

Chaos 33, 043113 (2023)

https://doi.org/10.1063/5.0135758

Published: April 2023

View article titled, Observers-based event-triggered adaptive fuzzy backstepping synchronization of uncertain fractional order chaotic systems

NARROW

Topics

Chaotic property in general fractional calculus

Mechanism of transition from subdiffusive transport to normal diffusion for passive tracers in a plane periodical flow induced by Gaussian noise

Chaotic dynamics and optimal therapeutic strategies for Caputo fractional tumor immune model in combination therapy

Data-driven discrete fractional chaotic systems, new numerical schemes and deep learning

Synchronization transitions in a system of superdiffusively coupled neurons: Interplay of chimeras, solitary states, and phase waves

Non-Markovian quantum mechanics on comb

Identification method for a fractional-order system in terms of equivalent dynamic properties

Analytical investigation of vesicle dynamics via the modified Riemann–Liouville fractional derivative: Mittag-Leffler function solution and comparative analysis with Caputo’s derivative

Dissipative systems fractionally coupled to a bath

Stability analysis of fractional difference equations with delay

Analytical solutions and classification of vesicle motion and deformation in shear flow: Uncovering new tank-treading modes

Finite-time stability of fractional-order nonlinear systems

Fractional averaging theory for discrete fractional-order system with impulses

Dynamic perturbation analysis of fractional order differential quasiperiodic Mathieu equation

Impact of Allee and fear effects in a fractional order prey–predator system with group defense and prey refuge

Chimera states in a chain of superdiffusively coupled neurons

Mixed-mode oscillations and extreme events in fractional-order Bonhoeffer–van der Pol oscillator

Fractal and fractional SIS model for syphilis data

Synchronization of uncertain general fractional unified chaotic systems via finite-time adaptive sliding mode control

Observers-based event-triggered adaptive fuzzy backstepping synchronization of uncertain fractional order chaotic systems

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