Multistability route in a PWL multi-scroll system through fractional-order derivatives
Author
Abstract
Suggested Citation
DOI: 10.1016/j.chaos.2022.112355
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- J. L. EchenausÃa-Monroy & C. A. RodrÃguez-MartÃne & L. J. Ontañón-GarcÃa & J. Alvarez & J. Pena Ramirez & Atila Bueno, 2021. "Synchronization in Dynamically Coupled Fractional-Order Chaotic Systems: Studying the Effects of Fractional Derivatives," Complexity, Hindawi, vol. 2021, pages 1-12, December.
- Jesus M. Munoz-Pacheco & Luis Carlos Lujano-Hernández & Carlos Muñiz-Montero & Akif Akgül & Luis A. Sánchez-Gaspariano & Chun-Biao Li & Mustafa Çaǧri Kutlu & Carlos Aguilar-Ibanez, 2021. "Active Realization of Fractional-Order Integrators and Their Application in Multiscroll Chaotic Systems," Complexity, Hindawi, vol. 2021, pages 1-16, January.
- Ndolane Sene & Guillermo Huerta Cuellar, 2021. "Study of a Fractional-Order Chaotic System Represented by the Caputo Operator," Complexity, Hindawi, vol. 2021, pages 1-20, June.
- Ahmad, Shabir & Ullah, Aman & Akgül, Ali, 2021. "Investigating the complex behaviour of multi-scroll chaotic system with Caputo fractal-fractional operator," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
- Kuate, Paul Didier Kamdem & Tchendjeu, Achille Ecladore Tchahou & Fotsin, Hilaire, 2020. "A modified Rössler prototype-4 system based on Chua’s diode nonlinearity : Dynamics, multistability, multiscroll generation and FPGA implementation," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
- Gilardi-Velázquez, H.E. & Echenausía-Monroy, J.L. & Jaimes-Reátegui, R. & García-López, J.H. & Campos, Eric & Huerta-Cuellar, G., 2022. "Deterministic coherence resonance analysis of coupled chaotic oscillators: fractional approach," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
- Janarthanan Ramadoss & Sajedeh Aghababaei & Fatemeh Parastesh & Karthikeyan Rajagopal & Sajad Jafari & Iqtadar Hussain & Guillermo Huerta Cuellar, 2021. "Chimera State in the Network of Fractional-Order FitzHugh–Nagumo Neurons," Complexity, Hindawi, vol. 2021, pages 1-9, June.
- Quan Xu & Xiao Tan & Yunzhen Zhang & Han Bao & Yihua Hu & Bocheng Bao & Mo Chen, 2020. "Riddled Attraction Basin and Multistability in Three-Element-Based Memristive Circuit," Complexity, Hindawi, vol. 2020, pages 1-13, August.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- N. C. Pati, 2023. "Bifurcations and multistability in a physically extended Lorenz system for rotating convection," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(8), pages 1-15, August.
- Cheng, Guanghui & Li, Dan & Yao, Yuangen & Gui, Rong, 2023. "Multi-scroll chaotic attractors with multi-wing via oscillatory potential wells," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
- Wang, Ning & Cui, Mengkai & Yu, Xihong & Shan, Yufan & Xu, Quan, 2023. "Generating multi-folded hidden Chua’s attractors: Two-case study," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
- Peng, Hongxin & Ji’e, Musha & Du, Xinyu & Duan, Shukai & Wang, Lidan, 2023. "Design of pseudorandom number generator based on a controllable multi-double-scroll chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Lin, Hairong & Wang, Chunhua & Du, Sichun & Yao, Wei & Sun, Yichuang, 2023. "A family of memristive multibutterfly chaotic systems with multidirectional initial-based offset boosting," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
- Azam, Anam & Aqeel, Muhammad & Sunny, Danish Ali, 2022. "Generation of Multidirectional Mirror Symmetric Multiscroll Chaotic Attractors (MSMCA) in Double Wing Satellite Chaotic System," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
- Ngueuteu Mbouna, S.G. & Banerjee, Tanmoy & Yamapi, René & Woafo, Paul, 2022. "Diverse chimera and symmetry-breaking patterns induced by fractional derivation effect in a network of Stuart-Landau oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
- Xuan, Liu & Ahmad, Shabir & Ullah, Aman & Saifullah, Sayed & Akgül, Ali & Qu, Haidong, 2022. "Bifurcations, stability analysis and complex dynamics of Caputo fractal-fractional cancer model," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
- Rubayyi T. Alqahtani & Shabir Ahmad & Ali Akgül, 2022. "On Numerical Analysis of Bio-Ethanol Production Model with the Effect of Recycling and Death Rates under Fractal Fractional Operators with Three Different Kernels," Mathematics, MDPI, vol. 10(7), pages 1-23, March.
- Xu, Wanjiang & Shi, Xuerong & Jiang, Haibo & Yu, Jianjiang & Zhang, Liping & Zhuang, Lizhou & Wang, Zuolei, 2024. "A simple 4D no-equilibrium chaotic system with only one quadratic term and its application in pseudo-random number generator," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
- Emanuel Guariglia & Rodrigo C. Guido & Gabriel J. P. Dalalana, 2023. "From Wavelet Analysis to Fractional Calculus: A Review," Mathematics, MDPI, vol. 11(7), pages 1-12, March.
- Li, Peiluan & Han, Liqin & Xu, Changjin & Peng, Xueqing & Rahman, Mati ur & Shi, Sairu, 2023. "Dynamical properties of a meminductor chaotic system with fractal–fractional power law operator," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
- Gayathri Vivekanandan & Mahtab Mehrabbeik & Hayder Natiq & Karthikeyan Rajagopal & Esteban Tlelo-Cuautle, 2022. "Fractional-Order Memristive Wilson Neuron Model: Dynamical Analysis and Synchronization Patterns," Mathematics, MDPI, vol. 10(16), pages 1-9, August.
- Cang, Shijian & Zhao, Gehang & Wang, Zenghui & Chen, Zengqiang, 2022. "Global structures of clew-shaped conservative chaotic flows in a class of 3D one-thermostat systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
- Guirao, Juan Luis García & Alsulami, Mansoor & Baskonus, Haci Mehmet & Ilhan, Esin & Veeresha, P., 2023. "Analysis of nonlinear compartmental model using a reliable method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 214(C), pages 133-151.
- Ngamsa Tegnitsap, J.V. & Fotsin, H.B., 2022. "Multistability, transient chaos and hyperchaos, synchronization, and chimera states in wireless magnetically coupled VDPCL oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
More about this item
Keywords
Fractional-order system; Nonlinear dynamics; Chaotic system; Multistability; PWL system; Bifurcation;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005653. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.