Chaotic systems based on higher-order oscillatory equations

Simple item page
dc.contributor.authorPetržela, Jiřícs
dc.coverage.issue1cs
dc.coverage.volume14cs
dc.date.issued2024-09-10cs
dc.description.abstractThis paper discusses the design process toward new lumped chaotic systems that originates in higherorder ordinary differential equations commonly used as description of ideal oscillators. In investigated thirdorder case, two chaotic oscillators were constructed. These systems are dual in the sense of vector field geometry local to fixed points. The existence of robust chaos was proved by both standard routines of numerical analysis and practical measurement. For the fourthorder oscillatory equation, the concept based on interaction between superinductor and supercapacitor was examined in detail. Since both “superelements” are active, the nonlinearity essential to the evolution of chaos is fully passive. It is demonstrated that complex motion is robust and does not represent long transient behavior or numerical artefact. The existence of chaos was verified using standard quantifiers of the flow, such as the largest Lyapunov exponents, recurrence plots, approximate entropy and sensitivity calculation. A good final agreement between theoretical assumptions and practical results will be concluded, on a visual comparison basis.en
dc.description.abstractThis paper discusses the design process toward new lumped chaotic systems that originates in higherorder ordinary differential equations commonly used as description of ideal oscillators. In investigated thirdorder case, two chaotic oscillators were constructed. These systems are dual in the sense of vector field geometry local to fixed points. The existence of robust chaos was proved by both standard routines of numerical analysis and practical measurement. For the fourthorder oscillatory equation, the concept based on interaction between superinductor and supercapacitor was examined in detail. Since both “superelements” are active, the nonlinearity essential to the evolution of chaos is fully passive. It is demonstrated that complex motion is robust and does not represent long transient behavior or numerical artefact. The existence of chaos was verified using standard quantifiers of the flow, such as the largest Lyapunov exponents, recurrence plots, approximate entropy and sensitivity calculation. A good final agreement between theoretical assumptions and practical results will be concluded, on a visual comparison basis.en
dc.formattextcs
dc.format.extent21075-21095cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationScientific Reports. 2024, vol. 14, issue 1, p. 21075-21095.en
dc.identifier.doi10.1038/s41598-024-72034-6cs
dc.identifier.issn2045-2322cs
dc.identifier.orcid0000-0001-5286-9574cs
dc.identifier.other189607cs
dc.identifier.researcheridDZG-2188-2022cs
dc.identifier.scopus9333762000cs
dc.identifier.urihttp://hdl.handle.net/11012/249484
dc.language.isoencs
dc.publisherNATURE PORTFOLIOcs
dc.relation.ispartofScientific Reportscs
dc.relation.urihttps://www.nature.com/articles/s41598-024-72034-6cs
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2045-2322/cs
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/cs
dc.subjectChaosen
dc.subjectchaotic systemen
dc.subjectoscillatory equationen
dc.subjectstrange attractoren
dc.subjectChaos
dc.subjectchaotic system
dc.subjectoscillatory equation
dc.subjectstrange attractor
dc.titleChaotic systems based on higher-order oscillatory equationsen
dc.title.alternativeChaotic systems based on higher-order oscillatory equationsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-189607en
sync.item.dbtypeVAVen
sync.item.insts2025.10.14 14:11:43en
sync.item.modts2025.10.14 09:48:26en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav radioelektronikycs
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
s41598024720346.pdf
Size:
20.75 MB
Format:
Adobe Portable Document Format
Description:
file s41598024720346.pdf
Download
Collections
Ústav radioelektroniky