Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system
| dc.contributor.author | Kuznetsov, Nikolay | |
| dc.contributor.author | Leonov, G. A. | |
| dc.contributor.author | Mokaev, T. N. | |
| dc.contributor.author | Prasad, A. | |
| dc.contributor.author | Shrimali, M. D. | |
| dc.date.accessioned | 2018-03-28T06:49:13Z | |
| dc.date.available | 2018-03-28T06:49:13Z | |
| dc.date.issued | 2018 | |
| dc.identifier.citation | Kuznetsov, N., Leonov, G. A., Mokaev, T. N., Prasad, A., & Shrimali, M. D. (2018). Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system. <i>Nonlinear Dynamics</i>, <i>92</i>(2), 267-285. <a href="https://doi.org/10.1007/s11071-018-4054-z" target="_blank">https://doi.org/10.1007/s11071-018-4054-z</a> | |
| dc.identifier.other | CONVID_27887304 | |
| dc.identifier.other | TUTKAID_76730 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/57453 | |
| dc.description.abstract | The Rabinovich system, describing the process of interaction between waves in plasma, is considered. It is shown that the Rabinovich system can exhibit a hidden attractor in the case of multistability as well as a classical self-excited attractor. The hidden attractor in this system can be localized by analytical/numerical methods based on the continuation and perpetual points. The concept of finite-time Lyapunov dimension is developed for numerical study of the dimension of attractors. A conjecture on the Lyapunov dimension of self-excited attractors and the notion of exact Lyapunov dimension are discussed. A comparative survey on the computation of the finite-time Lyapunov exponents and dimension by different algorithms is presented. An adaptive algorithm for studying the dynamics of the finite-time Lyapunov dimension is suggested. Various estimates of the finite-time Lyapunov dimension for the hidden attractor and hidden transient chaotic set in the case of multistability are given. | |
| dc.language.iso | eng | |
| dc.publisher | Springer | |
| dc.relation.ispartofseries | Nonlinear Dynamics | |
| dc.subject.other | hidden attractors | |
| dc.subject.other | perpetual points | |
| dc.subject.other | finite-time Lyapunov exponents | |
| dc.subject.other | adaptive algorithms | |
| dc.subject.other | Lyapunov dimension | |
| dc.title | Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201803271862 | |
| dc.contributor.laitos | Informaatioteknologian tiedekunta | fi |
| dc.contributor.laitos | Faculty of Information Technology | en |
| dc.contributor.oppiaine | Tietotekniikka | fi |
| dc.contributor.oppiaine | Mathematical Information Technology | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.date.updated | 2018-03-27T12:17:10Z | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 267-285 | |
| dc.relation.issn | 0924-090X | |
| dc.relation.numberinseries | 2 | |
| dc.relation.volume | 92 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © the Authors, 2018. This is an open access article distributed under the terms of the Creative Commons License. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1007/s11071-018-4054-z |
Files in this item
This item appears in the following Collection(s)
Except where otherwise noted, this item's license is described as © the Authors, 2018. This is an open access article distributed under the terms of the Creative Commons License.