Efficient spectral domain technique for the frequency locking analysis of nonlinear oscillators
. After discussing an implementation of the harmonic balance technique that enables the efficient determination of the limit cycles for a nonlinear autonomous dynamical system, we consider the frequency locking of a set of oscillators that is studied by means of a proper extension of the aforementio...
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| Veröffentlicht in: | European physical journal plus 2018-07, Vol.133 (7), p.246, Article 246 |
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| creator | Bonnin, M. Traversa, F. L. Bonani, F. |
| description | .
After discussing an implementation of the harmonic balance technique that enables the efficient determination of the limit cycles for a nonlinear autonomous dynamical system, we consider the frequency locking of a set of oscillators that is studied by means of a proper extension of the aforementioned approach. Harmonic balance is also used for the numerical computation of the Floquet exponents and eigenvectors of the frequency locked limit cycle, thus enabling the assessment of its stability properties. The proposed technique is applied to the study of the frequency locking properties of a set of coupled Chua’s oscillators as a function of several parameters. |
| doi_str_mv | 10.1140/epjp/i2018-12076-0 |
| format | Article |
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After discussing an implementation of the harmonic balance technique that enables the efficient determination of the limit cycles for a nonlinear autonomous dynamical system, we consider the frequency locking of a set of oscillators that is studied by means of a proper extension of the aforementioned approach. Harmonic balance is also used for the numerical computation of the Floquet exponents and eigenvectors of the frequency locked limit cycle, thus enabling the assessment of its stability properties. The proposed technique is applied to the study of the frequency locking properties of a set of coupled Chua’s oscillators as a function of several parameters.</description><identifier>ISSN: 2190-5444</identifier><identifier>EISSN: 2190-5444</identifier><identifier>DOI: 10.1140/epjp/i2018-12076-0</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Applied and Technical Physics ; Atomic ; Complex Systems ; Condensed Matter Physics ; Eigenvectors ; Focus Point on Systems and Security: Advanced Methods with Chaos and Complexity ; Frequency distribution ; Frequency locking ; Mathematical and Computational Physics ; Molecular ; Numerical analysis ; Optical and Plasma Physics ; Oscillators ; Pacemakers ; Physics ; Physics and Astronomy ; Regular Article ; Simulation ; Stability analysis ; Theoretical</subject><ispartof>European physical journal plus, 2018-07, Vol.133 (7), p.246, Article 246</ispartof><rights>Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018</rights><rights>Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-c179a7ab02f571c0bf88b535f33dffb487c3e2f1e566b6f86697aded674de1fa3</citedby><cites>FETCH-LOGICAL-c319t-c179a7ab02f571c0bf88b535f33dffb487c3e2f1e566b6f86697aded674de1fa3</cites><orcidid>0000-0002-9106-563X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1140/epjp/i2018-12076-0$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2919717577?pq-origsite=primo$$EHTML$$P50$$Gproquest$$H</linktohtml><link.rule.ids>314,776,780,21367,27901,27902,33721,41464,42533,43781,51294</link.rule.ids></links><search><creatorcontrib>Bonnin, M.</creatorcontrib><creatorcontrib>Traversa, F. L.</creatorcontrib><creatorcontrib>Bonani, F.</creatorcontrib><title>Efficient spectral domain technique for the frequency locking analysis of nonlinear oscillators</title><title>European physical journal plus</title><addtitle>Eur. Phys. J. Plus</addtitle><description>.
After discussing an implementation of the harmonic balance technique that enables the efficient determination of the limit cycles for a nonlinear autonomous dynamical system, we consider the frequency locking of a set of oscillators that is studied by means of a proper extension of the aforementioned approach. Harmonic balance is also used for the numerical computation of the Floquet exponents and eigenvectors of the frequency locked limit cycle, thus enabling the assessment of its stability properties. The proposed technique is applied to the study of the frequency locking properties of a set of coupled Chua’s oscillators as a function of several parameters.</description><subject>Applied and Technical Physics</subject><subject>Atomic</subject><subject>Complex Systems</subject><subject>Condensed Matter Physics</subject><subject>Eigenvectors</subject><subject>Focus Point on Systems and Security: Advanced Methods with Chaos and Complexity</subject><subject>Frequency distribution</subject><subject>Frequency locking</subject><subject>Mathematical and Computational Physics</subject><subject>Molecular</subject><subject>Numerical analysis</subject><subject>Optical and Plasma Physics</subject><subject>Oscillators</subject><subject>Pacemakers</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Regular Article</subject><subject>Simulation</subject><subject>Stability analysis</subject><subject>Theoretical</subject><issn>2190-5444</issn><issn>2190-5444</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp9kEFLAzEQhYMoWGr_gKeA57WZTXazOUqpWih40XPIZpM2dZusyfbQf2_aCnpyLm8G3hseH0L3QB4BGJmbYTfMXUmgKaAkvC7IFZqUIEhRMcau_-y3aJbSjuRhAphgEySX1jrtjB9xGoweo-pxF_bKeTwavfXu62CwDRGP26zR5NPrI-6D_nR-g5VX_TG5hIPFPvjeeaMiDkm7vldjiOkO3VjVJzP70Sn6eF6-L16L9dvLavG0LjQFMRYauFBctaS0FQdNWts0bUUrS2lnbcsarqkpLZiqrtvaNnUtuOpMV3PWGbCKTtHD5e8QQ-6YRrkLh5jbJVkKEBx4xXl2lReXjiGlaKwcotureJRA5ImlPLGUZ5byzFKSHKKXUMpmvzHx9_U_qW9LmXto</recordid><startdate>20180701</startdate><enddate>20180701</enddate><creator>Bonnin, M.</creator><creator>Traversa, F. 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L. ; Bonani, F.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-c179a7ab02f571c0bf88b535f33dffb487c3e2f1e566b6f86697aded674de1fa3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Applied and Technical Physics</topic><topic>Atomic</topic><topic>Complex Systems</topic><topic>Condensed Matter Physics</topic><topic>Eigenvectors</topic><topic>Focus Point on Systems and Security: Advanced Methods with Chaos and Complexity</topic><topic>Frequency distribution</topic><topic>Frequency locking</topic><topic>Mathematical and Computational Physics</topic><topic>Molecular</topic><topic>Numerical analysis</topic><topic>Optical and Plasma Physics</topic><topic>Oscillators</topic><topic>Pacemakers</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Regular Article</topic><topic>Simulation</topic><topic>Stability analysis</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bonnin, M.</creatorcontrib><creatorcontrib>Traversa, F. 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After discussing an implementation of the harmonic balance technique that enables the efficient determination of the limit cycles for a nonlinear autonomous dynamical system, we consider the frequency locking of a set of oscillators that is studied by means of a proper extension of the aforementioned approach. Harmonic balance is also used for the numerical computation of the Floquet exponents and eigenvectors of the frequency locked limit cycle, thus enabling the assessment of its stability properties. The proposed technique is applied to the study of the frequency locking properties of a set of coupled Chua’s oscillators as a function of several parameters.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1140/epjp/i2018-12076-0</doi><orcidid>https://orcid.org/0000-0002-9106-563X</orcidid></addata></record> |
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| ispartof | European physical journal plus, 2018-07, Vol.133 (7), p.246, Article 246 |
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| language | eng |
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| subjects | Applied and Technical Physics Atomic Complex Systems Condensed Matter Physics Eigenvectors Focus Point on Systems and Security: Advanced Methods with Chaos and Complexity Frequency distribution Frequency locking Mathematical and Computational Physics Molecular Numerical analysis Optical and Plasma Physics Oscillators Pacemakers Physics Physics and Astronomy Regular Article Simulation Stability analysis Theoretical |
| title | Efficient spectral domain technique for the frequency locking analysis of nonlinear oscillators |
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