Stabilization of Unstable Periodic Orbits of One-Dimensional Chaotic Maps
Abstract Methods have been recently developed for stabilization of periodic orbits that become unstable when the parameter crosses a certain value. However, in a typical case, one-parameter families of nonlinear maps produce periodic orbits that are unstable from the start. In this article, we propo...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Dernov, A. V. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2002 |
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| Schlagwörter: |
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| Anmerkung: |
© Plenum Publishing Corporation 2002 |
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| Übergeordnetes Werk: |
Enthalten in: Computational mathematics and modeling - Kluwer Academic Publishers-Plenum Publishers, 1990, 13(2002), 4 vom: Okt., Seite 352-357 |
|---|---|
| Übergeordnetes Werk: |
volume:13 ; year:2002 ; number:4 ; month:10 ; pages:352-357 |
| Links: |
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| DOI / URN: |
10.1023/A:1020126811378 |
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OLC2044588420 |
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| 520 | |a Abstract Methods have been recently developed for stabilization of periodic orbits that become unstable when the parameter crosses a certain value. However, in a typical case, one-parameter families of nonlinear maps produce periodic orbits that are unstable from the start. In this article, we propose a method for stabilization of such orbits in the one-dimensional case. Results are reported for stabilization of periodic orbits of a quadratic map. | ||
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10.1023/A:1020126811378 doi (DE-627)OLC2044588420 (DE-He213)A:1020126811378-p DE-627 ger DE-627 rakwb eng 004 VZ Dernov, A. V. verfasserin aut Stabilization of Unstable Periodic Orbits of One-Dimensional Chaotic Maps 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2002 Abstract Methods have been recently developed for stabilization of periodic orbits that become unstable when the parameter crosses a certain value. However, in a typical case, one-parameter families of nonlinear maps produce periodic orbits that are unstable from the start. In this article, we propose a method for stabilization of such orbits in the one-dimensional case. Results are reported for stabilization of periodic orbits of a quadratic map. Mathematical Modeling Computational Mathematic Periodic Orbit Industrial Mathematic Typical Case Enthalten in Computational mathematics and modeling Kluwer Academic Publishers-Plenum Publishers, 1990 13(2002), 4 vom: Okt., Seite 352-357 (DE-627)130898163 (DE-600)1043251-6 (DE-576)034187774 1046-283X nnns volume:13 year:2002 number:4 month:10 pages:352-357 https://doi.org/10.1023/A:1020126811378 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2012 AR 13 2002 4 10 352-357 |
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10.1023/A:1020126811378 doi (DE-627)OLC2044588420 (DE-He213)A:1020126811378-p DE-627 ger DE-627 rakwb eng 004 VZ Dernov, A. V. verfasserin aut Stabilization of Unstable Periodic Orbits of One-Dimensional Chaotic Maps 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2002 Abstract Methods have been recently developed for stabilization of periodic orbits that become unstable when the parameter crosses a certain value. However, in a typical case, one-parameter families of nonlinear maps produce periodic orbits that are unstable from the start. In this article, we propose a method for stabilization of such orbits in the one-dimensional case. Results are reported for stabilization of periodic orbits of a quadratic map. Mathematical Modeling Computational Mathematic Periodic Orbit Industrial Mathematic Typical Case Enthalten in Computational mathematics and modeling Kluwer Academic Publishers-Plenum Publishers, 1990 13(2002), 4 vom: Okt., Seite 352-357 (DE-627)130898163 (DE-600)1043251-6 (DE-576)034187774 1046-283X nnns volume:13 year:2002 number:4 month:10 pages:352-357 https://doi.org/10.1023/A:1020126811378 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2012 AR 13 2002 4 10 352-357 |
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10.1023/A:1020126811378 doi (DE-627)OLC2044588420 (DE-He213)A:1020126811378-p DE-627 ger DE-627 rakwb eng 004 VZ Dernov, A. V. verfasserin aut Stabilization of Unstable Periodic Orbits of One-Dimensional Chaotic Maps 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2002 Abstract Methods have been recently developed for stabilization of periodic orbits that become unstable when the parameter crosses a certain value. However, in a typical case, one-parameter families of nonlinear maps produce periodic orbits that are unstable from the start. In this article, we propose a method for stabilization of such orbits in the one-dimensional case. Results are reported for stabilization of periodic orbits of a quadratic map. Mathematical Modeling Computational Mathematic Periodic Orbit Industrial Mathematic Typical Case Enthalten in Computational mathematics and modeling Kluwer Academic Publishers-Plenum Publishers, 1990 13(2002), 4 vom: Okt., Seite 352-357 (DE-627)130898163 (DE-600)1043251-6 (DE-576)034187774 1046-283X nnns volume:13 year:2002 number:4 month:10 pages:352-357 https://doi.org/10.1023/A:1020126811378 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2012 AR 13 2002 4 10 352-357 |
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10.1023/A:1020126811378 doi (DE-627)OLC2044588420 (DE-He213)A:1020126811378-p DE-627 ger DE-627 rakwb eng 004 VZ Dernov, A. V. verfasserin aut Stabilization of Unstable Periodic Orbits of One-Dimensional Chaotic Maps 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2002 Abstract Methods have been recently developed for stabilization of periodic orbits that become unstable when the parameter crosses a certain value. However, in a typical case, one-parameter families of nonlinear maps produce periodic orbits that are unstable from the start. In this article, we propose a method for stabilization of such orbits in the one-dimensional case. Results are reported for stabilization of periodic orbits of a quadratic map. Mathematical Modeling Computational Mathematic Periodic Orbit Industrial Mathematic Typical Case Enthalten in Computational mathematics and modeling Kluwer Academic Publishers-Plenum Publishers, 1990 13(2002), 4 vom: Okt., Seite 352-357 (DE-627)130898163 (DE-600)1043251-6 (DE-576)034187774 1046-283X nnns volume:13 year:2002 number:4 month:10 pages:352-357 https://doi.org/10.1023/A:1020126811378 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2012 AR 13 2002 4 10 352-357 |
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Stabilization of Unstable Periodic Orbits of One-Dimensional Chaotic Maps |
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Abstract Methods have been recently developed for stabilization of periodic orbits that become unstable when the parameter crosses a certain value. However, in a typical case, one-parameter families of nonlinear maps produce periodic orbits that are unstable from the start. In this article, we propose a method for stabilization of such orbits in the one-dimensional case. Results are reported for stabilization of periodic orbits of a quadratic map. © Plenum Publishing Corporation 2002 |
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Abstract Methods have been recently developed for stabilization of periodic orbits that become unstable when the parameter crosses a certain value. However, in a typical case, one-parameter families of nonlinear maps produce periodic orbits that are unstable from the start. In this article, we propose a method for stabilization of such orbits in the one-dimensional case. Results are reported for stabilization of periodic orbits of a quadratic map. © Plenum Publishing Corporation 2002 |
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Abstract Methods have been recently developed for stabilization of periodic orbits that become unstable when the parameter crosses a certain value. However, in a typical case, one-parameter families of nonlinear maps produce periodic orbits that are unstable from the start. In this article, we propose a method for stabilization of such orbits in the one-dimensional case. Results are reported for stabilization of periodic orbits of a quadratic map. © Plenum Publishing Corporation 2002 |
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V.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Stabilization of Unstable Periodic Orbits of One-Dimensional Chaotic Maps</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2002</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Plenum Publishing Corporation 2002</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Methods have been recently developed for stabilization of periodic orbits that become unstable when the parameter crosses a certain value. However, in a typical case, one-parameter families of nonlinear maps produce periodic orbits that are unstable from the start. In this article, we propose a method for stabilization of such orbits in the one-dimensional case. Results are reported for stabilization of periodic orbits of a quadratic map.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical Modeling</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Computational Mathematic</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Periodic Orbit</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Industrial Mathematic</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Typical Case</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Computational mathematics and modeling</subfield><subfield code="d">Kluwer Academic Publishers-Plenum Publishers, 1990</subfield><subfield code="g">13(2002), 4 vom: Okt., Seite 352-357</subfield><subfield code="w">(DE-627)130898163</subfield><subfield code="w">(DE-600)1043251-6</subfield><subfield code="w">(DE-576)034187774</subfield><subfield code="x">1046-283X</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:13</subfield><subfield code="g">year:2002</subfield><subfield code="g">number:4</subfield><subfield code="g">month:10</subfield><subfield code="g">pages:352-357</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1023/A:1020126811378</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2006</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2012</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">13</subfield><subfield code="j">2002</subfield><subfield code="e">4</subfield><subfield code="c">10</subfield><subfield code="h">352-357</subfield></datafield></record></collection>
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