Capture and escape from resonance in the dynamics of the rigid body in viscous medium
Summary The problem of capture and escape from resonance generally arises when certain nonlinear integrable Hamiltonian systems are subjected to non-Hamiltonian perturbation. The essential features of this problem are independent of the nature of the system under consideration. As an example we exam...
Ausführliche Beschreibung
Autor*in: |
Sidorenko, V. V. [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
1994 |
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Anmerkung: |
© Springer-Verlag New York Inc 1994 |
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Übergeordnetes Werk: |
Enthalten in: Journal of nonlinear science - Springer-Verlag, 1991, 4(1994), 1 vom: Dez., Seite 35-57 |
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Übergeordnetes Werk: |
volume:4 ; year:1994 ; number:1 ; month:12 ; pages:35-57 |
Links: |
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DOI / URN: |
10.1007/BF02430626 |
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Katalog-ID: |
OLC2057903311 |
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10.1007/BF02430626 doi (DE-627)OLC2057903311 (DE-He213)BF02430626-p DE-627 ger DE-627 rakwb eng 530 510 VZ 11 ssgn Sidorenko, V. V. verfasserin aut Capture and escape from resonance in the dynamics of the rigid body in viscous medium 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag New York Inc 1994 Summary The problem of capture and escape from resonance generally arises when certain nonlinear integrable Hamiltonian systems are subjected to non-Hamiltonian perturbation. The essential features of this problem are independent of the nature of the system under consideration. As an example we examine in detail the abovementioned resonance phenomena in rotational motions of a rigid body in a viscous medium. Our analysis is based on the averaging method. Conditions for the existence of the motions captured into resonance are derived. Scattering of the phase trajectories is estimated in the case of passage through resonance without capture. Enthalten in Journal of nonlinear science Springer-Verlag, 1991 4(1994), 1 vom: Dez., Seite 35-57 (DE-627)130975990 (DE-600)1072984-7 (DE-576)025193295 0938-8974 nnns volume:4 year:1994 number:1 month:12 pages:35-57 https://doi.org/10.1007/BF02430626 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2018 GBV_ILN_2057 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4103 GBV_ILN_4310 GBV_ILN_4323 AR 4 1994 1 12 35-57 |
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10.1007/BF02430626 doi (DE-627)OLC2057903311 (DE-He213)BF02430626-p DE-627 ger DE-627 rakwb eng 530 510 VZ 11 ssgn Sidorenko, V. V. verfasserin aut Capture and escape from resonance in the dynamics of the rigid body in viscous medium 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag New York Inc 1994 Summary The problem of capture and escape from resonance generally arises when certain nonlinear integrable Hamiltonian systems are subjected to non-Hamiltonian perturbation. The essential features of this problem are independent of the nature of the system under consideration. As an example we examine in detail the abovementioned resonance phenomena in rotational motions of a rigid body in a viscous medium. Our analysis is based on the averaging method. Conditions for the existence of the motions captured into resonance are derived. Scattering of the phase trajectories is estimated in the case of passage through resonance without capture. Enthalten in Journal of nonlinear science Springer-Verlag, 1991 4(1994), 1 vom: Dez., Seite 35-57 (DE-627)130975990 (DE-600)1072984-7 (DE-576)025193295 0938-8974 nnns volume:4 year:1994 number:1 month:12 pages:35-57 https://doi.org/10.1007/BF02430626 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2018 GBV_ILN_2057 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4103 GBV_ILN_4310 GBV_ILN_4323 AR 4 1994 1 12 35-57 |
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10.1007/BF02430626 doi (DE-627)OLC2057903311 (DE-He213)BF02430626-p DE-627 ger DE-627 rakwb eng 530 510 VZ 11 ssgn Sidorenko, V. V. verfasserin aut Capture and escape from resonance in the dynamics of the rigid body in viscous medium 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag New York Inc 1994 Summary The problem of capture and escape from resonance generally arises when certain nonlinear integrable Hamiltonian systems are subjected to non-Hamiltonian perturbation. The essential features of this problem are independent of the nature of the system under consideration. As an example we examine in detail the abovementioned resonance phenomena in rotational motions of a rigid body in a viscous medium. Our analysis is based on the averaging method. Conditions for the existence of the motions captured into resonance are derived. Scattering of the phase trajectories is estimated in the case of passage through resonance without capture. Enthalten in Journal of nonlinear science Springer-Verlag, 1991 4(1994), 1 vom: Dez., Seite 35-57 (DE-627)130975990 (DE-600)1072984-7 (DE-576)025193295 0938-8974 nnns volume:4 year:1994 number:1 month:12 pages:35-57 https://doi.org/10.1007/BF02430626 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2018 GBV_ILN_2057 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4103 GBV_ILN_4310 GBV_ILN_4323 AR 4 1994 1 12 35-57 |
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10.1007/BF02430626 doi (DE-627)OLC2057903311 (DE-He213)BF02430626-p DE-627 ger DE-627 rakwb eng 530 510 VZ 11 ssgn Sidorenko, V. V. verfasserin aut Capture and escape from resonance in the dynamics of the rigid body in viscous medium 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag New York Inc 1994 Summary The problem of capture and escape from resonance generally arises when certain nonlinear integrable Hamiltonian systems are subjected to non-Hamiltonian perturbation. The essential features of this problem are independent of the nature of the system under consideration. As an example we examine in detail the abovementioned resonance phenomena in rotational motions of a rigid body in a viscous medium. Our analysis is based on the averaging method. Conditions for the existence of the motions captured into resonance are derived. Scattering of the phase trajectories is estimated in the case of passage through resonance without capture. Enthalten in Journal of nonlinear science Springer-Verlag, 1991 4(1994), 1 vom: Dez., Seite 35-57 (DE-627)130975990 (DE-600)1072984-7 (DE-576)025193295 0938-8974 nnns volume:4 year:1994 number:1 month:12 pages:35-57 https://doi.org/10.1007/BF02430626 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2018 GBV_ILN_2057 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4103 GBV_ILN_4310 GBV_ILN_4323 AR 4 1994 1 12 35-57 |
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10.1007/BF02430626 doi (DE-627)OLC2057903311 (DE-He213)BF02430626-p DE-627 ger DE-627 rakwb eng 530 510 VZ 11 ssgn Sidorenko, V. V. verfasserin aut Capture and escape from resonance in the dynamics of the rigid body in viscous medium 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag New York Inc 1994 Summary The problem of capture and escape from resonance generally arises when certain nonlinear integrable Hamiltonian systems are subjected to non-Hamiltonian perturbation. The essential features of this problem are independent of the nature of the system under consideration. As an example we examine in detail the abovementioned resonance phenomena in rotational motions of a rigid body in a viscous medium. Our analysis is based on the averaging method. Conditions for the existence of the motions captured into resonance are derived. Scattering of the phase trajectories is estimated in the case of passage through resonance without capture. Enthalten in Journal of nonlinear science Springer-Verlag, 1991 4(1994), 1 vom: Dez., Seite 35-57 (DE-627)130975990 (DE-600)1072984-7 (DE-576)025193295 0938-8974 nnns volume:4 year:1994 number:1 month:12 pages:35-57 https://doi.org/10.1007/BF02430626 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2018 GBV_ILN_2057 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4103 GBV_ILN_4310 GBV_ILN_4323 AR 4 1994 1 12 35-57 |
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Summary The problem of capture and escape from resonance generally arises when certain nonlinear integrable Hamiltonian systems are subjected to non-Hamiltonian perturbation. The essential features of this problem are independent of the nature of the system under consideration. As an example we examine in detail the abovementioned resonance phenomena in rotational motions of a rigid body in a viscous medium. Our analysis is based on the averaging method. Conditions for the existence of the motions captured into resonance are derived. Scattering of the phase trajectories is estimated in the case of passage through resonance without capture. © Springer-Verlag New York Inc 1994 |
abstractGer |
Summary The problem of capture and escape from resonance generally arises when certain nonlinear integrable Hamiltonian systems are subjected to non-Hamiltonian perturbation. The essential features of this problem are independent of the nature of the system under consideration. As an example we examine in detail the abovementioned resonance phenomena in rotational motions of a rigid body in a viscous medium. Our analysis is based on the averaging method. Conditions for the existence of the motions captured into resonance are derived. Scattering of the phase trajectories is estimated in the case of passage through resonance without capture. © Springer-Verlag New York Inc 1994 |
abstract_unstemmed |
Summary The problem of capture and escape from resonance generally arises when certain nonlinear integrable Hamiltonian systems are subjected to non-Hamiltonian perturbation. The essential features of this problem are independent of the nature of the system under consideration. As an example we examine in detail the abovementioned resonance phenomena in rotational motions of a rigid body in a viscous medium. Our analysis is based on the averaging method. Conditions for the existence of the motions captured into resonance are derived. Scattering of the phase trajectories is estimated in the case of passage through resonance without capture. © Springer-Verlag New York Inc 1994 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2057903311</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230331113448.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s1994 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/BF02430626</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2057903311</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)BF02430626-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">530</subfield><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">11</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Sidorenko, V. V.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Capture and escape from resonance in the dynamics of the rigid body in viscous medium</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1994</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">© Springer-Verlag New York Inc 1994</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Summary The problem of capture and escape from resonance generally arises when certain nonlinear integrable Hamiltonian systems are subjected to non-Hamiltonian perturbation. The essential features of this problem are independent of the nature of the system under consideration. As an example we examine in detail the abovementioned resonance phenomena in rotational motions of a rigid body in a viscous medium. Our analysis is based on the averaging method. Conditions for the existence of the motions captured into resonance are derived. 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