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Lie symmetries and their inverse problems of nonholonomic Hamilton systems with fractional derivatives.

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Title: Lie symmetries and their inverse problems of nonholonomic Hamilton systems with fractional derivatives.
Authors: Fu, Jing-Li1 sqfujingli@163.com, Fu, Li-Ping1, Chen, Ben-Yong2, Sun, Yi2
Source: Physics Letters A. Jan2016, Vol. 380 Issue 1/2, p15-21. 7p.
Subjects: Equations of motion, Nonholonomic dynamical systems, Differentiable dynamical systems, Mechanics (Physics), Hamilton's equations
Abstract: This letter focuses on studying Lie symmetries and their inverse problems of the fractional nonholonomic Hamilton systems. Based on the invariance of the fractional motion equations, constraint equations and virtual displacement restrictive conditions of the systems under the infinitesimal transformation with respect to the time and generalized coordinates, the Lie symmetries and conserved quantities of the fractional nonholonomic Hamilton system are discussed and the corresponding definitions, determining equations, limiting equations, additional restricting equations and Lie theorems are given. The letter also systematically studies inverse theorems of Lie symmetries of the fractional nonholonomic Hamilton systems. Finally, an example is discussed to illustrate theses results. [ABSTRACT FROM AUTHOR]
Copyright of Physics Letters A is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 110854413
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PubType: Academic Journal
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  Data: Lie symmetries and their inverse problems of nonholonomic Hamilton systems with fractional derivatives.
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  Data: <searchLink fieldCode="JN" term="%22Physics+Letters+A%22">Physics Letters A</searchLink>. Jan2016, Vol. 380 Issue 1/2, p15-21. 7p.
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  Data: <searchLink fieldCode="DE" term="%22Equations+of+motion%22">Equations of motion</searchLink><br /><searchLink fieldCode="DE" term="%22Nonholonomic+dynamical+systems%22">Nonholonomic dynamical systems</searchLink><br /><searchLink fieldCode="DE" term="%22Differentiable+dynamical+systems%22">Differentiable dynamical systems</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanics+%28Physics%29%22">Mechanics (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Hamilton's+equations%22">Hamilton's equations</searchLink>
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  Data: This letter focuses on studying Lie symmetries and their inverse problems of the fractional nonholonomic Hamilton systems. Based on the invariance of the fractional motion equations, constraint equations and virtual displacement restrictive conditions of the systems under the infinitesimal transformation with respect to the time and generalized coordinates, the Lie symmetries and conserved quantities of the fractional nonholonomic Hamilton system are discussed and the corresponding definitions, determining equations, limiting equations, additional restricting equations and Lie theorems are given. The letter also systematically studies inverse theorems of Lie symmetries of the fractional nonholonomic Hamilton systems. Finally, an example is discussed to illustrate theses results. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Physics Letters A is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.physleta.2015.10.002
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      – Code: eng
        Text: English
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        PageCount: 7
        StartPage: 15
    Subjects:
      – SubjectFull: Equations of motion
        Type: general
      – SubjectFull: Nonholonomic dynamical systems
        Type: general
      – SubjectFull: Differentiable dynamical systems
        Type: general
      – SubjectFull: Mechanics (Physics)
        Type: general
      – SubjectFull: Hamilton's equations
        Type: general
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      – TitleFull: Lie symmetries and their inverse problems of nonholonomic Hamilton systems with fractional derivatives.
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            NameFull: Fu, Li-Ping
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            NameFull: Chen, Ben-Yong
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              M: 01
              Text: Jan2016
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              Y: 2016
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              Value: 380
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