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Hamilton-Jacobi Method for Mechanical Systems on Time Scales
Joint Authors
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-23
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper presents the Hamilton-Jacobi method for integrating the equations of motion of mechanical systems on time scales.
We give the criterion and four basic forms of canonical transformation on time scales.
Also, various examples are given to illustrate the role played by a generating function in the canonical transformation.
By choosing an appropriate generating function, we construct the Hamilton-Jacobi equation on time scales and prove the Jacobi theorem on time scales.
An example for an Emden-Fowler type equation is discussed to show the application of the method.
American Psychological Association (APA)
Zhai, Xiang-Hua& Zhang, Yi. 2018. Hamilton-Jacobi Method for Mechanical Systems on Time Scales. Complexity،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1135996
Modern Language Association (MLA)
Zhai, Xiang-Hua& Zhang, Yi. Hamilton-Jacobi Method for Mechanical Systems on Time Scales. Complexity No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1135996
American Medical Association (AMA)
Zhai, Xiang-Hua& Zhang, Yi. Hamilton-Jacobi Method for Mechanical Systems on Time Scales. Complexity. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1135996
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1135996