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On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems
Abstract
Introduction. Let m be the number of degrees of freedom of a linear conservative dynamical systenm and let the point (q1, q2,9 * , q'Mn Pl p2, . . . p'mt) of the phase space be denoted by x = (xl, x2, , x.2M). A system of 2m ordinary differential equations of the first order, which are homogeneous, linear and do not contain t explicitly, is a canonical system if, and only if, there exists a symmetric matrix A, such that the differential equations may be written in the form (i) Bdx/dt =Ax,
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Cited by
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Liu, J., Yuan, H., Lu, X.-M., & Wang, X. (2020) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8121/ab5d4d · Cited by 802
Entanglement in continuous-variable systems: recent advances and current perspectives
Adesso, G., & Illuminati, F. (2007) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/40/28/s01 · Cited by 744
Entanglement properties of the harmonic chain
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Metadata
- Authors
- Williamson, J.
- Venue
- American Journal of Mathematics
- Publisher
- JSTOR
- Published
- 1936-01
- Volume
- 58
- Issue
- 1
- Pages
- 141
- ISSN
- 0002-9327 (ISSN-L)
- OpenAlex
- W2333041090
- Cited by
- 849
- References
- 0
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
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