The generalization of modal subspaces in the complex domain
1969 ◽
Vol 65
(3)
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pp. 731-740
Keyword(s):
The Real
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The purpose of this paper is to present the concept of ‘modal subspaces’ for systems of coupled non-linear autonomous homogeneous second-order differential equations of the complex variables z1, z2. This development is an extension of the previous paper, entitled ‘Modal subspaces in the complex domain’, by Atkinson and Swann (6), which dealt with a pair of coupled non-linear autonomous homogeneous second-order differential equations of the formDifferentiation is with respect to a real variable t and ajk and bjk are constants which may be complex: n is any positive integer: f1 and f2 are the real and imaginary parts respectively of g1 and g2 are real and imaginary parts respectively of and zj = xj + iyj (j = 1, 2).
2015 ◽
Vol 10
(6)
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pp. 1-8
1975 ◽
Vol 77
(1)
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pp. 159-169
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1992 ◽
Vol 120
(3-4)
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pp. 231-243
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1951 ◽
Vol 47
(4)
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pp. 752-755
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2007 ◽
Vol 241
(1)
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pp. 160-183
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Keyword(s):
1982 ◽
Vol 25
(3)
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pp. 291-295
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1951 ◽
Vol 47
(4)
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pp. 741-751
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1969 ◽
Vol 5
(2)
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pp. 283-306
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