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Dynamical instability of linear canonical systems

Published online by Cambridge University Press:  09 April 2009

W. A. Coppel  and
A. Howe
W. A. Coppel
Affiliation:
Department of Mathematics Institute of Advanced Studies The Australian National UniversityCanberra, A.C.T.
A. Howe
Affiliation:
Department of Mathematics Institute of Advanced Studies The Australian National UniversityCanberra, A.C.T.
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In the present paper we obtain first approximation formulae for the regions of dynamical instability of linear canonical systems. These formulae are analogous to the formulae for Hamiltonian systems stated by Krein and Jakubovič [5] and proved by Pittel' and Juzefovič [8]. Special cases were considered by Malkin [7] and Jakubovič [3]. Related papers are Hale [2] and Jakubovič [4]. However, our method differs from the methods used by these authors and seems to us to be both simpler and more general.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 7 , Issue 2 , May 1967 , pp. 247 - 251
Copyright
Copyright © Australian Mathematical Society 1967

References

[1]Coppel, W. A. and Howe, A., ‘On the stability of linear canonical systems with periodic coefficients’, J. Austral. Math. Soc. 5 (1965), 169–195.Google Scholar
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