On products of skew rotations
Let \(H_1(p,q)\), \(H_2(p,q)\) be two time-independent Hamiltonians with one degree of freedom and \(\{S_1^t\}\), \(\{S_2^t\}\) be the one-parametric groups of shifts along the orbits of Hamiltonian systems generated by \(H_1\), \(H_2\). In some problems of population genetics there appear the trans...
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Published in | arXiv.org |
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Main Authors | , , , , |
Format | Paper |
Language | English |
Published |
Ithaca
Cornell University Library, arXiv.org
05.12.2011
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Subjects | |
Online Access | Get full text |
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Summary: | Let \(H_1(p,q)\), \(H_2(p,q)\) be two time-independent Hamiltonians with one degree of freedom and \(\{S_1^t\}\), \(\{S_2^t\}\) be the one-parametric groups of shifts along the orbits of Hamiltonian systems generated by \(H_1\), \(H_2\). In some problems of population genetics there appear the transformations of the plane having the form \(T^{(h_1,h_2)}=S^{h_2}_2\cdot S_1^{h_1}\) under some conditions on \(H_1\), \(H_2\). We study in this paper asymptotical properties of trajectories of \(T^{(h_1,h_2)}\). |
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ISSN: | 2331-8422 |