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Author |
Botella-Soler, V.; Oteo, J.A.; Ros, J.; Glendinning, P. |
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Title |
Lyapunov exponent and topological entropy plateaus in piecewise linear maps |
Type |
Journal Article |
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Year |
2013 |
Publication |
Journal of Physics A |
Abbreviated Journal |
J. Phys. A |
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Volume |
46 |
Issue  |
12 |
Pages |
125101 - 26pp |
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Abstract |
We consider a two-parameter family of piecewise linear maps in which the moduli of the two slopes take different values. We provide numerical evidence of the existence of some parameter regions in which the Lyapunov exponent and the topological entropy remain constant. Analytical proof of this phenomenon is also given for certain cases. Surprisingly however, the systems with that property are not conjugate as we prove by using kneading theory. |
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Address |
[Botella-Soler, V.] IST Austria, A-3400 Klosterneuburg, Austria, Email: vbsoler@ist.ac.at; |
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Publisher |
Iop Publishing Ltd |
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English |
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ISSN |
1751-8113 |
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Notes |
WOS:000316058200010 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
1353 |
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Author |
Casas, F.; Oteo, J.A.; Ros, J. |
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Title |
Unitary transformations depending on a small parameter |
Type |
Journal Article |
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Year |
2012 |
Publication |
Proceedings of the Royal Society A |
Abbreviated Journal |
Proc. R. Soc. A |
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Volume |
468 |
Issue |
2139 |
Pages |
685-700 |
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Keywords |
perturbation theory; quantum mechanics; unitary transformation; Magnus expansion |
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Abstract |
We formulate a unitary perturbation theory for quantum mechanics inspired by the Lie-Deprit formulation of canonical transformations. The original Hamiltonian is converted into a solvable one by a transformation obtained through a Magnus expansion. This ensures unitarity at every order in a small parameter. A comparison with the standard perturbation theory is provided. We work out the scheme up to order ten with some simple examples. |
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Address |
[Oteo, J. A.; Ros, J.] Univ Valencia, Dept Fis Teor, E-46100 Valencia, Spain, Email: rosj@uv.es |
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Publisher |
Royal Soc |
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English |
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Edition |
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ISSN |
1364-5021 |
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Conference |
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Notes |
WOS:000300185400005 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
893 |
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Author |
Botella-Soler, V.; Castelo, J.M.; Oteo, J.A.; Ros, J. |
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Title |
Bifurcations in the Lozi map |
Type |
Journal Article |
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Year |
2011 |
Publication |
Journal of Physics A |
Abbreviated Journal |
J. Phys. A |
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Volume |
44 |
Issue |
30 |
Pages |
305101 - 14pp |
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Keywords |
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Abstract |
We study the presence in the Lozi map of a type of abrupt order-to-order and order-to-chaos transitions which are mediated by an attractor made of a continuum of neutrally stable limit cycles, all with the same period. |
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Address |
[Botella-Soler, V; Ros, J] Univ Valencia, CSIC, Dept Fis Teor, E-46100 Valencia, Spain, Email: vicente.botella@uv.es |
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Publisher |
Iop Publishing Ltd |
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English |
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ISSN |
1751-8113 |
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Conference |
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Notes |
WOS:000292386000006 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
679 |
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Author |
Blanes, S.; Casas, F.; Oteo, J.A.; Ros, J. |
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Title |
A pedagogical approach to the Magnus expansion |
Type |
Journal Article |
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Year |
2010 |
Publication |
European Journal of Physics |
Abbreviated Journal |
Eur. J. Phys. |
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Volume |
31 |
Issue |
4 |
Pages |
907-918 |
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Keywords |
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Abstract |
Time-dependent perturbation theory as a tool to compute approximate solutions of the Schrodinger equation does not preserve unitarity. Here we present, in a simple way, how the Magnus expansion (also known as exponential perturbation theory) provides such unitary approximate solutions. The purpose is to illustrate the importance and consequences of such a property. We suggest that the Magnus expansion may be introduced to students in advanced courses of quantum mechanics. |
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Address |
[Blanes, S.] Univ Politecn Valencia, Inst Matemat Multidisciplinar, E-46022 Valencia, Spain, Email: serblaza@imm.upv.es |
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Publisher |
Iop Publishing Ltd |
Place of Publication |
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Language |
English |
Summary Language |
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Series Volume |
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Edition |
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ISSN |
0143-0807 |
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Notes |
ISI:000279393800024 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
259 |
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Author |
Barenboim, G.; Oteo, J.A. |
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Title |
One pendulum to run them all |
Type |
Journal Article |
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Year |
2013 |
Publication |
European Journal of Physics |
Abbreviated Journal |
Eur. J. Phys. |
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Volume |
34 |
Issue |
4 |
Pages |
1049-1065 |
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Keywords |
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Abstract |
The analytical solution for the three-dimensional linear pendulum in a rotating frame of reference is obtained, including Coriolis and centrifugal accelerations, and expressed in terms of initial conditions. This result offers the possibility of treating Foucault and Bravais pendula as trajectories of the same system of equations, each of them with particular initial conditions. We compare them with the common two-dimensional approximations in textbooks. A previously unnoticed pattern in the three-dimensional Foucault pendulum attractor is presented. |
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Address |
[Barenboim, G.; Oteo, J. A.] Univ Valencia, Dept Fis Teor, E-46100 Valencia, Spain, Email: gabriela.barenboim@uv.es; |
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Corporate Author |
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Thesis |
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Publisher |
Iop Publishing Ltd |
Place of Publication |
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Editor |
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Language |
English |
Summary Language |
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Original Title |
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Series Editor |
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Series Title |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
0143-0807 |
ISBN |
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Medium |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:000320768100026 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
1518 |
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