Results 61 to 70 of about 436,415 (124)

Quantum chaos in the spectrum of operators used in Shor's algorithm

, 2006
We provide compelling evidence for the presence of quantum chaos in the unitary part of Shor's factoring algorithm. In particular we analyze the spectrum of this part after proper desymmetrization and show that the fluctuations of the eigenangles as well
A. J. Lichtenberg, A. Peres, A. Schnirelman, Arul Lakshminarayan, C. Godreche, F. Haake, J. P. Allouche, Krishnendu Maity, M. A. Nielsen, M. L. Mehta, N. Meenakshisundaram, V. I. Arnold   +11 more
core   +1 more source

Nonholonomic Constraints with Fractional Derivatives

, 2006
We consider the fractional generalization of nonholonomic constraints defined by equations with fractional derivatives and provide some examples.
Bloch A, Caputo M, Caputo M, Caputo M, Carpinteri A, Chetaev N G, Dobronravov V V, Dzherbashyan M M, Erdelyi A, Frenkel D, George M Zaslavsky, Gorenflo R, Hilfer R, Korabel N, Le Mehaute A, Lutzen J, Montroll E W, Nigmatullin R R, Nose S, Oldham K B, Pars L A, Podlubny I, Rumiantsev V V, Samko S G, Tarasov V E, Tarasov V E, Tarasov V E, Tarasov V E, Tarasov V E, Tarasov V E, Tarasov V E, Vasily E Tarasov, Zaslavsky G M, Zaslavsky G M   +33 more
core   +2 more sources

On general relation between quantum ergodicity and fidelity of quantum dynamics

, 2001
General relation is derived which expresses the fidelity of quantum dynamics, measuring the stability of time evolution to small static variation in the hamiltonian, in terms of ergodicity of an observable generating the perturbation as defined by its ...
A. Peres, F. Leyvraz, G. Casati, G. Jona-Lasinio, G. Usaj, H. Narnhofer, H.M. Pastawski, H.M. Pastawski, H.W. Capel, P. Jacquod, P.R. Levstein, R. Schack, R.A. Jalabert, T. Prosen, T. Prosen, T. Prosen, T. Prosen, T. Prosen, Th. Niemeijer, Tomaž Prosen, X. Zotos   +20 more
core   +1 more source

Fidelity amplitude of the scattering matrix in microwave cavities

, 2004
The concept of fidelity decay is discussed from the point of view of the scattering matrix, and the scattering fidelity is introduced as the parametric cross-correlation of a given S-matrix element, taken in the time domain, normalized by the ...
Berry M V, Berry M V, Brigham E O, Gorin T, Gorin T Seligman T H Weaver R L, H-J Stöckmann, Mahaux C, Nielsen M A, Prosen T, R Schäfer, Schanz H, Schäfer R, Schäfer R Stöckmann H J Gorin T Seligman T H, Stöckmann H J, Stöckmann H J, T Gorin, T H Seligman   +16 more
core   +2 more sources

Targetability of chaotic sets with small parameter perturbations [PDF]

arXiv, 2010
In this paper targetability of chaotic sets with small controls is discussed by virtue of some results of geometric control theory. It is proved that given a chaotic set {\Lambda}, it is possible to steer a orbit in to every final state in some neighborhood of the chaotic set by suitable small perturbations to the parameters of the system under the Lie
arxiv  

Ulam method for the Chirikov standard map

, 2010
We introduce a generalized Ulam method and apply it to symplectic dynamical maps with a divided phase space. Our extensive numerical studies based on the Arnoldi method show that the Ulam approximant of the Perron-Frobenius operator on a chaotic ...
B. Chirikov, B.V. Chirikov, B.V. Chirikov, B.V. Chirikov, B.V. Chirikov, C. Schütte, C.F.F. Karney, D. L. Shepelyansky, D. Terhesiu, D.L. Shepelyansky, G. Cristadoro, G. Froyland, G. Froyland, G. Froyland, J. Ding, J. Meiss, J. Meiss, J.M. Greene, J.M. Greene, K. M. Frahm, L. Ermann, L. Ermann, M. Blank, R. Artuso, R.S. MacKay, R.S. MacKay, R.S. MacKay, S. Aubry, T.-Y. Li, Z. Kaufmann, Z. Kovács   +30 more
core   +3 more sources

Correction to: The Melnikov method for detecting chaotic dynamics in a planar hybrid piecewise-smooth system with a Switching Manifold

Nonlinear dynamics, 2022
Shuangbao Li, Xiaojun Gong, Wei Zhang, Y. Hao   +3 more
semanticscholar   +1 more source

Zero delay synchronization of chaos in coupled map lattices

, 2007
We show that two coupled map lattices that are mutually coupled to one another with a delay can display zero delay synchronization if they are driven by a third coupled map lattice.
A. Knoblauch, A. Pikovsky, H. Swadlow, M. S. Santhanam, S. C. Manrubia, Siddharth Arora, V. N. Murthy, W. J. Freeman   +7 more
core   +1 more source

Chaotic System on the Super Riemann Surface [PDF]

arXiv, 1993
A chaotic system of a nonrelativistic superparticle moving freely on the super Riemann surface (SRS) of genus $g \geq 2$ is reviewed.
arxiv  

Tsallis non-extensive statistics, intermittent turbulence, SOC and chaos in the solar plasma. Part two: Solar Flares dynamics

, 2012
In the second part of this study and similarly with part one, the nonlinear analysis of the solar flares index is embedded in the non-extensive statistical theory of Tsallis [1].
Abramenko, Arimitsu, Arimitsu, Arimitsu, Arimitsu, Arimitsu, Arimitsu, Binney, Chang, Chang, Chang, Chen, de Moura, Elsner, Ferri, Frisch, Frisch, G.P. Pavlos, Grassberger, Kolmogorov, Krommes, L.P. Karakatsanis, Lyra, M.N. Xenakis, Marsch, Meneveau, Meneveau, Pavlos, Pavlos, Pavlos, Pavlos, Sano, Shlesinger, Strauss, Takens, Tarasov, Tarasov, Tarasov, Tarasov, Theiler, Theiler, Tsallis, Tsallis, Tsallis, Tsallis, Zaslavsky, Zelenyi, Zhang   +47 more
core   +1 more source