27.12.2012 Views

Oscillations, Waves, and Interactions - GWDG

Oscillations, Waves, and Interactions - GWDG

Oscillations, Waves, and Interactions - GWDG

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Complex dynamics of nonlinear systems 433<br />

[54] D. Engster <strong>and</strong> U. Parlitz, ’Local <strong>and</strong> Cluster Weighted Modeling for Time Series Prediction’,<br />

in H<strong>and</strong>book of Time Series Analysis, edited by B. Schelter, M. Winterhalder,<br />

<strong>and</strong> J. Timmer (WILEY-VCH Verlag, Weinheim, 2006), p. 39.<br />

[55] U. Parlitz <strong>and</strong> C. Merkwirth, ‘Prediction of spatiotemporal time series based on reconstructed<br />

local states’, Phys. Rev. Lett. 84, 1890 (2000).<br />

[56] G. Langer <strong>and</strong> U. Parlitz, ‘Modelling parameter dependence from time series’, Phys.<br />

Rev. E 70, 056217 (2004).<br />

[57] U. Parlitz, A. Hornstein, D. Engster, F. Al-Bender, V. Lampaert, T. Tjahjowidodo,<br />

S. D. Fassois, D. Rizos, C. X. Wong, K. Worden, <strong>and</strong> G. Manson, ‘Identification of<br />

pre-sliding friction dynamics’, Chaos 14, 420 (2004).<br />

[58] A. Pikovsky, M. Rosenblum, <strong>and</strong> J. Kurths, Synchronization - A universal concept in<br />

nonlinear science (Cambridge University Press, Cambridge UK, 2001).<br />

[59] U. Parlitz, A. Pikovsky, M. Rosenblum, <strong>and</strong> J. Kurths, ‘Schwingungen im Gleichtakt’,<br />

Physik Journal 5, Nr. 10, 33 (2006).<br />

[60] M. Abel, S. Bergweiler, <strong>and</strong> R. Gerhard-Multhaupt, ‘Synchronization of organ pipes:<br />

experimental observations <strong>and</strong> modeling’, J. Acoust. Soc. Am. 119, 2475 (2006).<br />

[61] E. V. Appleton, ‘The automatic synchronization of triode oscillator’, Proc. Cambridge<br />

Phil. Soc. (Math. <strong>and</strong> Phys. Sci.) 21, 231 (1922).<br />

[62] B. van der Pol, ‘Forced oscillations in a cicuit with non-linear resistance’, Phil. Mag.<br />

3, 64 (1927).<br />

[63] R. Adler, ‘A study of locking phenomena inoscillators’, Proc. IRE 34, 351 (1946).<br />

Reprinted in: Proc. IEEE 61, 1380 (1973).<br />

[64] H. Fujisaka <strong>and</strong> T. Yamada, ‘Stability theory of synchronized motion in coupledoscillator<br />

systems’, Prog. Theor. Phys. 69, 32 (1983).<br />

[65] A. S. Pikovsky, ’On the interaction of strange attractors’, Z. Physik B 55, 149 (1984).<br />

[66] L. Pecora <strong>and</strong> T. Carroll, ‘Synchronization in chaotic systems’, Phys. Rev. Lett. 64,<br />

821 (1990).<br />

[67] L. Kocarev <strong>and</strong> U. Parlitz, ‘General approach for chaotic synchronization with applications<br />

to communication’, Phys. Rev. Lett. 74, 5028 (1995).<br />

[68] U. Parlitz <strong>and</strong> L. Kocarev, ‘Synchronization of Chaotic Systems’, in H<strong>and</strong>book of<br />

Chaos Control, edited by H. G. Schuster (Wiley-VCH Verlag, Weinheim, 1999), p.<br />

271.<br />

[69] U. Parlitz, L. Junge, W. Lauterborn, <strong>and</strong> L. Kocarev, ‘Experimental observation of<br />

phase synchronization’, Phys. Rev. E 54, 2116 (1996).<br />

[70] M. Rosenblum, A. Pikosvky, <strong>and</strong> J. Kurths, ‘Phase synchronization of chaotic oscillators’,<br />

Phys. Rev. Lett. 76, 1804 (1996).<br />

[71] U. Parlitz, L. Kocarev, T. Stojanovski, <strong>and</strong> H. Preckel, ‘Encoding messages using<br />

chaotic synchronization’, Phys. Rev. E 53, 4351 (1996).<br />

[72] I. Wedekind <strong>and</strong> U. Parlitz, ’Experimental observation of synchronization <strong>and</strong> antisynchronization<br />

of chaotic low-frequency-fluctuations in external cavity semiconductor<br />

lasers’, Int. J. Bifurcation Chaos 11, 1141 (2001).<br />

[73] I. Wedekind <strong>and</strong> U. Parlitz, ‘Synchronization <strong>and</strong> antisynchronization of chaotic power<br />

drop-outs <strong>and</strong> jump-ups of coupled semiconductor lasers’, Phys. Rev. E 66, 026218<br />

(2002).<br />

[74] N. F. Rulkov,, M. M. Sushchik, L. S. Tsimring, <strong>and</strong> H. D. I. Abarbanel, ‘Generalized<br />

synchronization of chaos in directionally coupled chaotic systems’, Phys. Rev. E 51,<br />

980 (1995).<br />

[75] L. Kocarev <strong>and</strong> U. Parlitz, ‘Generalized synchronization, predictability <strong>and</strong> equivalence<br />

of uni-directionally coupled dynamical systems’, Phys. Rev. Lett. 76, 1816<br />

(1996).

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!