000 03159nam a22004695i 4500
001 978-3-642-20250-6
003 DE-He213
005 20140220083800.0
007 cr nn 008mamaa
008 110625s2011 gw | s |||| 0|eng d
020 _a9783642202506
_9978-3-642-20250-6
024 7 _a10.1007/978-3-642-20250-6
_2doi
050 4 _aQC174.7-175.36
072 7 _aPHS
_2bicssc
072 7 _aPHDT
_2bicssc
072 7 _aSCI055000
_2bisacsh
082 0 4 _a621
_223
100 1 _aFlunkert, Valentin.
_eauthor.
245 1 0 _aDelay-Coupled Complex Systems
_h[electronic resource] :
_band Applications to Lasers /
_cby Valentin Flunkert.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
300 _aXIV, 182 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Theses
505 0 _aStabilization of Odd-Number Orbits -- Time Delayed Feedback Control -- Counterexample -- Odd-Number Orbits Close to a Fold Bifurcation -- Towards Stabilization of Odd-Number Orbits in Experiments -- Stabilization with Symmetric Feedback Matrices -- Application to Laser Systems -- Stabilization of Anti-Phase Orbits -- Synchronization of Delay Coupled Systems -- Structure of the Master Stability Function for Large Delay -- Lang Kobayashi Laser Equations -- Necessary Conditions for Synchronization of Lasers -- Bubbling -- Summary and Conclusions -- Appendix -- Index.
520 _aThis thesis deals with the effects of time-delay in complex nonlinear systems and in particular with its applications in complex networks, and relates it to control theory and nonlinear optics. Delays arise naturally in networks of coupled systems due to finite signal propagation speeds and are thus a key issue in many areas of physics, biology, medicine, and technology. Synchronization phenomena in these networks play an important role, e.g., in the context of learning, cognitive and pathological states in the brain, for secure communication with chaotic lasers or gene regulation. The work includes both novel results on the control of complex dynamics by time-delayed feedback and new fundamental insights into the interplay of delay and synchronization. One of the most interesting results here is a solution to the problem of complete synchronization in general networks with large coupling delay, i.e., large distances between the nodes, by giving a universal classification of networks which has a wide range of interdisciplinary applications.
650 0 _aPhysics.
650 1 4 _aPhysics.
650 2 4 _aStatistical Physics, Dynamical Systems and Complexity.
650 2 4 _aTheoretical, Mathematical and Computational Physics.
650 2 4 _aLaser Technology, Photonics.
650 2 4 _aControl.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642202490
830 0 _aSpringer Theses
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-20250-6
912 _aZDB-2-PHA
999 _c107746
_d107746