作者: Omniscient 時(shí)間: 2025-3-21 21:14
Towards Stabilization of Odd-Number Orbits in Experimentsase can naturally introduce a rotation "as reported by (Fiedler et?al. Phys. Rev. E 77:066207, 2008)" (see Sect. 7.1). But what happens, for example, if we have only access to one dynamical variable? We will give some answers to this question in the following "as reported by (Flunkert and Sch?ll. To作者: 招人嫉妒 時(shí)間: 2025-3-22 03:05 作者: 聰明 時(shí)間: 2025-3-22 04:54 作者: palette 時(shí)間: 2025-3-22 09:19 作者: 去掉 時(shí)間: 2025-3-22 15:56 作者: 去掉 時(shí)間: 2025-3-22 20:45 作者: Dignant 時(shí)間: 2025-3-22 21:55
Lebensführung in der Schwangerschaftcondition on the oscillator’s nonlinearity, which is necessary and sufficient to find coupling parameters for successful stabilization. We prove these conditions and review previous results on the stabilization of odd-number orbits by time-delayed feedback. Finally, we illustrate the results with numerical simulations.作者: 協(xié)定 時(shí)間: 2025-3-23 04:47 作者: PTCA635 時(shí)間: 2025-3-23 08:17
Medikamente in Schwangerschaft und Stillzeitif small perturbations of the systems initial condition are amplified resulting in an unpredictable dynamical behavior (see .). Stable synchronization of two systems on the other hand occurs when deviations between the system states decay with time (negative transversal Lyapunov exponent).作者: 溫室 時(shí)間: 2025-3-23 13:44 作者: 偽善 時(shí)間: 2025-3-23 16:33 作者: 野蠻 時(shí)間: 2025-3-23 21:41
Towards Stabilization of Odd-Number Orbits in Experimentsxperiments, in order to stabilize odd-number orbits, and in particular subcritical Hopf orbits. One reason why the counterexample is not immediately applicable, is the special choice of the gain matrix, i.e., a feedback term, which only involves . and not the complex conjugate .. This gain matrix co作者: 哎呦 時(shí)間: 2025-3-24 01:48
Stabilization with Symmetric Feedback Matricesents as it corresponds to the situation, where one measures a variable and applies the control signal to the dynamical equation of the same variable. We will now discuss a method to overcome this problem, i.e., to stabilize the UPO with symmetric feedback matrices.作者: Kinetic 時(shí)間: 2025-3-24 04:12
Application to Laser Systemse seminal paper of Lang and Kobayashi. Various delayed feedback methods have since then been used, such as all-optical feedback, phase-conjugate feedback, optoelectronic feedback, polarization rotated feedback and filtered feedback .作者: EPT 時(shí)間: 2025-3-24 09:42 作者: Corroborate 時(shí)間: 2025-3-24 14:45 作者: 陪審團(tuán)每個(gè)人 時(shí)間: 2025-3-24 16:26
Structure of the Master Stability Function for Large Delayunction (MSF). Recent works have started to investigate the MSF for networks with coupling delays. Time delay effects play an important role in realistic networks. For example, the finite propagation time of light between coupled semiconductor lasers significantly influence the dynamics.作者: 顛簸下上 時(shí)間: 2025-3-24 22:23
Pydelay: A Simulation Packageave) "as reported by(Flunkert and Sch?ll, pydelay—a python tool for solving delay differential equations. . (2009))". This way it is easy to quickly implement a system of DDEs but you still have the speed of C. The Homepage can be found here: http://pydelay.sourceforge.net/作者: 眼界 時(shí)間: 2025-3-25 02:11 作者: escalate 時(shí)間: 2025-3-25 04:33 作者: 滴注 時(shí)間: 2025-3-25 08:59
Valentin FlunkertReports important progress in the control of complex dynamics.Gives fundamental insights into the interplay of delay and synchronization.Nominated as an outstanding contribution by the Technical Unive作者: 慌張 時(shí)間: 2025-3-25 14:47
Springer Theseshttp://image.papertrans.cn/d/image/264940.jpg作者: 減震 時(shí)間: 2025-3-25 17:49 作者: 花束 時(shí)間: 2025-3-25 23:46
Odd-Number Orbits Close to a Fold Bifurcationcritical Hopf bifurcation can be stabilized by time-delayed feedback control. Although this is a very generic example, the question arises whether this situation close to the Hopf bifurcation is special or if odd-number orbits born from other bifurcations can be stabilized, too.作者: 愛哭 時(shí)間: 2025-3-26 00:16
Stabilization with Symmetric Feedback Matricesents as it corresponds to the situation, where one measures a variable and applies the control signal to the dynamical equation of the same variable. We will now discuss a method to overcome this problem, i.e., to stabilize the UPO with symmetric feedback matrices.作者: harpsichord 時(shí)間: 2025-3-26 06:23
Application to Laser Systemse seminal paper of Lang and Kobayashi. Various delayed feedback methods have since then been used, such as all-optical feedback, phase-conjugate feedback, optoelectronic feedback, polarization rotated feedback and filtered feedback .作者: Servile 時(shí)間: 2025-3-26 12:24 作者: 萬花筒 時(shí)間: 2025-3-26 14:16 作者: 歌曲 時(shí)間: 2025-3-26 20:18
K. Marzusch,S. Pildner von Steinburg(UPOs) and unstable steady states in dynamical systems. It has since then been successfully applied to a plethora of different systems, for instance, to spatially extended systems and even noise-driven systems for reviews see E. Sch?ll (2008)作者: 做方舟 時(shí)間: 2025-3-26 22:58 作者: 長處 時(shí)間: 2025-3-27 03:41
E. Ostermayer,M. Schelling,K. Chalubinskixperiments, in order to stabilize odd-number orbits, and in particular subcritical Hopf orbits. One reason why the counterexample is not immediately applicable, is the special choice of the gain matrix, i.e., a feedback term, which only involves . and not the complex conjugate .. This gain matrix co作者: Keshan-disease 時(shí)間: 2025-3-27 08:49
Frühschwangerschaft: klinische Aspekteents as it corresponds to the situation, where one measures a variable and applies the control signal to the dynamical equation of the same variable. We will now discuss a method to overcome this problem, i.e., to stabilize the UPO with symmetric feedback matrices.作者: Mystic 時(shí)間: 2025-3-27 11:02 作者: 構(gòu)成 時(shí)間: 2025-3-27 13:36 作者: 隱語 時(shí)間: 2025-3-27 21:30 作者: 溫和女人 時(shí)間: 2025-3-27 23:15 作者: Bucket 時(shí)間: 2025-3-28 05:30 作者: 阻塞 時(shí)間: 2025-3-28 08:35 作者: 元音 時(shí)間: 2025-3-28 12:22 作者: 使苦惱 時(shí)間: 2025-3-28 17:34
E. Kucera,R. Lehner,P. Hussleincritical Hopf bifurcation can be stabilized by time-delayed feedback control. Although this is a very generic example, the question arises whether this situation close to the Hopf bifurcation is special or if odd-number orbits born from other bifurcations can be stabilized, too.作者: AUGER 時(shí)間: 2025-3-28 18:56
Frühschwangerschaft: klinische Aspekteents as it corresponds to the situation, where one measures a variable and applies the control signal to the dynamical equation of the same variable. We will now discuss a method to overcome this problem, i.e., to stabilize the UPO with symmetric feedback matrices.作者: 消息靈通 時(shí)間: 2025-3-29 01:21 作者: 感染 時(shí)間: 2025-3-29 05:54
Die Gedichte Anakreons und der Sappho Odenunction (MSF). Recent works have started to investigate the MSF for networks with coupling delays. Time delay effects play an important role in realistic networks. For example, the finite propagation time of light between coupled semiconductor lasers significantly influence the dynamics.作者: Tempor 時(shí)間: 2025-3-29 07:24
Die Gehorsamspflicht der Verwaltungsorganeave) "as reported by(Flunkert and Sch?ll, pydelay—a python tool for solving delay differential equations. . (2009))". This way it is easy to quickly implement a system of DDEs but you still have the speed of C. The Homepage can be found here: http://pydelay.sourceforge.net/作者: Harness 時(shí)間: 2025-3-29 13:58 作者: CHANT 時(shí)間: 2025-3-29 18:35
K. Marzusch,S. Pildner von SteinburgIn this section we will construct a counterexample to the odd-number theorem, i.e., a system with an odd-number orbit, where the orbit can be stabilized by time-delayed feedback control. The counterexample consists of the normal form of a subcritical Hopf bifurcation作者: 領(lǐng)先 時(shí)間: 2025-3-29 19:47 作者: 本土 時(shí)間: 2025-3-30 01:15 作者: 我不怕犧牲 時(shí)間: 2025-3-30 06:39 作者: 兇兆 時(shí)間: 2025-3-30 09:37 作者: clarify 時(shí)間: 2025-3-30 12:53 作者: Limpid 時(shí)間: 2025-3-30 19:32
IntroductionDelays are ubiquitous in nature and occur, for instance, in coupled systems, in biological processes, neural systems, or in control problems. Time delays arise in these systems due to finite signal propagation and processing speeds, latency effects or are introduced deliberately via external control loops.作者: 和平主義者 時(shí)間: 2025-3-31 00:36
CounterexampleIn this section we will construct a counterexample to the odd-number theorem, i.e., a system with an odd-number orbit, where the orbit can be stabilized by time-delayed feedback control. The counterexample consists of the normal form of a subcritical Hopf bifurcation作者: Pde5-Inhibitors 時(shí)間: 2025-3-31 03:38
Lang Kobayashi Laser EquationsCoupled semiconductor lasers will be the main application of chaos synchronization that we consider. We will therefore now introduce the dynamical laser equations作者: GROWL 時(shí)間: 2025-3-31 07:55
Necessary Conditions for Synchronization of LasersPerfect synchronization is only possible if the SM is invariant. There are other forms of . such as . occurring, for instance, when the systems are non-identical, but we will restrict our analysis to perfect synchronization and a very weak form of generalized synchronization in lasers.作者: 沒有準(zhǔn)備 時(shí)間: 2025-3-31 12:33
BubblingThe stability of a synchronized state is determined by the largest transversal Lyapunov exponent (TLE) arising from the particular dynamics in the SM and the variational equation associated with transverse perturbations, as we have discussed in ..作者: 公共汽車 時(shí)間: 2025-3-31 14:48 作者: 不愛防注射 時(shí)間: 2025-3-31 18:04 作者: Allowance 時(shí)間: 2025-4-1 00:51
