Chaoskontrolle

  • H. Benner, C.-U. Choe, K. Höhne, C. v. Loewenich, H. Shirahama and W. Just: Observing global properties of time-delayed feedback control in electronic circuit in: 'Handbook of Chaos Control (2nd Edition)', E.Schöll, H.G. Schuster (eds.), Wiley-VCH, Weinheim 2008, pp 559-573
    ISBN 978-3-527-40605-0
  • K. Höhne, H. Shirahama, C.-U. Choe, H. Benner, K. Pyragas, and W. Just: Global properties in an experimental realisation of time-delayed feedback control with unstable control loop, Phys. Rev. Lett. 98, 214102, (2007)
    doi: 10.1103/PhysRevLett.98.214102
  • C.-U. Choe, V. Flunkert, Ph. Hövel, H. Benner and E. Schöll: Conversion of stability in systems close to a Hopf bifurcation by time-delayed coupling Phys. Rev. E 75, 046206, (2007)
    doi: 10.1103/PhysRevLett.98.214102
  • Chol-Ung Choe, Klaus Höhne, Hartmut Benner and Yuri S. Kivshar: Chaos suppression in the parametrically driven Lorenz system, Phys. Rev. E 72, 036206 (2005)
    doi: 10.1103/PhysRevE.72.036206
  • K. Pyragas, V. Pyragas, H. Benner: Delayed feedback control of dynamical systems at a subcritical Hopf bifurcation, Phys. Rev. E 70, 056222 (2004)
    doi: 10.1103/PhysRevE.70.056222
  • C. v. Loewenich, H. Benner, W. Just: Experimental relevance of global properties of time-delayed feedback control, Phys. Rev. Lett. 93, 174101 (2004)
    doi: 10.1103/PhysRevLett.93.174101
  • W. Just, H. Benner, C. v. Loewenich: On global properties of time-delayed feedback control: weakly nonlinear analysis, Physica D 199, 33-44 (2004)
    doi: 10.1016/j.physd.2004.08.002
  • W. Just, H. Benner, E. Schöll: Control of chaos by time-delayed feedback: survey of theoretical and experimental aspects (inv.), Advances in Solid State Physics 43, Berlin, Heidelberg: Springer 2003, pp.589 – 604
    doi: 10.1007/b12017
  • W. Just, H. Benner, E. Reibold: Theoretical and experimental aspects of chaos control by time-delayed feedback (inv.), Chaos 13 (1), 259-266 (2003)
    doi:10.1063/1.1496955
  • H. Benner, W. Just: Control of chaos by time-delayed feedback in high-power ferromagnetic resonance experiments (inv.), J. Korean Phys. Soc. 40, 1046-50 (2002)
    abstract
  • H. Benner: Chaos control of spin-wave excitations in ferrites (inv.), in Proc. of ICF-8, 18-21 Sept 2000, Kyoto (Japan), pp.815-819 (2001)
  • W. Just, E. Reibold, H. Benner: Time-delayed feedback control: theory and application (inv.), in Proc. of the 5th Experimental Chaos Conf., June 1999, Orlando, Ed. M. Ding, W. Ditto, Al Osborne, L. Pecora, M. Spano, World Scientific Singapore 2001, pp.67-80
    ISBN 981-02-4561-0
  • W. Just, E. Reibold, K. Kacperski, P. Fronczak, J. Holyst, H. Benner: Influence of stable exponents on time-delayed feedback control, Phys. Rev. E 61, 5045-5056 (2000)
    doi:10.1103/PhysRevE.61.5045
  • E. Reibold: Kontrolle chaotischer Spindynamik mittels zeitverzögerter Rückkopplung, Ph.D. thesis (in German), Darmstadt University of Technology (2000)
  • W. Just, E. Reibold, H. Benner, K. Kacperski, P. Fronczak, J. Holyst: Limits of time-delayed feedback control, Phys. Lett. A 254 (3-4), 158-164 (1999)
    doi: 10.1016/S0375-9601(99)00113-9
  • W. Just, D. Reckwerth, E. Reibold, H. Benner: Influence of control loop latency on time-delayed feedback control, Phys. Rev. E 59 (3), 2826-30 (1999)
    doi: 10.1103/PhysRevE.59.2826
  • W. Just, D. Reckwerth, J. Möckel, E. Reibold, H. Benner: Delayed feedback control of periodic orbits in autonomous systems, Phys. Rev. Lett. 81, 562 (1998)
    doi: 10.1103/PhysRevLett.81.562
  • H. Benner, E. Reibold: Chaos control in spin systems, in: 'Handbook of Chaos Control', H.G. Schuster (ed.), Wiley-VCH, Weinheim 1999, pp. 563-589
    ISBN 352-72-9436-8
  • W. Just, T. Bernard, M. Ostheimer, E. Reibold, H. Benner: Mechanism of time-delayed feedback control, Phys. Rev. Lett. 78 (2), 203 (1997)
    doi: 10.1103/PhysRevLett.78.203
  • T. Bernard, R. Henn, W. Just, E. Reibold, F. Rödelsperger, H. Benner: Suppressing and controlling chaos in spin-wave instabilities, in: NATO ASI Series 'Nonlinear Microwave Signal Processing: Towards a New Range of Devices', R. Marcelli and S. Nikitov (eds.), Dordrecht: Kluwer 1996, pp. 381-408
  • R. Henn, F. Rödelsperger, H. Benner: Controlling unstable periodic orbits due to OGY in a spin-wave experiment, J. Magn. Magn. Mater. 140-144, 1935-36 (1995)
    doi: 10.1016/0304-8853(94)00715-2
  • F. Rödelsperger, Y.S. Kivshar, H. Benner: Route out of chaos by HF parametric perturbations in spin-wave instabilities, J. Magn. Magn. Mater. 140-144, 1953-54 (1995)
    doi: 10.1016/0304-8853(94)00720-9
  • F. Rödelsperger, Y.S. Kivshar, H. Benner: Reshaping-induced chaos suppression, Phys. Rev. E 51, 869-72 (1995)
    doi: 10.1103/PhysRevE.51.869
  • H. Benner, R. Henn, F. Rödelsperger, G. Wiese: Analyzing and controlling chaos in spin-wave instabilities (Invited paper), Izvestiya VUZ 'Applied Nonlinear Dynamics' (Saratov) Vol. 3(1) pp.32-51 (1995)
  • Yu.S. Kivshar, F. Rödelsperger, H. Benner: Suppression of chaos by nonresonant parametric perturbations, Phys. Rev. E 49, 319 (1994)
    doi: 10.1103/PhysRevE.49.319
  • R. Henn, F. Rödelsperger, H. Benner: Controlling unstable periodic orbits and hyperbolic fixed points in spinwave turbulence, Proc. XXVI Congress Ampere on Magnetic Resonance, Athen 1992, p. 371