Prof. Benner
Nonlinear Spin Dynamics

The main research areas of the Benner Group included, i.a., chaos control and chaotic syncrhonisation, stochastic resonance, envelope solitons in magnetic films, spin wave instabilities and relaxation in polycristalline ferrites

Nonlinear systems that usually show chaotic dynamics can be controlled by means of small pertubations, i.e. the previously observed irregular behaviour can be changed to a periodic motion. The numerical control methods are usually limited to a dynamical range of > 1ms. Using fast electronic circuits, we can develop and employ sucessfully control algorithms that can be used for fast systems that are usually encountered in solid state physics applications. Theoretical considerations of these algorithms show us the constraints for succesful control.

Keywords:

  • Chaos
  • Control
  • Spinwave
  • Diode resonator

Please consider the German version of this page.

Stochastic resonance is the counterintuitive effect of signal amplification through an increased noise level. A weak (usually periodic) signal is injected in a nonlinear system. On the addition of noise, the signal to noise level at the system's output increases, also, the distribution of residence times in the states of bi- or multistable systems shows a characteristic pattern. In experiments on YIG samples (Yttrium-Iron-Garnet) and different nonlinear circuits, the residence times shows this characteristic behaviour even in the absence of noise, when instead the internal fast chaotic dynamics of the system are used. This variety of stochastic resonance is called “noise-free” stochastic resonance, sine the roule of the noise is fulfilled by the intermittent chaotic dynamics of the system. Depending on the type of intermittency, the systems can show different sorts of stochastic resonance phenomena, e.g. stochastic multiresonance. Using model systems, we investigate these phenomena and compare the results with theoretical predictions.

Key words:

  • Stochastic Resonance
  • Chaos
  • Spinwaves
  • Intermittency

Please consider the German version of this page.

Please consider the German version of this page.

Please consider the German version of this page.

Experiments in soft matter physics often deal with complex systems and the combination of different experimental methods is necessary to arrive at results.

Our group is specialized on scattering experiments with different probes (X-rays, neutrons, light) which we apply and try to advance. In addition to that we maintain instruments for polymer characterization and for the measurements that are specific to certain research projects.

X-Ray scattering

We do small-angle-X-ray-scattering in two different set-ups.

A pinhole system with a sample chamber that allows a wide range of experimental conditions combined with a 2d detector.

A classical Kratky compact camera for experiments on isotropically scattering systems.

X-ray diffractometry and –reflectometry is done with a Bruker D8 Advance diffractometer. In particular we do reflectometry on the liquid-gas interface.

Publications

U. Hoeppe, H. Benner: Microstructure-related relaxation and spin-wave linewidth in polycrystalline ferromagnets, Phys. Rev. B 71, 144403 (2005)

doi:10.1103/PhysRevB.71.144403

U. Hoeppe, H. Benner: Influence of microstructure on relaxation processes and high power properties in polycrystalline YIG, phys. stat. sol. (a) 195 (2), 447-452 (2003)

doi:10.1002/pssa.200305937

U. Hoeppe: Smart measurement setup for spin-wave linewidth, IEEE Transactions on Magnetics 38 (5), 3126-28 (2002)

doi:10.1109/TMAG.2002.802490

J. Becker, F. Rödelsperger, Th. Weyrauch, H. Benner, W. Just, A. Cenys: Intermittency in spin-wave instabilities, Phys. Rev. E 59 (2), 1622-32 (1999)

doi:10.1103/PhysRevE.59.1622

H. Benner: Auto-oscillations and chaos for microwave signals in ferrite single crystals (inv.), J. Phys. IV France 7 (1997) Colloque C1, Suppl. J. de Physique III, C1-383-86

J. Phys. IV France 7 (1997) Colloque C1

Th. Walter, F. Rödelsperger, H. Benner: Delayed bifurcations at the first-order Suhl threshold, Z. Angew. Math. Phys. 47 (4), 515-26 (1996)

doi:10.1007/BF00914868

F. Rödelsperger, A. Cenys, H. Benner: On-off intermittency in spin-wave instabilities, Phys. Rev. Lett. 75 (13) 2594-97 (1995)

doi:10.1103/PhysRevLett.75.2594

H.-A. Krug von Nidda, G. Wiese, H. Benner: Critical modes at the first-order Suhl instability in YIG spheres, J. Magn. Magn. Mater. 140-144, 1997-98 (1995)

doi:10.1016/0304-8853(94)00715-2

G. Wiese, H. Benner: Multistability of parametrically excited spin waves, in: 'High frequency processes in magnetic materials', Chapter 8, G. Srinivasan, A.N. Slavin (eds.), Singapore, New Jersey: World Scientific Publ. (1995), pp. 284-317

ISBN 981-02-1816-8

H.-A. Krug von Nidda, G. Wiese, H. Benner: Fine structure and critical modes at the first-order Suhl instability in YIG spheres, Z. Phys. B 95, 55 (1994)

doi:10.1007/BF01316843

F. Rödelsperger, O. von Geisau, H. Benner, J. Pelzl: Imaging of magnetostatic modes in YIG spheres by photothermally modulated ferromagnetic resonance, Proc. XXVI Congress Ampere on Magnetic Resonance, Athen 1992, p. 116

F. Rödelsperger, T. Weyrauch, H. Benner: Different types of intermittency observed in transverse-pumped spin-wave instabilities, J. Magn. Magn. Mater. 104-107, 1075 (1992)

doi:10.1016/0304-8853(92)90496-B

G. Wiese, H.-A. Krug von Nidda, H. Benner: Temperature-induced multistability in spin-wave turbulence, J. Magn. Magn. Mater. 104-107, 1072 (1992)

doi:10.1016/0304-8853(92)90495-A

H. Benner, F. Rödelsperger, G. Wiese: Chaotic dynamics in spin-wave instabilities, in: Nonlinear dynamics in solids, H. Thomas (ed.), Berlin, Heidelberg: Springer 1992, p. 129-55

ISBN 354-05-3569-1

G. Wiese, H.-A. Krug von Nidda, H. Benner: Temperature-induced nonlinearity at parametrically excited spin-waves, Europhys. Lett. 15, 585 (1991)

H. Benner, F. Rödelsperger, G. Wiese: Multistability and chaos in transverse-pumped spin-wave instabilities (Invited Paper), Proc. XXV Congress Ampere on Magnetic Resonance and Related Phenomena, M. Mehring, J.U. von Schütz, H.C. Wolf (eds.), Stuttgart 1990, p.374

G. Wiese, H. Benner: Novel coupling mechanism in spin-wave instabilities, Proc. XXV Congress Ampere on Magnetic Resonance and Related Phenomena, M. Mehring, J.U. von Schütz, H.C. Wolf (eds.), Stuttgart 1990, p. 171

G. Wiese, H. Benner: Multistability and chaos by parametric excitation of longwave modes in a YIG sphere, Z. Phys. B 79, 119 (1990)

doi:10.1007/BF01387833

  • 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
  • T. Stemler, J. P. Werner, H. Benner, W. Just, “Stochastic Modelling of Intermittency”, Phil. Trans. R. Soc. A 368, 273-284 (2010)
    doi: 10.1098/rsta.2009.0196
  • Thomas Jüngling, Thomas Stemler, Wolfram Just and Hartmut Benner: Noise-free stochastic resonance at an interior crisis, Phys. Rev. E 77 036216 (2008)
    doi: 10.1103/PhysRevE.77.036216
  • J. P. Werner, T. Stemler, H. Benner: Crisis and stochastic resonance in Shinriki's circuit, Physica D 237 859 (2008)
    doi: 10.1016/j.physd.2007.11.009
  • T. Stemler, J. P. Werner, H. Benner, W. Just: Stochastic Modeling of Experimental Chaotic Time Series, Phys. Rev. Lett. 98 No. 4, 044102 (2007)
    doi: 10.1103/PhysRevLett.98.044102
  • T. Stemler, M. Scheuermann, H. Benner: Spatiotemporal stochastic resonance in an array of Schmitt triggers, Proc. SPIE 5471, 244-250 (2004)
    doi: 10.1117/12.547246
  • K. Urbanowicz, J.A. Holyst, T. Stemler, H. Benner: Noise reduction in chaotic time series by a local projection with nonlinear constraints, Acta Phys. Pol. B 35, 2175-2197 (2004)
    abstract
  • A. Krawiecki, T. Stemler: Stochastic resonance with spatiotemporal signal controlled by time delays, Phys. Rev. E 68, 061101 (2003)
    doi: 10.1103/PhysRevE.68.061101
  • A. Krawiecki, E. Reibold, H. Benner, A. Sukiennicki: Simulations of Noise-Free Stochastic Resonance in Spin-Wave Chaos, Acta Phys. Pol. A 97, 975-978 (2000)
    abstract
  • E. Reibold, W. Just, J. Becker, H. Benner: Stochastic resonance without noise, Proc. of the 4th Experimental Chaos Conf., Singapoore: World Scientific 1998, pp. 229-234
    ISBN 981-02-3743-X
  • E. Reibold, W. Just, J. Becker, H. Benner: Stochastic resonance in chaotic spin-wave dynamics, Phys. Rev. Lett. 78 No. 16, 3101 (1997)
    doi: 10.1103/PhysRevLett.78.3101

Contact

  Name Contact
Apl. Prof. Dr. Hartmut Benner
  Name Contact
Dipl.-Phys. Klaus Höhne
Dr. Thomas Jüngling
Dr. Clemens von Loewenich
Dr. Johannes Werner
IPKM Research