List of Publications / Wolfram Just

    1987

  1. G. Sauermann, W. Just, K.-P. Karmann, and Y. Zhang; Projection Operator Formulation for Second Order Response, Physica A 140 (1987) 597-611.

    1988

  2. W. Just and H. Sauermann; Ordinary Differential Equations for Nonlinear Stochastic Oscillators, Phys. Lett. A 131 (1988) 234-238.

    1989

  3. W. Just; Dynamics of the Stochastic Duffing Oscillator in Gaussian Approximation, Physica D 40 (1989) 311-330.

    1990

  4. W. Just; Stationary and Dynamic Solutions of Stochastic Relaxation Oscillators, Z. Phys. B 78 (1990) 513-525.
  5. W. Just; Analytical Treatment of Fluctuation Spectra at the Symmetry Breaking Chaos Transition, Phys. Lett. A bf 150 (1990) 362-368.

    1991

  6. W. Just and H. Fujisaka; General Derivation of Scaling Functions near q-Phase Transition Points, Phys. Lett. A 158 (1991) 385-390.
  7. W. Just and H. Fujisaka; Scaling Law of Thermodynamic Functions near Degeneracy Points of Eigenvalues, Proc. of NOLTA'91, Fukuoka/Japan (1991), p.143-146.

    1992

  8. W. Just; Projection Operator Approach to the Thermodynamic Formalism of Dynamical Systems, J. Stat. Phys. 67 (1992) 271-287.
  9. W. Just and H. Fujisaka; On the Scaling Laws of Higher-Order q-Phase Transitions, J. Phys. A 25 (1992) 3567-3592.

    1993

  10. W. Just and H. Fujisaka; Gibbs Measures and Power Spectra for Type I Intermittent Maps, Physica D 64 (1993) 98-120.
  11. T. Kobayashi, H. Fujisaka, and W. Just; Thermodynamics and Multicorrelations of Intermittent Dynamics, Phys. Rev. E 47 (1993) 3196-3205.
  12. W. Just, T. Kobayashi, and H. Fujisaka; Time Correlations of Intermittent Maps in the Non-Hyperbolic Phase, hys. Lett. A 180 (1993) 87-93.

    1994

  13. W. Just; On the Thermodynamic Approach Towards Time-Series Analysis, J. Phys. A 27 (1994) 3029-3049.
  14. W. Just; Bifurcations in Globally Coupled Shift Maps, Workshop on the Thermodynamic Formalism, Lavin/Schweiz (1994), Z. Naturforsch A 49 (1994) 1233-1234.

    1995

  15. W. Just; Globally Coupled Maps: Phase Transitions and Synchronization, Physica D 81 (1995) 317-340.
  16. W. Just; Bifurcations in Globally Coupled Map Lattices, J. Stat. Phys. 79 (1995) 429-449.

    1996

  17. T. Träxler, W. Just, and H. Sauermann; Dynamics of Homogeneous Magnetizations in Strong Transverse Driving Fields, Z. Phys. B 99 (1996) 285-295.
  18. G. Sauermann, T. Turschner, and W. Just; Selfconsistent Approximations in Mori's Theory, Physica A 225 (1996) 19-61.
  19. T. Bernard, R. Henn, W. Just, E. Reibold, F. Rödelsperger, and H. Benner; Suppressing and Controlling Chaos in Spin-Wave Instabilities, in Nonlinear Microwave Signal Processing: Towards a New Range of Devices, Ed. R. Marcelli, Kluwer Acad. Publ. 1996, p.373-400.

    1997

  20. W. Just, T. Bernard, M. Ostheimer, E. Reibold, and H. Benner; On the Mechanism of Time-Delayed Feedback Control, Phys. Rev. Lett. 78 (1997) 203-206.
  21. W. Just; On the Collective Motion in Globally Coupled Chaotic Systems, Phys. Rep. 290 (1997) 101-110.
  22. E. Reibold, W. Just, J. Becker, and H. Benner; Stochastic Resonance in Chaotic Spin-Wave Dynamics, Phys. Rev. Lett. 78 (1997) 3101-3104.
  23. H. Tominaga, H. Fujisaka, and W. Just; On-Off Intermittency associated with the Breakdown of One-dimensional Motion, J. Phys. Soc. Jpn. 66 (1997) 3406-3410.

    1998

  24. W. Just; Analytical Approach for Piecewise Linear Coupled Map Lattices, J. Stat. Phys. 90 (1998) 727-748.
  25. W. Just, F. Matthäus, and H. Sauermann; On the degenerated soft-mode instability, J. Phys. A 31 (1998) 5925-5938.
  26. W. Just, J. Möckel, D. Reckwerth, E. Reibold, and H. Benner; Delayed feedback control of periodic orbits in autonomous systems, Phys. Rev. Lett. 81 (1998) 562-565.
  27. S. Lepri and W. Just; Mean-field theory of critical coupled map lattices, J. Phys. A 31 (1998) 6175-6181.
  28. M. Bünner and W. Just; Synchronisation of time-delay systems, Phys. Rev. E 58 (1998) R4072-R4075.
  29. E. Reibold, W. Just, J. Becker, and H. Benner; Stochastic resonance without noise, Proc. of 4th Exp. Chaos Conf., World Scientific, Singapore (1998) p.229-234

    1999

  30. J. Becker, F. Rödelsperger, Th. Weyrauch, H. Benner, W. Just, and A. Cenys; Intermittency in spin-wave instabilities, Phys. Rev. E 59 (1999) 1622-1632
  31. W. Just, D. Reckwerth, E. Reibold, and H. Benner; Influence of control loop latency on time-delayed feedback control, Phys. Rev. E 59 (1999) 2826-2829
  32. W. Just; Principles of delayed feedback control methods, in Handbook of Chaos Control (Ed. H. G. Schuster, Wiley-VCH, 1999)
  33. W. Just, E. Reibold, H. Benner, K. Kacperski, F. Fronczak, and J. Holyst; Limits of time-delayed feedback control, Phys. Lett. A 254 (1999) 158-164

    2000

  34. W. Just, E. Reibold, and H. Benner; Time-delayed feedback control: theory and application, Proc. of the 5th Experimental Chaos Conf. (Ed. M. Ding, W. Ditto. Al Osborne, L. Pecora, and M. Spano, World Scientific, Singapoore 2000).
  35. W. Just and H. Kantz; Some considerations on Poincare maps for chaotic flows, J. Phys. A 33 (2000) 163-170
  36. F. Schmüser, W. Just, and H. Kantz; On the relation between coupled map lattices and kinetic Ising models, Phys. Rev. E 61 (2000) 3675-3684
  37. W. Just, E. Reibold, K. Kacperski, P. Fronczak, J. Holyst, and H. Benner; Influence of stable Floquet exponents on time-delayed feedback control, Phys. Rev. E 61 (2000) 5045-5056
  38. W. Just; On the eigenvalue spectrum for time-delayed Floquet problems, Physica D 142 (2000) 153-165

    2001

  39. E. Ferretti Manffra, H. Kantz, and W. Just; Periodic orbits and topological entropy of delayed maps, Phys. Rev. E 63 (2001) 046203
  40. W. Just, H. Kantz, C. Rödenbeck and M. Helm; Stochastic modelling: Replacing fast degrees of freedom by noise, J. Phys. A 34 (2001) 3199-3213
  41. W. Just, M. Bose, S. Bose, H. Engel, and E. Schöll; Spatio-temporal dynamics near a supercritical Turing-Hopf bifurcation in a two-dimensional reaction-diffusion system, Phys. Rev. E 64 (2001) 026219
  42. W. Just; Equilibrium Phase Transitions in Coupled Map Lattices: A Pedestrian Approach, J. Stat. Phys. 105 (2001) 133-142
  43. F. Schmüser and W. Just; Non-equilibrium behaviour in unidirectionally coupled map lattices, J. Stat. Phys. 105 (2001) 525-559

    2002

  44. E. Ferretti Manffra, W. Just, and H. Kantz; Invariant densities of delayed maps in the limit of large time delay, Phys. Rev. E 65 (2002) 016211
  45. H. Benner and W. Just; Control of chaos by time delayed feedback in high power ferromagnetic resonace experiments, J. Kor. Phys. Soc. 40 (2002) 1046-1050
  46. O. Beck, A. Amann, E. Schöll, J.E.S. Socolar, and W. Just; Comparison of time-delayed feedback schemes for spatio-temporal control of chaos in a reaction-diffusion system with global coupling, Phys. Rev. E 66 (2002) 016213-1 - 016213-6
  47. N. Baba, A. Amann, E. Schöll, and W. Just; Giant improvement of time delayed feedback control by spatio-temporal filtering, Phys. Rev. Lett. 89 (2002) 074101-1 - 074101-4

    2003

  48. W. Just, H. Benner, and E. Reibold; Theoretical and experimental aspects of chaos control by time-delayed feedback, Chaos 13 (2003) 259-266
  49. W. Just, S. Popovich, A. Amann, N. Baba, and E. Schöll; Improvement of time-delayed feedback control by periodic modulation: analytical theory of Floquet mode control schemes, Phys. Rev. E 67 (2003) 026222-1 - 026222-10
  50. W. Just, H. Kantz, M. Ragwitz, and F. Schmüser; Nonequilibrium physics meets time series analysis: measuring probability currents from data, Europhys. Lett. 62 (2003) 28-34
  51. W. Just, K. Gelfert, N. Baba, A. Riegert, and H. Kantz; Elimination of fast chaotic degrees of freedom: On the accuracy of the Born approximation, J. Stat. Phys. 112 (2003) 277-292
  52. G. Sauermann and W. Just; Frequencies of Bogoliubov coupled oscillators with resonant three particle interaction, J. Phys. A 36 (2003) 4321-4336
  53. W. Just, H. Benner, and E. Schöll; Control of chaos by time-delayed feedback: a survey of theoretical and experimental aspects, in Advances in Solid State Physics 43, B. Kramer (Ed.), (Springer 2003), p.589-603
  54. J. Unkelbach, A. Amann, W. Just, and E. Schöll; Time-delay autosynchronization of the spatio-temporal dynamics in resonant tunneling diodes, Phys. Rev. E 68 (2003) 026204
  55. J. Schlesner, A. Amann, N. B. Janson, W. Just, and E. Schöll; Self-stabilization of high frequency oscillations in semiconductor superlattices by time-delay autosynchronisation, Phys. Rev. E 68 (2003) 066208

    2004

  56. H. Kantz, W. Just, N. Baba, K. Gelfert, and A. Riegert; Fast chaos versus white noise - entropy analysis and a Fokker-Planck model for the slow dynamics, Physica D 187 (2004) 200-213
  57. W. Just, H. Benner, and C. v. Loewenich; On global properties of time-delayed feedback control: weakly nonlinear analysis, Physica D 199 (2004) 33-44
  58. A. Fichtner, W. Just, and G. Radons; Analytical investigation of modulated time-delayed feedback control, J. Phys. A 37 (2004) 3385-3391
  59. J. Schlesner, A. Amann, N. Janson, W. Just, and E. Schöll; Self-stabilization of chaotic domain oscillations in superlattices by time-delayed feedback control, Semicond. Sci. and Tech. 19 (2004) 34-36
  60. C. v. Loewenich, H. Benner, and W. Just; Experimental relevance of global properties of time-delayed feedback control, Phys. Rev. Lett. 93 (2004) 174101

    2005

  61. G. Radons, W. Just, and P. Häussler (Eds.); Collective dynamics of nonlinear and disordered systems, (Springer, 2005)
  62. W. Just; On Symbolic Dynamics of Space-Time Chaotic Models, in Collective dynamics of nonlinear and disordered systems, G. Radons, P. Häussler, and W. Just (Eds.), (Springer, 2005), p.339-357
  63. H.G. Schuster and W. Just; Deterministic Chaos, (Wiley-VCH, 2005)
  64. A. Riegert, N. Baba, K. Gelfert, W. Just, and H. Kantz; Hamiltonian chaos acts like a finite energy reservoir: Accuracy of the Fokker-Planck approximation, Phys. Rev. Lett. 94 (2005) 054103
  65. W. Just and F. Schmüser; On phase transitions in coupled map lattices, in Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems, Eds. J.-R. Chazottes and B. Fernandez, Lecture Notes in Physics 671 (Springer, 2005), p.33-64
  66. S. Hallerberg, W. Just, and G. Radons; Analytic properties of the Ruelle zeta function for mean field models of phase transition, J. Phys A 38 (2005) 5097-5109

    2006

  67. N. Baba, W. Just, H. Kantz, and A. Riegert; Accuracy and efficiency of reduced stochastic models for chaotic Hamiltonian systems with time scale separation, Phys. Rev. E 73 (2006) 066228
  68. W. Just; Phase transitions in coupled map lattices and in associated probabilistic cellular automata, Phys. Rev. E 74 (2006) 046209

    2007

  69. A. Amann, E. Schöll, and W. Just; Some basic remarks on eigenmode expansions of time-delay dynamics, Physica A 373 (2007) 191-202
  70. T. Stemler, J. P. Werner, H. Benner, and W. Just; Stochastic modelling of experimental chaotic time series, Phys. Rev. Lett. 98 (2007) 044102
  71. 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 (2007) 214102
  72. W. Just; On global properties of time-delayed feedback control, in "Handbook of Chaos Control (2nd edition)", E. Schöll and H.G. Schuster (eds.), (Wiley-VCH, Weinheim, 2007), p.85-108.
  73. 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 circuits, in "Handbook of Chaos Control (2nd edition)", E. Schöll and H.G. Schuster (eds.), (Wiley-VCH, Weinheim, 2007), p.559-573.
  74. W. Just, B. Fiedler, M. Georgi, V. Flunkert, P. Hövel, and E. Schöll; Beyond the odd number limitation: a bifurcation analysis of time-delayed feedback control, Phys. Rev. E 76 (2007) 026210.
  75. A. Riegert, W. Just, N. Baba, and H. Kantz; Fast Hamiltonian chaos: Heat bath without thermodynamic limit, Phys. Rev. E 76 (2007) 066211.

    2008

  76. T. Jüngling, H. Benner, T. Stemler, and W. Just, Noise-free Stochastic Resonance at an Interior Crisis, Phys. Rev. E 77 (2008) 036216.

    2009

  77. R. Carvalho, L. Buzna, F. Bono, E. Gutiérrez, W. Just, and D. Arrowsmith; Robustness of Trans-European Gas Networks, Phys. Rev. E 80 (2009) 016106.
  78. H. Erzgräber and W. Just; Global view on a generic nonlinear oscillator subject to time-delayed feedback control, Physica D 238 (2009) 1680-1687.

    2010

  79. T. Stemler, J.P. Werner, H. Benner, and W. Just; Stochastic Modelling of Intermittency, Phil. Trans. Roy. Soc. A 368 (2010), 273-284.
  80. W. Just, A. Pelster, M. Schanz, and E Schöll (Eds.); Delayed complex systems, Phil. Trans. Roy. Soc. A 368 (2010), 301-513.
  81. W. Just; Toom's model with Glauber rates: an exact solution using elementary methods, J. Stat. Phys. 139 (2010) 985-990.
  82. K. Helbig, W. Just, G. Radons, and H. Yang; Dynamic structure factors and Lyapunov modes in disordered chains, Phys. Rev. E 82 (2010) 026206.
  83. C. von Loewenich, H. Benner, and W. Just; Experimental verification of Pyragas-Schöll-Fiedler control, Phys. Rev. E 82 (2010) 036204.
  84. H.Touchette, E. Van der Straeten, and W. Just; Brownian motion with dry friction: Fokker-Planck approach, J. Phys. A 43 (2010) 445002.

    2011

  85. C. Guill, B. Drossel, W. Just, and E. Carmack; A three-species model explaining cyclic dominance of pacific salmon, J. Theor. Biol. 276 (2011) 16-21.
  86. C. Guill, B. Reichardt, B. Drossel, and W. Just; Coexisting patterns of population oscillations: the degenerate Neimark Sacker bifurcation as a generic mechanism, Phys. Rev. E 83 (2011) 021910.

    2012

  87. R. Carvalho, L. Buzna, W. Just, D. Helbing, and D.K. Arrowsmith; Fair sharing of resources in a supply network with constraints, Phys. Rev. E 85 (2012) 046101.
  88. H. Touchette, T. Prellberg, and W. Just; Exact power spectra of Brownian motion with solid friction, J. Phys. A 45 (2012) 395002.

    2013

  89. J. Slipantschuk, O. Bandtlow, and W. Just; On the relation between Lyapunov exponents and exponential decay of correlations, J. Phys. A 46 (2013) 075101.
  90. R.Klages, W.Just, and C.Jarzynski (Eds.); Nonequilibrium Statistical Physics of Small Systems: Fluctuation Relations and Beyond Wiley-VCH, Weinheim, 2013.
  91. Y. Chen, A. Baule, H. Touchette, and W. Just; Weak-noise limit of a piecewise-smooth stochastic differential equation, Phys. Rev. E 88 (2013) 052103.
  92. J. Slipantschuk, O.F. Bandtlow, and W. Just; Analytic expanding circle maps with explicit spectra, Nonlinearity 26 (2013) 3231.
  93. J. Slipantschuk, O.F. Bandtlow, and W. Just; On correlation decay in low-dimensional systems, Europhys. Lett. 104 (2013) 20004.

    2014

  94. Y. Chen and W. Just; First-passage time of Brownian motion with dry friction, Phys Rev. E 89 (2014) 022103.

    Forthcoming

  95. O.F. Bandtlow, W. Just, and J. Slipantschuk; Spectral structure of transfer operators for expanding circle maps
  96. W. Just, F. Matthäus, H. R. Völger, C. Just, B. Rumpf, and A. Riegert; Weakly nonlinear analysis in spatially extended systems as a formal perturbation scheme