List of Publications / Wolfram Just
1987
- G. Sauermann, W. Just, K.-P. Karmann, and Y. Zhang;
Projection Operator Formulation for Second Order Response,
Physica A 140 (1987) 597-611.
1988
- W. Just and H. Sauermann;
Ordinary Differential Equations
for Nonlinear Stochastic Oscillators,
Phys. Lett. A 131 (1988) 234-238.
1989
-
W. Just;
Dynamics of the Stochastic Duffing Oscillator in
Gaussian Approximation,
Physica D 40 (1989) 311-330.
1990
-
W. Just;
Stationary and Dynamic Solutions of Stochastic
Relaxation Oscillators,
Z. Phys. B 78 (1990) 513-525.
-
W. Just;
Analytical Treatment of Fluctuation Spectra at
the Symmetry Breaking Chaos Transition,
Phys. Lett. A bf 150 (1990) 362-368.
1991
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W. Just and H. Fujisaka;
General Derivation of Scaling
Functions near q-Phase Transition Points,
Phys. Lett. A 158 (1991) 385-390.
- 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
-
W. Just;
Projection Operator Approach to the Thermodynamic
Formalism of Dynamical Systems,
J. Stat. Phys. 67 (1992) 271-287.
-
W. Just and H. Fujisaka;
On the Scaling Laws of
Higher-Order q-Phase Transitions,
J. Phys. A 25 (1992) 3567-3592.
1993
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W. Just and H. Fujisaka;
Gibbs Measures and Power Spectra
for Type I Intermittent Maps,
Physica D 64 (1993) 98-120.
- T. Kobayashi, H. Fujisaka, and W. Just;
Thermodynamics and Multicorrelations of Intermittent Dynamics,
Phys. Rev. E 47 (1993) 3196-3205.
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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
-
W. Just;
On the Thermodynamic Approach Towards Time-Series
Analysis,
J. Phys. A 27 (1994) 3029-3049.
-
W. Just;
Bifurcations in Globally Coupled Shift Maps,
Workshop on the Thermodynamic Formalism, Lavin/Schweiz (1994),
Z. Naturforsch A 49 (1994) 1233-1234.
1995
-
W. Just;
Globally Coupled Maps:
Phase Transitions and Synchronization,
Physica D 81 (1995) 317-340.
-
W. Just;
Bifurcations in Globally Coupled Map Lattices,
J. Stat. Phys. 79 (1995) 429-449.
1996
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T. Träxler, W. Just, and H. Sauermann;
Dynamics of Homogeneous Magnetizations in Strong Transverse Driving
Fields,
Z. Phys. B 99 (1996) 285-295.
-
G. Sauermann, T. Turschner, and W. Just;
Selfconsistent Approximations in Mori's Theory,
Physica A 225 (1996) 19-61.
- 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
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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.
-
W. Just;
On the Collective Motion in Globally Coupled Chaotic Systems, Phys. Rep.
290 (1997) 101-110.
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E. Reibold, W. Just, J. Becker, and H. Benner;
Stochastic Resonance in Chaotic Spin-Wave Dynamics, Phys. Rev. Lett.
78 (1997) 3101-3104.
-
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
-
W. Just;
Analytical Approach for Piecewise Linear Coupled Map Lattices,
J. Stat. Phys. 90 (1998) 727-748.
-
W. Just, F. Matthäus, and H. Sauermann;
On the degenerated soft-mode instability,
J. Phys. A 31 (1998) 5925-5938.
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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.
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S. Lepri and W. Just;
Mean-field theory of critical coupled map lattices,
J. Phys. A 31 (1998) 6175-6181.
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M. Bünner and W. Just;
Synchronisation of time-delay systems,
Phys. Rev. E 58 (1998) R4072-R4075.
- 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
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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
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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
-
W. Just;
Principles of delayed feedback control methods,
in Handbook of Chaos Control (Ed. H. G. Schuster, Wiley-VCH, 1999)
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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
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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).
-
W. Just and H. Kantz;
Some considerations on Poincare maps for chaotic flows,
J. Phys. A 33 (2000) 163-170
-
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
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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
-
W. Just;
On the eigenvalue spectrum for time-delayed Floquet problems,
Physica D 142 (2000) 153-165
2001
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E. Ferretti Manffra, H. Kantz, and W. Just;
Periodic orbits and topological entropy of delayed maps,
Phys. Rev. E 63 (2001) 046203
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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
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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
-
W. Just;
Equilibrium Phase Transitions in Coupled Map Lattices: A Pedestrian
Approach, J. Stat. Phys. 105 (2001) 133-142
-
F. Schmüser and W. Just;
Non-equilibrium behaviour in unidirectionally coupled map lattices,
J. Stat. Phys. 105 (2001) 525-559
2002
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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
-
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
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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
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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
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W. Just, H. Benner, and E. Reibold;
Theoretical and experimental
aspects of chaos control by time-delayed feedback,
Chaos 13 (2003) 259-266
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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
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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
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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
-
G. Sauermann and W. Just;
Frequencies of Bogoliubov coupled oscillators with resonant three particle
interaction, J. Phys. A 36 (2003) 4321-4336
-
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
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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
-
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
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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
-
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
-
A. Fichtner, W. Just, and G. Radons;
Analytical investigation of modulated time-delayed
feedback control,
J. Phys. A 37 (2004) 3385-3391
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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
-
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
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G. Radons, W. Just, and P. Häussler (Eds.);
Collective dynamics of nonlinear and disordered systems,
(Springer, 2005)
-
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
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H.G. Schuster and W. Just; Deterministic Chaos, (Wiley-VCH, 2005)
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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
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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
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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
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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
-
W. Just;
Phase transitions in coupled map lattices and in associated
probabilistic cellular automata, Phys. Rev. E 74 (2006) 046209
2007
-
A. Amann, E. Schöll, and W. Just;
Some basic remarks on eigenmode expansions of time-delay dynamics,
Physica A 373 (2007) 191-202
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T. Stemler, J. P. Werner, H. Benner, and W. Just;
Stochastic modelling of experimental chaotic time series,
Phys. Rev. Lett. 98 (2007) 044102
-
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
-
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.
-
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.
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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.
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A. Riegert, W. Just, N. Baba, and H. Kantz;
Fast Hamiltonian chaos: Heat bath without thermodynamic limit,
Phys. Rev. E 76 (2007) 066211.
2008
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T. Jüngling, H. Benner, T. Stemler, and W. Just,
Noise-free Stochastic Resonance at an Interior Crisis, Phys. Rev. E
77 (2008) 036216.
2009
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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.
-
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
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T. Stemler, J.P. Werner, H. Benner, and W. Just;
Stochastic Modelling of Intermittency, Phil. Trans. Roy. Soc. A 368 (2010),
273-284.
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W. Just, A. Pelster, M. Schanz, and E Schöll (Eds.);
Delayed complex systems, Phil. Trans. Roy. Soc. A 368 (2010),
301-513.
-
W. Just;
Toom's model with Glauber rates: an exact solution using
elementary methods,
J. Stat. Phys. 139 (2010) 985-990.
-
K. Helbig, W. Just, G. Radons, and H. Yang;
Dynamic structure factors and Lyapunov modes in disordered chains,
Phys. Rev. E 82 (2010) 026206.
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C. von Loewenich, H. Benner, and W. Just;
Experimental verification of Pyragas-Schöll-Fiedler control,
Phys. Rev. E 82 (2010) 036204.
-
H.Touchette, E. Van der Straeten, and W. Just;
Brownian motion with dry friction: Fokker-Planck approach,
J. Phys. A 43 (2010) 445002.
2011
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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.
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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
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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.
-
H. Touchette, T. Prellberg, and W. Just;
Exact power spectra of Brownian motion with solid friction,
J. Phys. A 45 (2012) 395002.
2013
- J. Slipantschuk, O. Bandtlow, and W. Just;
On the relation between
Lyapunov exponents and exponential decay of correlations,
J. Phys. A 46 (2013) 075101.
- R.Klages, W.Just, and C.Jarzynski (Eds.);
Nonequilibrium Statistical Physics of Small Systems: Fluctuation Relations and Beyond
Wiley-VCH, Weinheim, 2013.
-
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.
-
J. Slipantschuk, O.F. Bandtlow, and W. Just;
Analytic expanding circle maps with explicit spectra,
Nonlinearity 26 (2013) 3231.
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J. Slipantschuk, O.F. Bandtlow, and W. Just;
On correlation decay in low-dimensional systems,
Europhys. Lett. 104 (2013) 20004.
2014
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Y. Chen and W. Just;
First-passage time of Brownian motion with dry friction,
Phys Rev. E 89 (2014) 022103.
-
Y. Chen and W. Just;
On large deviation properties of Brownian motion with dry friction,
Phys Rev. E 90 (2014) 042102.
-
P. M. Geffert, A. Zakharova, A. Vüllings, W.Just, and E. Schöll;
Modulating coherence resonance in non-excitable systems by time-delayed feedback,
Eur. Phys. J. B 87 (2014) 291.
2015
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T. Jüngling, I. Fischer, E. Schöll, and W. Just;
Synchronisation of heterogeneous oscillators by non-invasive time
delayed cross-coupling,
Phys. Rev. Lett. 115 (2015) 194101.
2016
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W. Just, P.M. Geffert, A. Zakharova, and E. Schöll;
Noisy dynamical systems with time delay:
some basic analytical perturbation schemes with applications,
in Control of Self-Organizing Nonlinear Systems, E. Schöll, S.H.L.
Klapp, and P. Hövel (eds.), (Springer 2016), p.147-168.
2017
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O.F. Bandtlow, W. Just, and J. Slipantschuk;
Spectral structure of transfer operators for expanding circle maps,
Ann. Inst. H. Poinc. C 34 (2017) 31.
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L. Tumash, A. Zakharova, J. Lehnert, W. Just, and E. Schöll;
Stability of amplitude chimeras in oscillator networks,
Europhys. Lett. 117 (2017) 20001.
-
J. Slipantschuk, O.F. Bandtlow, and W. Just;
Complete spectral data for analytic Anosov maps of the torus;
Nonl. 30 (2017) 2667.
-
P. M. Geffert and W. Just;
Nonequilibrium dynamics of a pure dry friction model subjected to
coloured noise;
Phys. Rev. E 95 (2017) 062111.
2018
-
L. Lacasa and W. Just;
Visibility graphs and symbolic dynamics;
Physica D 374-375 (2018) 35
2019
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A. Otto, W. Just and G. Radons;
Nonlinear dynamics of delay systems;
Phil. Trans. Roy. Soc. A 377 (2019) 2153
2020
-
J. Slipantschuk, O.F. Bandtlow, and W. Just;
Dynamic mode decomposition for analytic maps;
Comm. Nonl. Sci. Num. Sim. 84 (2020) 105179
-
J. Slipantschuk, M. Richter,
D. J. Chappell, G. Tanner, W. Just,
and O. F. Bandtlow;
Transfer operator approach
to ray-tracing in circular domains;
Nonl. 33 (2020) 5773.
2021
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D.J. Carter, D.J. Dunstan, W. Just, O.F. Bandtlow, and
A. San-Miguel;
Softening of the Euler buckling criterion under discretization of
compliance;
Phys. Rev. Appl. 16 (2021) L051002
2022
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K. Zahradova, J. Slipantschuk, O.F. Bandtlow, and W. Just;
Impact of symmetry on ergodic properties of
triangular billiards;
Phys. Rev. E 105 (2022) L012201.
Forthcoming
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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
- I. Panagiotopoulos, J. Starke, and
W. Just;
Control of collective human behaviour: Social dynamics beyond modeling
- I. Panagiotopoulos,
J. Starke, J. Sieber, and W. Just;
Continuation with Non-invasive Control Schemes:
Revealing Unstable States in a Pedestrian Evacuation Scenario