List of Publications

Tipping and Climate Dynamics

Reference download original
S. K. J. Falkena, C. Quinn, J. Sieber, J. Frank, H. A. Dijkstra, Derivation of delay equation climate models using the Mori-Zwanzig Formalism.
Proceedings of the Royal Society A 475(2227):20190075, 2019 (21 pages)
arxiv Royal Society
C. Quinn, J. Sieber, A. S. von der Heydt, Effects of periodic forcing on a Paleoclimate delay model.
SIAM Journal of Applied Dynamical Systems 18(2) pp. 1060-1077, 2019, supplementary material available at figshare
arxiv SIAM
P. Ritchie, Ö. Karabacak, J. Sieber, Inverse-square law between time and amplitude for crossing tipping thresholds.
Proceedings of the Royal Society A 475:20180504 (19 pages), 2019
arxiv Royal Society
C. Quinn, J. Sieber, A. S. von der Heydt, T. M. Lenton, The Mid-Pleistocene Transition induced by delayed feedback and bistability.
Dynamics and Statistics of the Climate System 3(1), dzy005 (17 pages), 2018
arxiv OUP
P. Ritchie, J. Sieber, Probability of noise and rate-induced tipping.
Physical Review E 95(5), 052209 (13 pages), 2017
arxiv APS
P. Ritchie, J. Sieber, Early-warning indicators for rate-induced tipping.
Chaos 26, 093116 (13 pages), 2016
arxiv AIP
B. Krauskopf, J. Sieber, Bifurcation analysis of delay-induced resonances of the El-Niño Southern Oscillation.
Proceedings of the Royal Society A 470(2169):20140348 (18 pages), 2014.
arxiv Royal Society
J. Sieber, J.M.T. Thompson, Nonlinear softening as a predictive precursor for early climate tipping.
Phil. Trans. R. Soc. A, 370 (1962) pp. 1205-1227, 2012
contribution to Theme Issue Influence of Nonlinearity and Randomness in Climate Prediction of the Philosophical Transactions of the Royal Society A.
For preprint collection to the Theme Issue see
For the summary article see J. M. T. Thompson and Jan Sieber, Introduction: Climate predictions: the influence of nonlinearity and randomness
arxiv Royal Society
J.M.T. Thompson, J. Sieber, Climate tipping as a noisy bifurcation: a predictive technique.
IMA Journal of Applied Mathematics 76(1) pp. 27-46, 2011.
arxiv Oxford Journals
J.M.T. Thompson, J. Sieber, Predicting climate tipping as a noisy bifurcation: a review.
Int J. Bif. Chaos 21(2) pp. 399-423, 2011.
local World Scientific
J.M.T. Thompson, J. Sieber, Predicting climate tipping points.
In Geo-Engineering climate Change: Environmental Necessity or Pandora's Box?, eds. B. Launder and J.M.T. Thompson, Cambridge University Press, pp. 50-83, 2010.
local CUP

Control-based Continuation & Substructuring

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L. Renson, J. Sieber, D.A.W. Barton, A.D. Shaw, S.A. Neild, Numerical Continuation in Nonlinear Experiments using Local Gaussian Process Regression.
Nonlinear Dynamics 2019, doi:10.1007/s11071-019-05118-y
arxiv Springer
J. Sieber, C. Marschler, J. Starke, Convergence of equation-free methods in the case of finite time scale separation with application to stochastic systems.
SIAM Journal of Applied Dynamical Systems 17(4) pp. 2574-2614, 2018
Supplementary material available at Figshare (zip file)
output of scripts: rotated case and unrotated case
arxiv SIAM
J. Sieber, Generic stabilizability for time-delayed feedback control.
Local link to supplementary material: Readme.html, zip file with source published code.
Proceedings of the Royal Society A 472:20150593 (19 pages), 2016
arxiv Royal Society
J. Sieber, O. Omel'chenko, M. Wolfrum, Controlling unstable chaos: Stabilizing chimera states by feedback.
Phys. Rev. Lett. 112, 054102, 2014.
arxiv APS
J. Sieber, A. Rapaport, S. Rodrigues, M. Desroches, A new method for the reconstruction of unknown non-monotonic growth functions in the chemostat.
Bioprocess and Biosystems Engineering 36(10) pp. 1497-1507, 2013.
arxiv Springer
D.A.W. Barton, J. Sieber, Systematic experimental exploration of bifurcations with non-invasive control.
Phys. Rev. E 87(5) 052916, 2013.
arxiv APS
J. Sieber, B. Krauskopf, D. Wagg, S. Neild, A. Gonzalez-Buelga, Control-based continuation of unstable periodic orbits.
ASME Journal of Computational and Nonlinear Dynamics 6(1) 011005, 2011.
figshare ASME
J. Sieber, A. Gonzalez-Buelga, S.A. Neild, D.J. Wagg, B. Krauskopf, Experimental continuation of periodic orbits through a fold.
Phys. Rev. Lett. 100, 244101, 2008.
Paper covered by Physical Review Focus article by M. Wofsey with videos.
arxiv APS
J. Sieber, B. Krauskopf, Tracking oscillations in the presence of delay-induced essential instability.
Journal of Sound and Vibration 315(3) pp.781-795, 2008.
local Elsevier
J. Sieber, B. Krauskopf, Control based bifurcation analysis for experiments.
Nonlinear Dynamics 51(3) pp. 365-377, 2008. (preprint accompanied by animation)
ROSE Springer
J. Sieber, B. Krauskopf, Control-based continuation of periodic orbits with a time-delayed difference scheme.
Int. Journal of Bifurcation and Chaos 17(8), pp. 2579 - 2593, 2007.
local World Scientific
M.I. Wallace, J. Sieber, S.A. Neild, D.J. Wagg, B. Krauskopf, Stability analysis of real-time dynamic substructuring using delay differential equation models.
International Journal of Earthquake Engineering and Structural Dynamics 34(15), pp. 1817-1832, 2005.
ROSE Wiley

See also below for Conference proceedings and unrefereed (or unpublished) material.

Dynamical systems with delay

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Z. Zhang, Y. Liu, J. Sieber, Calculating the Lyapunov exponents of a piecewise smooth soft impacting system with a time-delayed feedback controller.
arxiv submitted
Z. Ahsan, H. Dankowicz, J. Sieber, Optimization along Families of Periodic and Quasiperiodic Orbits in Dynamical Systems with Delay.
Nonlinear Dynamics 2019, doi:10.1007/s11071-019-05304-y
local Springer
S. Yanchuk, S. Ruschel, J. Sieber, M. Wolfrum, Temporal dissipative solitons in time-delay feedback systems.
Phys. Rev. Lett. 123, 053901, 2019 (5 pages)
arxiv APS
J. Sieber, Local bifurcations in differential equations with state-dependent delay.
Chaos 27(11) 114326, 2017
arxiv AIP
J. Sieber, M. Wolfrum, M. Lichtner, S. Yanchuk, On the stability of periodic orbits in delay equations with large delay.
Discrete and Continuous Dynamical Systems - Series A 33(7), pp. 3109-3134, 2013
arxiv AIMS
J. Sieber, Finding periodic orbits in state-dependent delay differential equations as roots of algebraic equations.
Discrete and Continuous Dynamical Systems - Series A 32(8), pp. 2607-2651, 2012.
Contribution to a Special Issue in honour of John Guckenheimer's 65th birthday
arxiv AIMS
J. Sieber, R. Szalai, Characteristic matrices for linear periodic delay differential equations.
SIAM Journal of Appl. Dyn. Sys. 10, pp. 129-147, 2011
arxiv SIAM
J. Sieber, B. Krauskopf, Extending the permissible control loop latency for the controlled inverted pendulum.
Dynamical Systems: An international Journal 20(2), pp. 189-199, 2005.
local T&F
J. Sieber, B. Krauskopf, Complex balancing motions of an inverted pendulum subject to delayed feedback control.
Physica D 197(3-4), pp. 332-345, 2004.
local Elsevier
J. Sieber, B. Krauskopf, Bifurcation analysis of an inverted pendulum with delayed feedback control near a triple-zero eigenvalue.
Nonlinearity 17 (1), pp. 85-104, 2004.
figshare IOP

See also below for Conference proceedings and unrefereed (or unpublished) material.

Piecewise smooth systems (+delay & hysteresis)

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J. Sieber, P. Kowalczyk, S.J. Hogan, M. di Bernardo, Dynamics of symmetric dynamical systems with delayed switching.
Journal of Vibration and Control 16(7-8) pp. 1111-1140, 2010.
arxiv SAGE
J. Sieber, P. Kowalczyk, Small-scale instabilities in dynamical systems with sliding.
Physica D 239 pp.44-57, 2010.
arxiv Elsevier
J. Sieber, Dynamics of delayed relay systems.
Nonlinearity 19(11) pp. 2489-2527, 2006.

See also below for Conference proceedings and unrefereed (or unpublished) material.

Bifurcation analysis

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J. Sieber, J. W. Hutchinson, J. M. T. Thompson, Buckling Thresholds for Pre-loaded Spherical Shells Subject to Localized Blasts .
ASME Journal of Applied Mechanics 19-1539 (20 pages), 2019
J. Sieber, J. W. Hutchinson, J. M. T. Thompson, Nonlinear Dynamics of Spherical Shells Buckling under Step Pressure.
Proceedings of the Royal Society A 475(2223):20180884, 2018
arxiv Royal Society
J. M. T. Thompson, J.W. Hutchinson, J. Sieber, Probing Shells Against Buckling: A Nondestructive Technique for Laboratory Testing.
Int. J. Bifurcations and Chaos 27(14), 1730048, (15 pages), 2017
arxiv World Scientific
J. M. T. Thompson, J. Sieber, Shock-Sensitivity in Shell-Like Structures: with Simulations of Spherical Shell Buckling.
Int. J. Bifurcations and Chaos 26(2), 1630003 (25 pages), 2016.
arxiv World Scientific
M. Wolfrum, Oleh Omel'chenko, Jan Sieber, Regular and irregular patterns of self-localized excitation in arrays of coupled phase oscillators.
Chaos 25, 053113, 2015
arxiv AIP
P. Verrier, T. Waters, J. Sieber, Evolution of the L1 Halo family in the radial solar sail CRTBP.
Celestial Mechanics and Dynamical Astronomy 120(4), pp 373-400, 2014.
arxiv Springer
C. Marschler, J. Sieber, R. Berkemer, A. Kawamoto, J. Starke, Implicit Methods for Equation-Free Analysis: Convergence Results and Analysis of Emergent Waves in Microscopic Traffic Models.
SIAM J. Appl. Dyn. Syst., 13(3), pp. 1202–1238, 2014.
arxiv SIAM
J. M. T. Thompson, J. Sieber, Nonlinear dynamic interactions between flow-induced galloping and shell-like buckling.
International Journal of Mechanical Sciences, 91, pp 91–98, 2015
arxiv Elsevier
J. Sieber, T. Kalmar-Nagy, On the stability of a chain of phase oscillators.
Physical Review E 84(1) 016227, 2011.
arxiv APS
B. Horton, J. Sieber, J. M. T. Thompson, M. Wiercigroch, Dynamics of the elliptically excited pendulum.
International Journal of Non-Linear Mechanics 46(2) pp 436-442, 2011.
arxiv Elsevier
J. Sieber, D.J. Wagg, S. Adhikari, On the interaction of exponential non-viscous damping with symmetric nonlinearities.
Journal of Sound and Vibration 314(1-2) pp. 1-11, 2008.
local Elsevier

See also below for Conference proceedings and unrefereed (or unpublished) material.

Semiconductor lasers

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J. Sieber, M. Radziunas, K.R. Schneider, Dynamics of multisection lasers.
Mathematical Modelling and Analysis 9 (1), pp. 51-66, 2004.
local Technika
S. Bauer, O.Brox, J. Kreissl, B. Sartorius, M. Radziunas, J. Sieber, H.-J. Wünsche, F. Henneberger, Nonlinear dynamics of semiconductor lasers with active optical feedback.
Phys. Rev. E 69, 016206, 2004
local APS
O. Brox, S. Bauer, M. Radziunas, M. Wolfrum, J. Sieber, J. Kreissl, B. Sartorius, H.-J. Wünsche, High-Frequency Pulsations in DFB-Lasers with Amplified Feedback.
IEEE J. of Quant. El. 39 (11), pp. 1381-1387, 2003
local IEEE
J. Sieber, Numerical bifurcation analysis for multi-section semiconductor lasers.
SIAM J. of Appl. Dyn. Sys. vol. 1(2), pp. 248-270, 2002.
local SIAM
B. Krauskopf, K.Schneider, J. Sieber, S. Wieczorek, M. Wolfrum, Excitability and self-pulsations near homoclinic bifurcations in semiconductor laser systems.
Opt. Comm. 215, pp. 367-379, 2002.
local Elsevier
U. Bandelow, M. Wolfrum, J. Sieber, M. Radziunas, Spatio-Temporal Dynamics of Multisection DFB-lasers with Gain Dispersion.
IEEE J. of Quant El. vol. 37 (2), pp. 270-278, 2001.
local IEEE
V.Z. Tronciu, H.-J. Wünsche, J. Sieber, K. Schneider, F. Henneberger, Dynamics of single mode semiconductor lasers with passive dispersive reflectors.
Opt. Comm. 182, pp. 221-228, 2000.
local Elsevier

See also below for Conference proceedings and unrefereed (or unpublished) material.

Conference Proceedings (chronological)

Miscellaneous (unrefereed or unpublished)

  • PhD Thesis: Longitudinal dynamics of semiconductor lasers.
    appeared as WIAS report
  • Master Thesis: Local error control for general index-1 and index-2 differential algebraic equations.
    appeared as a preprint at the HU Berlin
  • J. Sieber: Longtime behavior of coupled wave equations for semiconductor lasers. Submitted to J. Diff. Eq. and revised after referee report. Download from arxiv/abs/1308.2060.