## List of Publications

### Tipping and Climate Dynamics

Reference | download | original |
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C. Quinn, J. Sieber, A. S. von der Heydt, T. M. Lenton, The Mid-Pleistocene Transition induced by delayed feedback and bistability.submitted |
arxiv | submitted |

P. Ritchie, Ö. Karabacak,
J. Sieber, Inverse-square law between time and amplitude for crossing tipping thresholds.submitted |
arxiv | submitted |

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 sites.google.com/site/noraclpreprints. 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

Reference | download | original |
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J. Sieber, C. Marschler, J. Starke, Convergence of equation-free methods in the case of finite time scale separation with application to stochastic systems.submitted |
arxiv | submitted |

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), 2016 (19 pages) |
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

Reference | download | original |
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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 Jornal 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)

Reference | download | original |
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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. |
ROSE | IOP |

See also below for Conference proceedings and unrefereed (or unpublished) material.

### Bifurcation analysis

Reference | download | original |
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J. M. T. Thompson, J.W. Hutchinson, J. Sieber, Probing Shells Against Buckling: A Nondestructive Technique for Laboratory Testing.(accepted) Int. J. Bifurcations and Chaos 27(14), 2017 (15 pages). |
arxiv | accepted |

J. M. T. Thompson, J. Sieber, Shock-Sensitivity in Shell-Like Structures: with Simulations of
Spherical Shell Buckling.Int. J. Bifurcations and Chaos 26, 1630003, 2016 (25 pages). |
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

Reference | download | original |
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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)

- A. Rapaport, J. Sieber, S. Rodrigues, M. Desroches: Extremum seeking via continuation techniques for optimizing biogas production in the chemostat. NOLCOS 2013, 9th IFAC Symposium on Nonlinear Control Systems, Toulouse (France), 2013
- J. Sieber, R. Clift: Improving the problem condition in control-based continuation experiments. ENOC 2011, 7th European Nonlienar Dynamics Conference, Rome (Italy), 2011
- P. Kowalczyk, J. Sieber: Robustness of grazing-sliding bifurcations in hybrid systems. CHAOS 09 Second IFAC meeting related to analysis and control of chaotic systems, London, 2009
- J. Sieber, B. Krauskopf, D. Wagg, S. Neild, A. Gonzalez-Buelga: Control-based continuation of unstable periodic orbits ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC), 2009
- J. Sieber, B. Krauskopf: Using feedback control and Newton iterations to track dynamically unstable phenomena in experiments . CHAOS 09 Second IFAC meeting related to analysis and control of chaotic systems, London, 2009
- J. Sieber, B. Krauskopf: Tracking nonlinear oscillations with time-delayed feedback . Modern Practice in Stress and Vibration Analysis Bath, 2006
- J. Sieber, P. Kowalczyk: Event collisions in systems with delayed switches . Proceedings of the 6th IFAC Workshop on Time-Delay Systems, L'Aquila, Italy, 2006
- M.I. Wallace, J. Sieber, S.A. Neild, D.J. Wagg, B. Krauskopf: Delay differential equation models for real-time dynamic substructuring. Proceedings of the IDETC/CIE2005, 2005 ASME International Design Engineering Technical Conferences.
- J. Sieber: Dynamics of delayed relay control systems with large delays . IFAC Proceedings of 5th IFAC Workshop on Time-Delay Systems, 2004.
- J. Sieber, L. Recke, K.R. Schneider: Dynamics of Multisection Semiconductor Lasers. Journal of Mathematical Sciences 124 (5), pp. 5298-5309, 2004.
- J. Sieber, B. Krauskopf: Dynamics of an inverted pendulum subject to delayed control. Proceedings of the Equadiff, International Congress on Differential Equations, Hasselt, Belgium, 2003.
- S. Bauer, O. Brox, J. Sieber, M. Wolfrum: Novel concept for a tunable optical microwave source. Proceedings of the OFC, Optical Society of America, 2002.

### 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.