List of Publications
Tipping and Climate Dynamics
| Reference | download | original |
|---|---|---|
| B. Wuyts, J. Sieber, Emergent structure and dynamics of tropical forest-grassland landscapes . Proceedings of the National Academy of Sciences 120(45):e2211853120, 2023 (10 pages), supporting information at PNAS (13 pages) |
arxiv | PNAS |
| B. Wuyts, J. Sieber, Generalised moment closure for discrete-state dynamics on networks. Phys. Rev .E 106, 054312 (25 pages) |
arxiv | APS |
| S. K. J. Falkena, C. Quinn, J. Sieber, H. A. Dijkstra, A delay equation model for the Atlantic Multidecadal Oscillation. Proceedings of the Royal Society A 477:20200659, 2021 (21 pages), supplementary material available at figshare |
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 |
| 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 475:20190075, 2019 (21 pages) |
arxiv | Royal Society |
| 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 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 |
|---|---|---|
| D. Amakhin, A. Chizhov, G. Grier, M. Desriches, J, Sieber, S. Rodrigues, Observing hidden neuronal states in experiments. submitted |
arxiv | submitted |
| I. Panagiotopoulos, J. Starke, J. Sieber, W. Just, Continuation with Non-invasive Control Schemes: Revealing Unstable States in a Pedestrian Evacuation Scenario. SIAM J. Appl. Dyn. Sys. 22(1), 1-36 |
arxiv | SIAM |
| 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
| Reference | download | original |
|---|---|---|
| Z. Zhang, J.P. Chavez, J. Sieber . Y. Liu, Numerical analysis of a multistable capsule system under the delayed feedback control with a constant delay. International Journal of Non-Linear Mechanics, 152, 104390, 2023. |
arxiv | Elsevier |
| A.R. Humphries, B. Krauskopf, S. Ruschel, J. Sieber, Nonlinear effects of instantaneous and delayed state dependence in a delayed feedback loop. Discrete and Continuous Dynamical Systems - Series B 27(12) pp. 7245--7273, 2022. |
arxiv | AIMS |
| B. Krauskopf, J. Sieber, Bifurcation Analysis of Systems with Delays: Methods and Their Use in Applications. chapter in Controlling Delayed Dynamics Advances in Theory, Methods and Applications. Editor: Dimitri Breda. CISM Springer Series, ISBN: 978-3-031-01129-0. |
arxiv | Springer |
| Z. Ahsan, H. Dankowicz, M. Li, J. Sieber, Methods of Continuation and their Implementation in the COCO Software Platform with Application to Delay Differential Equations
. Nonlinear Dynamics 2022, doi:10.1007/s11071-021-06841-1 (63 pages) |
arxiv | Springer |
| Z. Zhang, Y. Liu, J. Sieber, Calculating the Lyapunov exponents of a piecewise smooth soft impacting system with a time-delayed feedback controller. Communications in Nonlinear Science and Numerical Simulation 91, 105451, 2020 |
arxiv | Elsevier |
| 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)
| Reference | download | original |
|---|---|---|
| Z. Zhang, J. Paez Chavez, J. Sieber, Y. Liu, Controlling grazing-induced multistability in a piecewise-smooth impacting system via the time-delayed feedback control. Nonlinear Dynamics, doi:10.1007/s11071-021-06511-2, 2021. |
ORE Exeter | Springer |
| 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 |
|---|---|---|
| A. Wang, J. Sieber, W. R. Young, K. Tsaneva-Atanasova, Time series analysis and modelling of the freezing of gait phenomenon. SIAM J. Appl. Dyn. Sys. 22(2), 825-849 |
arxiv | SIAM |
| H. Dankowicz, J. Sieber, Sensitivity Analysis for Periodic Orbits and Quasiperiodic Invariant Tori Using the Adjoint Method. AIMS Journal of Computational Dynamics 9(3): 329-369, 2022 |
arxiv | AIMS |
| Z. Zhang, J. Paez Chavez, J. Sieber, Y. Liu, Controlling coexisting attractors of a class of non-autonomous dynamical systems. Physica D 431, 133134 (16 pages), 2022 |
arxiv | Elsevier |
| 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), 2020 |
ORE Exeter | ASME |
| 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, 2019, Video illustrating delayed buckling effect and absence of unique critical dynamic buckling pressure with a ball rolling in a curved landscape: buckling_breathing_landscape_wtitle.mp4. Also on youtube: https://youtu.be/dWf4cxP_Bp8. |
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
| Reference | download | original |
|---|---|---|
| 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.