Nonlinear Dynamics at the Free University Berlin

Dr. Isabelle Schneider

Research interests

  • Delay equations
  • Dynamical systems
  • Delayed feedback control
  • Spatio-temporal patterns
  • Coupled oscillators
Address: Freie Universität Berlin
Institut für Mathematik
Arnimallee 3
D - 14195 Berlin
Office 145, Arnimallee 7, rear building
Phone + 49 - 30 - 838 75413
E-mail: isabelle.schneider at
(replace the "at" by a @)



Preprints and Publications

I. Schneider, B. De Wolff, J.-Y. Dai
Pattern-Selective Feedback Stabilization of Ginzburg-Landau Spiral Waves
Submitted (March 2022)
B. de Wolff, I. Schneider.
Geometric invariance of determining and resonating centers: Odd-and any-number limitations of Pyragas control.
arXiv:2103.09168v2 (2019), Chaos: An Interdisciplinary Journal of Nonlinear Science. 31 (2021), 063125.
(pdf, 451 kB)
B. Fiedler, A.Lopez Nieto, R. H. Rand, S. M. Sah, I. Schneider, B. De Wolff
Coexistence of infinitely many large, stable, rapidly oscillating periodic solutions in time-delayed Duffing oscillators.
arXiv:1906.06602 (2019), J. Differential Eqs. 268 (2020), 5969-5995.
(pdf, 894 kB)
B. Fiedler, I. Schneider
Stabilized rapid oscillations in a delay equation: Feedback control by a small resonant delay.
Discrete and Continuous Dynamical Systems - Series S 13 (2020), 1145--1185.
(pdf, 2.310 kB)
A. Röhm, K. Lüdge, I. Schneider
Bistability in Two Simple Symmetrically Coupled Oscillators with Symmetry-broken Amplitude-and Phase-Locking
Chaos: An Interdisciplinary Journal of Nonlinear Science 28 (6) , 063114 (2018)
Isabelle Schneider
An introduction to the control triple method for partial differential equations
Patterns of Dynamics (Gurevich, Hell, Sandstede, Scheel, eds.), Springer Proceedings in Mathematics & Statistics Volume 205 (2018).
(pdf, 577 kB)
Isabelle Schneider
Spatio-temporal feedback control of partial differential equations
Dissertation, Freie Universit├Ąt Berlin (2016).
auf dem Dissertationenserver der FU Berlin
Isabelle Schneider, Marie Kapeller, Sarah Loos, Anna Zakharova, Bernold Fiedler, Eckehard Schöll
Stable and transient multi-cluster oscillation death in nonlocally coupled networks
Physical Review E 92 (5), 052915 (2015).
Isabelle Schneider, Bernold Fiedler
Symmetry-breaking control of rotating waves
In: "Control of Self-Organizing Nonlinear Systems", Springer-Verlag, 2016, pp. 105-126.
(pdf, 2,9 MB)
Isabelle Schneider, Matthias Bosewitz
Eliminating restrictions of time-delayed feedback control using equivariance
Discrete and Continuous Dynamical Systems Series A 36 (1), 451-467 (2016).
(pdf, 410 kB)
Isabelle Schneider
Equivariant Pyragas control
Master Thesis, Freie Universität Berlin (2014).
(pdf, 1.8 MB)
A. Zakharova, I. Schneider, Y. N. Kyrychko, K. B. Blyuss, A. Koseska, B. Fiedler and E. Schöll
Time delay control of symmetry-breaking primary and secondary oscillation death
Europhys. Lett. 104, 50004 (2013).
(pdf, 950 kB)
Isabelle Schneider
Oscillation suppression in nonlinear coupled oscillators with and without time delay
Bachelor Thesis Physics, Freie Universität Berlin, SFB 910 (2013)
(pdf, 300 kB)
Isabelle Schneider
Delayed feedback control of three diffusively coupled Stuart-Landau oscillators: a case study in equivariant Hopf bifurcation
Phil. Trans. R. Soc. A 371, 20120472 (2013).
(pdf, 3.4 MB)
J. Bahrdt, U. Flechsig, S. Gerhardt and I. Schneider
PHASE, A universal software package for the propagation of time dependent coherent light pulses along grazing incidence optics
Proceedings of SPIE Vol. 8141, Advances in Computational Methods for X-Ray Optics II (2011).
(pdf, 885 kB)
J. Bahrdt, W. Frentrup, A. Gaupp, M. Scheer, I. Schneider, G. Wüstefeld
Shimming of the Dynamic Field Integrals of the BESSY II U125 Hybrid Undulator
Proceedings of IPAC, San Sebastián, Spain, 3248-3250 (2011).
(pdf, 265 kB)
Isabelle Schneider
Stabilisierung von drei symmetrisch gekoppelten Oszillatoren durch zeitverzögerte Rückkopplungskontrolle
Bachelor Thesis Mathematics, Freie Universität Berlin (2011).
(pdf, 1.2 MB)
switch Last change: Mar. 14, 2022
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