PD Dr. Isabelle Schneider

Projects

• Spatio-temporal patterns: control, delays, and design (2019-2022)
  (DFG Collaborative Research Center 910 on Control of self-organizing nonlinear systems)
• Special measures project: Delayed feedback: noninvasive and global control (2017-2018)
  (DFG Collaborative Research Center 910 on Control of self-organizing nonlinear systems)
• Spatio-temporal patterns: observation, control, and design (2015-2018)
  (DFG Collaborative Research Center 910 on Control of self-organizing nonlinear systems)
• Design of self-organizing spatio-temporal patterns (2011-2014)
  (DFG Collaborative Research Center 910 on Control of self-organizing nonlinear systems)

Teaching

• Seminars Seminars: Advanced Differential Equations and Advanced Delay Equations (Summer 2023)
• Lecture and Exercises Analysis I für Physik: Differential- und Integralrechnung (Winter 2022/23, Universität Rostock)
• Seminar Analysis und Numerik (Winter 2022/23, Universität Rostock)
• Lecture and Exercises Analysis IV für Physik: Distributionen und Partielle Differentialgleichungen (Summer 2022, Universität Rostock)
• Lecture and Exercises Delaygleichungen (Summer 2022, Universität Rostock)
• Exercises Analysis I (Winter 2021/22)
• Seminars Seminars: Advanced Differential Equations and Advanced Delay Equations (Winter 2021)
• Seminars Seminars: Advanced Differential Equations and Advanced Delay Equations (Summer 2021)
• Seminar Chemical and Metabolic Networks (Summer 2021)
• Seminar Forschungsprojekt: Advanced Differential Equations (Winter 2020)
• Seminar Geschichte(n) der Dynamik 2 (Winter 2020)
• Exercises Dynamical Systems 1 (Summer 2020)
• Lecture Dynamical Systems III: Delay Differential Equations (Summer 2019)
• Seminar Forschungsprojekt: Advanced Differential Equations (Winter 2018)
• Seminar Forschungsprojekt: Advanced Differential Equations (Winter 2018)
• Seminar Forschungsprojekt: Advanced Differential Equations (Summer 2018)
• Seminar Geschichte(n) der Dynamik (Summer 2018)
• Exercises Analysis III (Winter 2017/18)
• Exercises Analysis II (Summer 2017)
• Exercises Analysis I (Winter 2016/17)
• Seminar Delay Equations (Summer 2016)
• Seminar Forschungsprojekt: Advanced Differential Equations (Summer 2016)
• Exercises Infinite-Dimensional Dynamics (Winter 2015/16)
• Seminar Forschungsprojekt: Advanced Differential Equations (Summer 2015)
• Seminar Chemical Reaction Networks (Winter 2014/15)
• Seminar Forschungsprojekt: Advanced Differential Equations (Winter 2014/15)

Preprints and Publications

F. Veerman, I. Schneider

Controlling pulse stability in singularly perturbed reaction-diffusion systems
Chaos 33, 083135 (2023)
arxiv.org/abs/2304.03342

I. Schneider, J.-Y. Dai

Symmetry Groupoids for Pattern-Selective Feedback Stabilization of the Chafee-Infante Equation
Chaos 33, 073141 (2023)
arxiv.org/abs/2303.18078

Isabelle Schneider

Symmetry Groupoids in Dynamical Systems - Spatio-temporal Patterns and a Generalized Equivariant Bifurcation Theory
Habilitationsschrift, Freie Universität Berlin (2022).
https://refubium.fu-berlin.de/handle/fub188/41223

I. Schneider, B. De Wolff, J.-Y. Dai

Pattern-Selective Feedback Stabilization of Ginzburg-Landau Spiral Waves
Archive for Rational Mechanics and Analysis 246, 631–658 (2022).
arxiv.org/abs/2203.01230

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)
arxiv.org/abs/1708.08101

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)
arxiv.org/abs/1712.01610

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 Universität 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).
arxiv.org/abs/1507.01918

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)