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70704-01 - Lecture with practical courses: Classical and Quantum Nonlinear Dynamics (4 CP)
| Semester | spring semester 2025 |
| Course frequency | Irregular |
| Lecturers | Christoph Bruder (christoph.bruder@unibas.ch, Assessor) |
| Content | Preliminary outline: I. One-dimensional flows I.1 Flows on the line I.2 Bifurcations II. Two-dimensional flows II.1 Linear systems II.2 Phase plane II.3 Limit cycles II.4 Bifurcations revisited III. Chaos III.1 Lorenz equations IV. Synchronization IV.1 Basic concepts IV.2 Locking of one oscillator to an external harmonic signal IV.3 Mutual synchronization of two oscillators IV.4 Many oscillators: The Kuramoto model V. Parametrically-pumped oscillators V.1 Mathieu equation; Floquet theory V.2 The nonlinear parametric resonator V.3 Coupled parametric resonators VI. Quantum nonlinear dynamics VI.1 From closed to open quantum systems VI.2 The quantum parametric oscillator VI.3 Quantum synchronization VI.4 Quantum chaos |
| Bibliography | S.H. Strogatz, Nonlinear dynamics and chaos with applications to physics, biology, chemistry and engineering. 3rd edition 2024 CRC Press. PHY NA 296 Ed. 3 A. Eichler and O. Zilberberg, Classical and Quantum Parametric Phenomena. Oxford University Press. PHY NA 297 A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A universal concept in nonlinear sciences. Cambridge University Press. PHY TH 497 und online in the UniBib |
| Weblink | link to course web page |
| Language of instruction | German |
| Use of digital media | No specific media used |
| Interval | Weekday | Time | Room |
|---|---|---|---|
| wöchentlich | Tuesday | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| wöchentlich | Friday | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
Dates
| Date | Time | Room |
|---|---|---|
| Tuesday 18.02.2025 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 21.02.2025 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 25.02.2025 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 28.02.2025 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 04.03.2025 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 07.03.2025 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 11.03.2025 | 08.15-10.00 | Fasnachstferien |
| Friday 14.03.2025 | 13.15-15.00 | Fasnachstferien |
| Tuesday 18.03.2025 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 21.03.2025 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 25.03.2025 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 28.03.2025 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 01.04.2025 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 04.04.2025 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 08.04.2025 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 11.04.2025 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 15.04.2025 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 18.04.2025 | 13.15-15.00 | Ostern |
| Tuesday 22.04.2025 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 25.04.2025 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 29.04.2025 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 02.05.2025 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 06.05.2025 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 09.05.2025 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 13.05.2025 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 16.05.2025 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 20.05.2025 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 23.05.2025 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 27.05.2025 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 30.05.2025 | 13.15-15.00 | Auffahrt |
| Modules |
Module: Specialisation (Master's Studies: Physics) |
| Assessment format | continuous assessment |
| Assessment details | to be discussed in the first lecture on Feb. 18, 2025 |
| Assessment registration/deregistration | Reg.: course registration, dereg: cancel course registration |
| Repeat examination | no repeat examination |
| Scale | 1-6 0,5 |
| Repeated registration | as often as necessary |
| Responsible faculty | Faculty of Science, studiendekanat-philnat@unibas.ch |
| Offered by | Departement Physik |