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70704-01 - Lecture with practical courses: Classical and Quantum Nonlinear Dynamics (4 CP)
| Semester | spring semester 2024 |
| Course frequency | Every spring sem. |
| 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 XXXX 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 | English |
| 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 27.02.2024 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 01.03.2024 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 05.03.2024 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 08.03.2024 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 12.03.2024 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 15.03.2024 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 19.03.2024 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 22.03.2024 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 26.03.2024 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 29.03.2024 | 13.15-15.00 | Ostern |
| Tuesday 02.04.2024 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 05.04.2024 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 09.04.2024 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 12.04.2024 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 16.04.2024 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 19.04.2024 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 23.04.2024 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 26.04.2024 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 30.04.2024 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 03.05.2024 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 07.05.2024 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 10.05.2024 | 13.15-15.00 | Auffahrt |
| Tuesday 14.05.2024 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 17.05.2024 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 21.05.2024 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 24.05.2024 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Tuesday 28.05.2024 | 08.15-10.00 | Physik, Seminarzimmer 4.1 |
| Friday 31.05.2024 | 13.15-15.00 | Physik, Seminarzimmer 4.1 |
| Modules |
Module: Specialisation (Master's Studies: Physics) |
| Assessment format | continuous assessment |
| Assessment details | to be discussed in the first lecture on Feb. 27, 2024 |
| 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 |