| Lecture | Date/Day | Topics | Relevant slides/notes |
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| 1B | 2018/08/22 (W) | Logistics and introduction. Recap of linearity. What are oscillators. Examples of oscillators. | |
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| 2A | 2018/08/27 (M) | Introduction contd.. Overview of ring, relaxation and harmonic oscillators. Oscillator phenomena and applications. | |
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| 2B | 2018/08/29 (W) | Introduction contd.. Oscillator uses and phenomena: pattern formation, computation. Amplitude stability of oscillators. Linear oscillators are always amplitude unstable. | |
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| 3B | 2018/09/05 (W) | Amplitude stability of oscillators - contd. Nonlinear oscillators can be amplitude unstable or stable. ODE models of oscillators and their properties. | |
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| 4A | 2018/09/10 (M) | Poincare-Bendixon theorem. Higher-d oscillators; non-periodic bounded solutions (chaos). Idealized 3-stage ring oscillator - limit cycle derivation. | |
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| 4B | 2018/09/12 (W) | Harmonic oscillators. SHM, damped SHM. Towards amplitude-stable harmonic oscillation. The Barkhausen criterion and its shortcomings. | |
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| 5A | 2018/09/17 (M) | Nonlinear harmonic oscillators. Describing function analysis. | |
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| 5B | 2018/09/19 (W) | Nonlinear harmonic oscillators. Describing function analysis (contd.). | |
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| 6A | 2018/09/24 (M) | Relaxation oscillators. | |
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| 7B | 2018/10/03 (W) | Stability. Lyapunov, uniform Lyapunov, asymptotic and exponential stability. | |
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| 8A | 2018/10/09 (Tu) | Stability contd.: orbital, uniform orbital, asymptotic orbital stability. Asymptotic phase property. | |
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| 8B | 2018/10/10 (W) | Linearization around DC operating points. | |
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| 9A | 2018/10/15 (M) | Time Invariance. LTI system stability via eigendecomposition. | |
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| 9B | 2018/10/17 (W) | LTI system stability (contd.). Time-varying linearization. | |
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| 10A | 2018/10/22 (M) | Floquet Theory. | |
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| 10B | 2018/10/24 (W) | Floquet Theory (contd.). | |
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| 11A | 2018/10/29 (M) | Floquet applied to oscillators. Inherent contradiction in time-varying linear analysis. | |
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| 11B | 2018/10/31 (W) | Nonlinear oscillator perturbation analysis and the PPV phase equation. | |
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| 12A | 2018/11/05 (M) | Detecting injection locking by phase comparison. PPV equation's ability to predict injection locking (numerically). | |
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| 13B | 2018/11/14 (W) | Understanding injection locking analytically. Adlerization/averaging using MPDE concepts. | |
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| 14A | 2018/11/19 (M) | Exam. | - |
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| 15A | 2018/11/26 (M) | Sub-harmonic injection locking. Encoding bits using SHIL locks. Flipping a bit. Phase based Boolean logic. | |
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| 15B | 2018/11/28 (W) | Hard computational problems. MAX-CUT. The Ising model and problem. Mapping MAX-CUT to Ising. Coupled oscillator networks under 2-SHIL. | |
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| 15C | 2018/11/30 (F) | Kuramoto equation under 2-SHIL. Analysis under lock assumption. Non-increasing Lyapunov function for the Kuramoto system. Connection with the Ising Hamiltonian. | |