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Step 1: Protophase-to-phase transformation
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Classroom Contents
Inferring Coupled Oscillatory Dynamics From Data - IPAM at UCLA
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- 1 Intro
- 2 Network reconstruction via the phase dynamics
- 3 Theory of the phase dynamics
- 4 Theoretical framework: Phase equations
- 5 Protophase vs the true phase
- 6 Step 1: Protophase-to-phase transformation
- 7 Step 2: Reconstruction of the phase equations
- 8 protophases vs phases
- 9 Example 2: Cardiorespiratory interaction
- 10 Coupling function for cardiorespiratory interaction
- 11 Remarks about higher-order couplings and hypernetworks
- 12 Conclusions to this part
- 13 Phase demodulation problem
- 14 Iterative Hilbert transform embeddings
- 15 Evolution of the error
- 16 Simple waveform, strong modulation
