Draft - Minutes for the PyHEADTAIL part:

• PHEADTAIL used for non0-liear dynamics and modukation effects
• Natalia explained how she implemnted non-liear effects; a linear map was used in combination with single non-liear elems in thin lens approximation
• She went through the setting up of simulations she had to do for her studies
• Natalia shows some plots of results using non-linear elements in PyHEADTAIL.
• She wnet through details of how to choose the values to parameterize the non-linear elements using in PyHEDATAIL. Many alues are found empirically by setting values and checking whether the resulted effects feature observatiosn that one wants to see. A simulation takes less than 5 seconds.
• Pure detuning effects are also used to show a better defined phase space. Extra detuning can be applied without enahnceing the resonance.
• She showed some examples of different initializations for better samplig of the phase space
• Natalia then showed some results she obtained using PyHEADTAIL to study modulation effects.
• Nataila stressed for plotting the phase space in presence of modulation, it is important to make a plot only every modulation period, otherwise phase spaces blur out as different sections fall on top of each other.
• FMAs need more particles and other initial distributions
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Qeustions:

• Any kimitation Extra efects that could be interestng?
• How muc longer does the modulation take?
•  Typical time scales of modulations?
• FMA initial distributions  - with on-linear sampling.
• 80**2 and 1024 * 50 //