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00: The Theoretical Minimum: What You Need to Know to Start, 09.08.2017
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Вміст надано Karlsruher Institut für Technologie (KIT). Весь вміст подкастів, включаючи епізоди, графіку та описи подкастів, завантажується та надається безпосередньо компанією Karlsruher Institut für Technologie (KIT) або його партнером по платформі подкастів. Якщо ви вважаєте, що хтось використовує ваш захищений авторським правом твір без вашого дозволу, ви можете виконати процедуру, описану тут https://uk.player.fm/legal.
00 | 0:00:00 Start 0:02:45 The Speakers... 0:15:47 Introduction 0:18:49 van Leeuwenhoek's estimate 0:19:28 Projections all use logistic curve 0:20:39 Carrying capacity K 0:21:54 Equilibrium versus steady-state 0:28:06 Stability classification of logistic Equ. 0:28:58 Relaxation time scale 0:29:45 Longer term view of population growth 0:30:58 Longer term view ... 0:32:31 von Foerester et al. (1960) 0:41:16 von Foerester et al. (1960) – the Doomsday date 0:46:00 Review of Johansen and Sornette(2001) – Physica A(vol. 294, 465-502) 0:47:49 Scaling and Complex Exponents 0:52:04 Example: Human population 0:52:41 Project idea 0:54:10 Complex Exponents 0:54:37 New way to fingerprint collapse in complex systems? 0:56:11 Vorticity Equation: Instantaneous version 0:58:19 Blow up in vorticity dynamics 1:00:03 Connection to critical points in complex systems 1:01:03 Critical points 1:02:03 Critical slowdown at equilibrium points 1:03:48 Critical slow-down 1:05:25 Discrete scal invariance 1:06:48 Project idea: A dynamical model exhibiting log-periodic oscillations 1:08:41 Salient points covered in the lecture: 1:09:17 Conclusion 1:09:44 Other ideas for group projects:
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