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giovedì 3 ottobre 2024
# gst: extreme events in two-coupled chaotic oscillators.
mercoledì 25 settembre 2024
# gst: apropos of intermittent switchings, presence of chaotic saddles in fluid turbulence.
giovedì 8 agosto 2024
# gst: when a continuous attractor could survive seemingly destructive bifurcations
giovedì 1 agosto 2024
# game: hypothesis of a geometric design of chaotic attractors, on demand
martedì 9 luglio 2024
# gst: discontinuous transition to chaos in a canonical random neural network
venerdì 5 luglio 2024
# gst: the hypothesis of the onset of extreme events via an attractor merging crisis.
sabato 17 dicembre 2022
# gst: transitions, how two saddles can increase the transient times.
sabato 13 agosto 2022
# gst: how a synchronization could emerge from chaotic activities
lunedì 3 gennaio 2022
# gst: weird but not so weird dynamics, basins with tentacles could be common in high-dimensional systems.
mercoledì 11 settembre 2019
# gst: apropos to try numerically to discover states with desired response properties in chaotic (i.e. normal - ab.normal) systems, by Hridesh, Deng, Jean-Jacques, Jeremy.
<<
Systems with many stable configurations abound in nature, both in living and inanimate matter. Their inherent nonlinearity and sensitivity to small perturbations make them challenging to study, particularly in the presence of external driving, which can alter the relative stability of different attractors. Under such circumstances, one may ask whether any clear relationship holds between the specific pattern of external driving and the particular attractor states selected by a driven multistable system. To gain insight into this question, (AA) numerically study driven disordered mechanical networks of bistable springs which possess a vast number of stable configurations arising from the two stable rest lengths of each spring, thereby capturing the essential physical properties of a broad class of multistable systems. (AA) find that the attractor states of driven disordered multistable mechanical networks are fine-tuned with respect to the pattern of external forcing to have low work absorption from it. Furthermore, (AA) find that these drive-specific attractor states are even more stable than expected for a given level of work absorption. (AA) results suggest that the driven exploration of the vast configuration space of these systems is biased towards states with exceptional relationship to the driving environment, and could therefore be used to 'discover' states with desired response properties in systems with a vast landscape of diverse configurations.
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Hridesh Kedia, Deng Pan, et al. Drive-specific adaptation in disordered mechanical networks of bistable springs. arXiv:1908.09332v1 [nlin.AO] Aug 25, 2019. https://arxiv.org/abs/1908.09332
Also
keyword "three" in: FonT https://flashontrack.blogspot.com/search?q=three
keyword "three" in: Notes https://inkpi.blogspot.com/search?q=three
sabato 12 gennaio 2019
# gst: how two chaotic systems can synchronize
<< For the first time the researchers were able to measure the fine grain process that leads from disorder to synchrony, discovering a new kind of synchronization between chaotic systems. They call this new phenomenon Topological Synchronization. >>
<< Chaotic systems, although unpredictable, still have a subtle global organization called strange attractor (..) Every chaotic system attracts its own unique strange attractor. By Topological Synchronization we mean that two strange attractors have the same organization and structures. At the beginning of the synchronization process, small areas on one strange attractor have the same structure of the other attractor, meaning that they are already synced to the other attractor. At the end of the process, all the areas of one strange attractor will have the structure of the other and complete Topological Synchronization has been reached. >> Nir Lahav.
Scientists reveal for first time the exact process by which chaotic systems synchronize. Bar-Ilan University. Jan 7, 2019.
https://m.phys.org/news/2019-01-scientists-reveal-exact-chaotic-synchronize.html
Nir Lahav, Irene Sendina-Nadal, et al.
Synchronization of chaotic systems: A microscopic description. Phys. Rev. E 98, 052204. Nov 6, 2018. doi: 10.1103/PhysRevE.98.052204
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.98.052204