TESTING THE METHOD OF MULTIPLE SCALES AND THE AVERAGING PRINCIPLE FOR MODEL PARAMETER ESTIMATION OF QUASIPERIODIC TWO TIME-SCALE MODELS
Papáček, Štěpán; Matonoha, Ctirad
2023 - English
Some dynamical systems are characterized by more than one timescale, e.g. two well separated time-scales are typical for quasiperiodic systems. The aim of this paper is to show how singular perturbation methods based on the slow-fast decomposition can serve for an enhanced parameter estimation when the slowly changing features are rigorously treated. Although the ultimate goal is to reduce the standard error for the estimated parameters, here we test two methods for numerical approximations of the solution of associated forward problem: (i) the multiple time-scales method, and (ii) the method of averaging. On a case study, being an under-damped harmonic oscillator containing two state variables and two parameters, the method of averaging gives well (theoretically predicted) results, while the use of multiple time-scales method is not suitable for our purposes.
Keywords:
Dynamical system; Singular perturbation; Averaging; Parameter estimation; Slow-fast decomposition; Damped oscillations
Fulltext is available at external website.
TESTING THE METHOD OF MULTIPLE SCALES AND THE AVERAGING PRINCIPLE FOR MODEL PARAMETER ESTIMATION OF QUASIPERIODIC TWO TIME-SCALE MODELS
Some dynamical systems are characterized by more than one timescale, e.g. two well separated time-scales are typical for quasiperiodic systems. The aim of this paper is to show how singular ...
GA 19-07635S: Outputs and Results
Rehák, Branislav
2023 - English
This manuscript aims to deliver a survey of results obtained during the solution of the project No. GA19-07635S of the Czech Science Foundation. The timespan dedicated to the work on this project was 1.3.2019 - 30.6.2022. The main area dealt with were\nnonlinear multi-agent systems and their synchronization, further, attention was paid to some auxiliary results in the area of nonlinear observers. This Report briefly introduces the Project, provides a summary of the results obtained and also sketches an outline how these results will be applied and extended in future.
Keywords:
multi-agent systems; nonlinear multi-agent systems; synchronization
Fulltext is available at external website.
GA 19-07635S: Outputs and Results
This manuscript aims to deliver a survey of results obtained during the solution of the project No. GA19-07635S of the Czech Science Foundation. The timespan dedicated to the work on this project was ...
2TDK Railway, profile P18. Datings. Final Report.
Bosák, Pavel; Zupan Hajna, N.; Hercman, H.; Horáček, I.; Kdýr, Šimon; Kogovšek, B.
2023 - English
Samples for datings were taken in the railway construction (2TDK) near village of Divača, Classical Karst on October 12, 2021: (1) vertebrate bones in cave 2TDK – 002 at the profile P18, cave entrance appeared during the construction operations on cleaned karst surface in a wall of karst depression. Samples of mammal bones and gastropods were collected in situ on cave bottom, and (2) pieces of speleothems occurring in non in situ position on artificially planated surface near the cave opening were collected. U-series: no numerical date was obtained as geochemistry of sample indicate open system, probably due to recrystallization of sample in soil cover. Paleomagnetism: The transition of N- and R-polarized samples cannot be identified more precisely as U-series radiometric dating yielded no numerical results. The transition easily can represent Brunhes/Matuyama boundary (at 773 ka) as well as any of older such transitions (e. g., base of Jaramillo, base of Olduvai). In any case the speleothem grew in a closed cave space with roof, probably as flowstone (inclusion of red soils above the base) and later as baldachin on eroded allogenic fill of the paleocave. Vertebrate paleontology: bone remains of small and larger vertebrates represent subrecent to Holocene species. Sorex alpinus represents the species quite rare in fossil record, but recetly limited to variegated woodland habitats with high surface humidity. A chamois Rupicapra rupicapra represents a resident species present in Slovenia throughout all stages of a glacial cycle, recently restricted to mountain habitats.
Keywords:
Divača Karst; unroofed cave; speleothem; U-Th dating; paleomagnetism; zoopaleontology
Available at various institutes of the ASCR
2TDK Railway, profile P18. Datings. Final Report.
Samples for datings were taken in the railway construction (2TDK) near village of Divača, Classical Karst on October 12, 2021: (1) vertebrate bones in cave 2TDK – 002 at the profile P18, cave entrance ...
Analýza malty z 19. století
Bauerová, Pavla; Frankeová, Dita; Slížková, Zuzana; Vondráčková, Michaela
2023 - Czech
Chemické a mineralogické složení pojiva a plniva malty pomocí elektronové mikroskopie (SEM-EDS) a termické analýzy Chemical and mineralogical composition of the binder and the aggregates of the mortar, using SEM-EDS and thermal analysis
Keywords:
SEM-EDS analysis; historic mortar; hydraulic lime; decalcification; carbonatization
Available at various institutes of the ASCR
Analýza malty z 19. století
Chemické a mineralogické složení pojiva a plniva malty pomocí elektronové mikroskopie (SEM-EDS) a termické analýzy...
Some modifications of the limited-memory variable metric optimization methods
Vlček, Jan; Lukšan, Ladislav
2023 - English
Several modifications of the limited-memory variable metric (or quasi-Newton) line search methods for large scale unconstrained optimization are investigated. First the block version of the symmetric rank-one (SR1) update formula is derived in a similar way as for the block BFGS update in Vlˇcek and Lukˇsan (Numerical Algorithms 2019). The block SR1 formula is then modified to obtain an update which can reduce the required number of arithmetic operations per iteration. Since it usually violates the corresponding secant conditions, this update is combined with the shifting investigated in Vlˇcek and Lukˇsan (J. Comput. Appl. Math. 2006). Moreover, a new efficient way how to realize the limited-memory shifted BFGS method is proposed. For a class of methods based on the generalized shifted economy BFGS update, global convergence is established. A numerical comparison with the standard L-BFGS and BNS methods is given.
Keywords:
unconstrained minimization; variable metric methods; limited-memory methods; variationally derived methods; arithmetic operations reduction; global convergence
Available in a digital repository NRGL
Some modifications of the limited-memory variable metric optimization methods
Several modifications of the limited-memory variable metric (or quasi-Newton) line search methods for large scale unconstrained optimization are investigated. First the block version of the symmetric ...
Room temperature ethanol detection using carbon materials
Kočí, Michal
2023 - English
Allotropic forms of carbon, in particular graphene oxide (GO) or nanocrystalline diamond (NCD), attracted the attention of many research groups due to their unique electronic structures and extraordinary physical and chemical properties, preferable for many different applications, including sensor devices. This work focuses on responses of various sensing layers (NCD with hydrogen termination (H-NCD), graphene oxide (GO), reduced graphene oxide (rGO), thiol-functionalized graphene oxide (GO-SH) and their hybrid structures to ethanol vapor with concentrations up to 100 ppm in synthetic air at room temperature. The measured parameters of the tested sensors, especially stability, reproducibility and regeneration, are compared and critically evaluated. The high sensitivity of tested sensors achieved at room temperature makes them very promising for monitoring ethanol vapor as well as other volatile substances (e.g., isopropyl-alcohol or acetone).
Keywords:
gas sensor; nanocrystalline diamond (NCD); graphene oxide (GO); reduced graphene oxide (rGO); thiol-functionalized graphene oxide (GO-SH)
Available at various institutes of the ASCR
Room temperature ethanol detection using carbon materials
Allotropic forms of carbon, in particular graphene oxide (GO) or nanocrystalline diamond (NCD), attracted the attention of many research groups due to their unique electronic structures and ...
Dynamická zkouška dvojice zavěšených lávek pro pěší a cyklisty v oblasti Dolních Vítkovic
Hračov, Stanislav; Urushadze, Shota; Macháček, Michael
2023 - Czech
Zpráva popisuje postup provedení a výsledky dynamické zatěžovací zkoušky dvojice lávek pro pěší v Ostravě. Zjištěné modální vlastnosti skutečných konstrukcí jsou porovnány s výsledky teoretické modální analýzy jejich numerických modelů. Úroveň vibrací mostovek obou lávek od přechodů chodců a běžců je poté posouzena s ohledem na jejich pohodlí a zdraví. The report describes the procedure and results of the dynamic loading test carried out at a pair of footbridges in Ostrava. The determined modal properties of the real structures are compared with the results of the theoretical modal analysis of their numerical models. The levels of the vibrations of the decks originated from pedestrians and runners are assessed with respect to their comfort and health.
Keywords:
footbridge; dynamic loading test; pedestrian load; vibration comfort criteria; tuned mass dampers
Available at various institutes of the ASCR
Dynamická zkouška dvojice zavěšených lávek pro pěší a cyklisty v oblasti Dolních Vítkovic
Zpráva popisuje postup provedení a výsledky dynamické zatěžovací zkoušky dvojice lávek pro pěší v Ostravě. Zjištěné modální vlastnosti skutečných konstrukcí jsou porovnány s výsledky teoretické ...
Výzkum zříceniny hradu Štamberk v kontextu regionu
Novotný, Jakub; Ramešová, Michaela
2023 - Czech
Příspěvek přibližuje dosavadní výsledky výzkumu hradu Štamberk realizovaného dle nově definovaných zásad pro výzkum, správu a prezentaci historických zřícenin, jehož cílem je podpořit nová řešení jak zvýšit využitelnost hradu pro cestovní ruch a integrovat památku do regionálních struktur lokalit s potenciálem cestovního ruchu. Hrad byl významným panstvím v rámci území dnešní Vysočiny. Předmětem řešení projektu, na kterém od roku 2020 spolupracuje ÚTAM AV ČR s Mikroregionem Telčsko, je výzkum historie hradu se zaměřením na technologická hlediska jeho výstavby, stavebních změn i zániku. Součástí je vytvoření 3D modelu zříceniny v krajinném kontextu. Projekt se soustředí na dějiny výroby vápna a související inventarizaci geologických lokalit. Tento výzkum přináší nové informace důležité nejen pro poznání historie hradu či pro studium analogických situací, ale také pro zvýšení atraktivity památky pro cestovní ruch. Příspěvek nejprve představí aktuální standardy výzkumu a managementu zřícenin, následně se bude zabývat nástinem potenciálu výzkumu Štamberka pro oblast cestovního ruchu s důrazem na historii hradu, mapování krajinného rámce a identifikace vazeb na regionální prostředí. Na závěr zrekapituluje dosavadní výsledky využitelné k prezentaci historického, kulturního i přírodního bohatství regionu se specifickou vazbou na cestovní ruch. The paper provides an overview of the research results of the Štamberk castle carried out according to newly defined principles for the research, management and presentation of historical ruins, the aim of which is to support new solutions to increase the usability of the castle for tourism and to integrate the monument into the regional structures of localities with tourism potential. The castle was an important place within the territory of today's Highlands. The subject of the project, on which ITAM CAS has been collaborating with the Telčsko Microregion since 2020, is research into the history of the castle with a focus on the technological aspects of its construction, structural changes and demise. It includes the creation of a 3D model of the ruins in a landscape context. The project focuses on the history of lime production and the related inventory of geological sites. This research brings new information important not only for learning about the history of the castle or for studying analogous situations, but also for increasing the attractiveness of the monument for tourism. The paper first presents the current standards of research and management of ruins, then it deals with an outline of the research potential of Štamberk for the field of tourism with an emphasis on the history of the castle, mapping the landscape framework and identifying links to the regional environment. At the end, it summarizes the results so far that can be used to present the historical, cultural and natural wealth of the region with a specific link to tourism.
Keywords:
Štamberk; ruin; technological research; presentation of monuments; tourism
Available at various institutes of the ASCR
Výzkum zříceniny hradu Štamberk v kontextu regionu
Příspěvek přibližuje dosavadní výsledky výzkumu hradu Štamberk realizovaného dle nově definovaných zásad pro výzkum, správu a prezentaci historických zřícenin, jehož cílem je podpořit nová řešení jak ...
SMV-2023-03: Držák autoemisních katod
Knápek, Alexandr; Horáček, Miroslav; Klein, Pavel
2023 - Czech
Smluvní výzkum (SMV) se zabývá vývojem modulárního držáku pro vývoj a testování auto-emisních katod v podmínkách ultra-vysokého vakua. Výzkum kombinuje znalosti z vakuové techniky, silnoproudé elektrotechniky a povrchové fyziky k dosažení spolehlivého zařízení, které umožňuje pracovat s polně-emisními katodami ve vakuových podmínkách, a to v diodové a triodové konfiguraci. Hlavním výstupem pro objednavatele je výkresová dokumentace, která umožňuje aparaturu replikovat a dále jeden kus funkčního prototypu, který byl v rámci SMV zkonstruován k ověření funkcionality. The contract research (CR) deals with the development of a modular holder for the development and testing of field-emission cathodes under ultra-high vacuum conditions. The research combines knowledge from vacuum engineering, power electronics and surface physics to achieve a reliable device that allows working with field-emission cathodes under vacuum conditions in diode and triode configurations. The main deliverables for the customer are drawings that allow the apparatus to be replicated and one piece of working prototype that has been constructed within the CR to verify the function.
Keywords:
field-emission cathode holder; relief structure; modular holder
Available at various institutes of the ASCR
SMV-2023-03: Držák autoemisních katod
Smluvní výzkum (SMV) se zabývá vývojem modulárního držáku pro vývoj a testování auto-emisních katod v podmínkách ultra-vysokého vakua. Výzkum kombinuje znalosti z vakuové techniky, silnoproudé ...
Zapojení rašelinišť do odtoku z povodí
Vlček, Lukáš; Falátková, Kristýna
2023 - Czech
Příspěvek se věnuje hydrologickému režimu povodí, kde rašeliniště tvoří přibližně polovinu rozlohy. Pomocí modelu byly hodnoceny hydrologické procesy v rašeliništi a okolním lese. Z výsledků vyplývá, že rašeliniště výrazně zvyšuje fluktuaci vodního režimu místních toků. Vodní bilance zase ukazuje snížený ochalozovací efekt rašelinišť bez stromového patra oproti lesům na organominerální půdě. Revitalizace rašelinišť tak může mít kromě pozitivního ekologického aspektu negativní hydroogický dopad na okolní krajinu a místní toky. This research focuses on the basin's hydrological regime, where peatlands make up approximately half of the area. Hydrological processes in the peat bog and the surrounding forest were evaluated using the HBV model. The results show that the peatlands significantly increase the water regime fluctuation of local streams. Moreover, water balance shows a lower cooling effect of tree-less peat bogs than forests on organo-mineral soils. Except for a positive ecological aspect, peatland restoration can have a negative hydrological impact on the surrounding landscape and local streams.
Keywords:
water balance; peat bog; runoff formation
Fulltext is available at external website.
Zapojení rašelinišť do odtoku z povodí
Příspěvek se věnuje hydrologickému režimu povodí, kde rašeliniště tvoří přibližně polovinu rozlohy. Pomocí modelu byly hodnoceny hydrologické procesy v rašeliništi a okolním lese. Z výsledků vyplývá, ...
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