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5 results on '"University of Zagreb-University of Zagreb"'

1. Normal forms of hyperbolic logarithmic transseries

Author

D. Peran, M. Resman, J.P. Rolin, T. Servi, Department of Mathematics [Zagreb], Faculty of Science [Zagreb], University of Zagreb-University of Zagreb, Institut de Mathématiques de Bourgogne [Dijon] (IMB), Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université de Bourgogne (UB), Institut de Mathématiques de Jussieu - Paris Rive Gauche (IMJ-PRG (UMR_7586)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP), and Servi, Tamara

Subjects
Applied Mathematics, Mathematics::History and Overview, FOS: Mathematics, fixed point theory, formal normal forms, hyperbolic fixed point, Koenigs sequence, linearization, logarithmic transseries, [MATH] Mathematics [math], Dynamical Systems (math.DS), Mathematics - Dynamical Systems, [MATH]Mathematics [math], 34C20, 37C25, 47H10, 39B12, 46A19, 26A12, 12J15, Analysis
Abstract

We find the normal forms of hyperbolic logarithmic transseries with respect to parabolic logarithmic normalizing changes of variables. We provide a necessary and sufficient condition on such transseries for the normal form to be linear. The normalizing transformations are obtained via fixed point theorems, and are given algorithmically, as limits of Picard sequences in appropriate topologies., Comment: 33 pages, 0 figures

Published
2023
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2. Normal forms and embeddings for power-log transseries

Author

Jean-Philippe Rolin, Maja Resman, Pavao Mardešić, Vesna Županović, Institut de Mathématiques de Bourgogne [Dijon] ( IMB ), Université de Bourgogne ( UB ) -Centre National de la Recherche Scientifique ( CNRS ), Department of Applied Mathematics, Faculty of Electrical Engineering and Computing, University of Zagreb, University of Zagreb-Faculty of Electrical Engineering and Computing, University of Zagreb-University of Zagreb, Croatian Science Foundation (HRZZ) project. Grant number : 2285, French-Croatian bilateral Cogito project Classification de points fixes et de singularites a l'aide d'epsilon-voisinages d'orbites et de courbes, University of Zagreb, ANR-11-BS01-0009,STAAVF,Singularités de Trajectoires de Champs de Vecteurs Analytiques et Algébriques ( 2011 ), Institut de Mathématiques de Bourgogne [Dijon] (IMB), Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université de Bourgogne (UB), Department of Applied Mathematics [Zagreb], Faculty of Electrical Engineering and Computing [Zagreb] (FER), and ANR-11-BS01-0009,STAAVF,Singularités de Trajectoires de Champs de Vecteurs Analytiques et Algébriques(2011)

Subjects
Mathematics::Dynamical Systems, [ MATH.MATH-CA ] Mathematics [math]/Classical Analysis and ODEs [math.CA], Transseries, General Mathematics, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS], MSC: 34C20, 37C10, 39B12, 46A19, 28A75, 58K50, 26A12, [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA], Normal forms, 01 natural sciences, Iteration theory, Dulac map, normal forms, embedding in a flow, transseries, 0101 mathematics, Algebra over a field, Mathematics, Series (mathematics), formal normal forms, parabolic transseries, Mathematics::History and Overview, 010102 general mathematics, Power (physics), 010101 applied mathematics, Algebra, Embedding, Embedding in a flow
Abstract

First return maps in the neighborhood of hyperbolic polycycles have their asymptotic expansion as Dulac series, which are series with power-logarithm monomials. We extend the class of Dulac series to an algebra of power-logarithm transseries. Inside this new algebra, we provide formal normal forms of power-log transseries and a formal embedding theorem. The questions of classifications and of embeddings of germs into flows of vector fields are common problems in dynamical systems. Aside from that, our motivation for this work comes from fractal analysis of orbits of first return maps around hyperbolic polycycles. This is a joint work with Pavao Mardešić, Jean-Philippe Rolin and Vesna Županović.

Published
2016
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3. Characterization of the nonlinear behavior of nodular graphite cast iron via inverse identification–Analysis of uniaxial tests

Author

Zvonimir Tomičević, Janoš Kodvanj, François Hild, Department of Engineering Mechanics, Faculty of Mechanical Engineering and Naval Architecture [Zagreb], University of Zagreb-University of Zagreb, Laboratoire de Mécanique et Technologie (LMT), École normale supérieure - Cachan (ENS Cachan)-Centre National de la Recherche Scientifique (CNRS), Bourse Eiffel, and ANR-10-EQPX-0037,MATMECA,MATériaux-MECAnique/Elaboration-Caractérisation-Observation-Modélisation-Simulation(2010)

Subjects
[PHYS.MECA.MEMA]Physics [physics]/Mechanics [physics]/Mechanics of materials [physics.class-ph], 010309 optics, 020303 mechanical engineering & transports, 0203 mechanical engineering, Mechanics of Materials, Mechanical Engineering, 0103 physical sciences, General Physics and Astronomy, digital image correlation, digital volume correlation, full-field measurements, material parameter identification, nonlinear constitutive laws, General Materials Science, 02 engineering and technology, 01 natural sciences
Abstract

International audience; The aim of this work is to estimate the parameters of elastoplastic and damage laws for nodular graphite cast iron from a cyclic uniaxial test on a dog-bone sample. The paper focuses on the identification of material parameters coupling finite element models and full-field measurements. The gap between the measured and simulated data is used to estimate the quality of the proposed constitutive postulates. Last, a cyclic uniaxial experiment is carried out in a lab tomograph to reveal the damage micro-mechanism. Digital volume correlation is used to measure displacement fields in the bulk of the sample. The correlation residuals are used to detect the damage mechanism occurring in the heterogeneous microstructure of the material.

Published
2016
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4. Modeling water and isoproturon dynamics in a heterogeneous soil profile under different urban waste compost applications

Author

Vilim Filipović, Pierre Benoit, Sabine Houot, Valérie Pot, Yves Coquet, Department of Soil Amelioration [Zagreb], Faculty of Agriculture [Zagreb] (UNIZG), University of Zagreb-University of Zagreb, Institut des Sciences de la Terre d'Orléans - UMR7327 (ISTO), Centre National de la Recherche Scientifique (CNRS)-Université d'Orléans (UO)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire des Sciences de l'Univers en région Centre (OSUC), Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS)-Bureau de Recherches Géologiques et Minières (BRGM) (BRGM), Ecologie fonctionnelle et écotoxicologie des agroécosystèmes (ECOSYS), Institut National de la Recherche Agronomique (INRA)-AgroParisTech, Veolia group for financial support of the QUALIAGROINRA AgreenSkills support scheme and the PHC COGITO 2015 bilateral research agreement (contract 33049VJ), European Project: 226536,EC:FP7:ENV,FP7-ENV-2008-1,GENESIS(2009), Department of Soil Amelioration, University of Zagreb, Bureau de Recherches Géologiques et Minières (BRGM) (BRGM)-Observatoire des Sciences de l'Univers en région Centre (OSUC), PSL Research University (PSL)-PSL Research University (PSL)-Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire de Paris, PSL Research University (PSL)-PSL Research University (PSL)-Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS), Biogéosystèmes Continentaux - UMR7327, and Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS)-Bureau de Recherches Géologiques et Minières (BRGM) (BRGM)-Observatoire des Sciences de l'Univers en région Centre (OSUC)

Subjects
Water flow, Soil Science, Soil science, [SDV.SA.SDS]Life Sciences [q-bio]/Agricultural sciences/Soil study, 010501 environmental sciences, engineering.material, 01 natural sciences, 11. Sustainability, Compost amendments, Leaching (agriculture), HYDRUS-2D, 0105 earth and related environmental sciences, Conventional tillage, Soil heterogeneity, Isoproturon, [SDE.IE]Environmental Sciences/Environmental Engineering, Compost, 04 agricultural and veterinary sciences, 15. Life on land, 6. Clean water, Tillage, Soil structure, Lysimeter, 040103 agronomy & agriculture, engineering, 0401 agriculture, forestry, and fisheries, Soil horizon, Environmental science
Abstract

International audience; Compost amendments and tillage practices can modify soil structure and create heterogeneities at the local scale. Tillage affects soil physical properties and consequently water and solute transport in soil, while compost addition to soil influences pesticide sorption and degradation processes. Based on the long-term field experiment QualiAgro (a INRA–Veolia partnership), a modeling study was carried out using HYDRUS-2D to evaluate how two different compost types combined with the presence of heterogeneities due to tillage affect water and isoproturon dynamics in soil compared to a control plot. A municipal solid waste compost (MSW) and a co-compost of sewage sludge and green wastes (SGW) have been applied to experimental plots. In each plot, wick lysimeters, TDR probes, and tensiometers were installed to monitor water and solute dynamics. In the plowed layer, four zones differing in their structure were identified: compacted clods, non-compacted soil, interfurrows, and the plow pan. From 2004 to 2010, the unamended control (CONT) plot had the largest cumulative water outflow (1388 mm) compared to the MSW plot (962 mm) and SGW plot (979 mm). After calibration, the model was able to describe cumulative water outflow for the whole 2004–2010 period with a model efficiency value of 0.99 for all three plots. The CONT plot had the largest isoproturon cumulated leaching (21.31 μg) while similar cumulated isoproturon leaching was measured in the SGW (0.663 μg) and MSW (0.245 μg) plots. The model was able to simulate isoproturon leaching patterns except for the large preferential flow events that were observed in the MSW and CONT plots. The timing of these preferential flow events could be reproduced by the model but not their magnitude. Modeling results indicate that spatial and temporal variations in pesticide degradation rate due to tillage and compost application play a major role in the dynamics of isoproturon leaching. Both types of compost were found to reduce isoproturon leaching on the 6 year duration of the experiment.

Published
2016
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5. Cortical Dynein Controls Microtubule Dynamics to Generate Pulling Forces that Position Microtubule Asters

Author

Liedewij Laan, Ronald D. Vale, Magdalena Preciado López, Guillaume Romet-Lemonne, Samara L. Reck-Peterson, Martijn van Duijn, Frank Jülicher, Marileen Dogterom, Nenad Pavin, Julien Husson, FOM Institute for Atomic and Molecular Physics (AMOLF), Physiology Course, Marine Biological Laboratory, Woods Hole, MA 02543, United States, affiliation inconnue, Max Planck Institute for the Physics of Complex Systems (MPI-PKS), Max-Planck-Gesellschaft, Department of Physics [Zagreb], Faculty of Science [Zagreb], University of Zagreb-University of Zagreb, Laboratoire d'hydrodynamique (LadHyX), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Howard Hughes Medical Institute, Department of Cellular and Molecular Pharmacology, University of California San Francisco, San Francisco, CA 94158, United States, and Department of Cell Biology, Harvard Medical School, Boston, MA 02115, United States

Subjects
Cytoplasmic Dyneins, Saccharomyces cerevisiae Proteins, Dynein, Saccharomyces cerevisiae, macromolecular substances, Aster (cell biology), Biology, Microtubules, Article, General Biochemistry, Genetics and Molecular Biology, Fibroblast migration, 03 medical and health sciences, 0302 clinical medicine, Microtubule, Cytoskeleton, 030304 developmental biology, Microtubule nucleation, 0303 health sciences, Biochemistry, Genetics and Molecular Biology(all), Microtubule organizing center, Biomechanical Phenomena, Cell biology, 030217 neurology & neurosurgery, barrier-attached dynein, microtubule ends, microtubule asters
Abstract

International audience; Dynein at the cortex contributes to microtubule-based positioning processes such as spindle positioning during embryonic cell division and centrosome positioning during fibroblast migration. To investigate how cortical dynein interacts with microtubule ends to generate force and how this functional association impacts positioning, we have reconstituted the 'cortical' interaction between dynein and dynamic microtubule ends in an in vitro system using microfabricated barriers. We show that barrier-attached dynein captures microtubule ends, inhibits growth, and triggers microtubule catastrophes, thereby controlling microtubule length. The subsequent interaction with shrinking microtubule ends generates pulling forces up to several pN. By combining experiments in microchambers with a theoretical description of aster mechanics, we show that dynein-mediated pulling forces lead to the reliable centering of microtubule asters in simple confining geometries. Our results demonstrate the intrinsic ability of cortical microtubule-dynein interactions to regulate microtubule dynamics and drive positioning processes in living cells. © 2012 Elsevier Inc.

Published
2012
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