Format: Hardback, 220 pages, height x width: 235x155 mm, Approx. 220 p., 1 Hardback
Series: Bolyai Society Mathematical Studies 30
Pub. Date: 24-Jun-2024
ISBN-13: 9783031566103
The special semester 'Singularities and low dimensional topology' in the Spring of 2023 at the Erdos Center (Budapest) brought together algebraic geometers and topologists to discuss and explore the strong connection between surface singularities and topological properties of three- and four-dimensional manifolds. The semester featured a Winter School (with four lecture series) and several focused weeks. This volume contains the notes of the lecture series of the Winter School and some of the lecture notes from the focused weeks. Topics covered in this collection range from algebraic geometry of complex curves, lattice homology of curve and surface singularities to novel results in smooth four-dimensional topology and grid homology, and to Seiberg-Witten homotopy theory and ‘spacification’ of knot invariants. Some of these topics are already well-documented in the literature, and the lectures aim to provide a new perspective and fresh connections. Other topics are rather new and have been covered only in research papers. We hope that this volume will be useful not only for advanced graduate students and early-stage researchers, but also for the more experienced geometers and topologists who want to be informed about the latest developments in the field.
Preface.
Chapter 1. Heegaard Floer Homology by C.-M. Michael Wong, Sarah Zampa.
Chapter 2. A Knot-theoretic Tour of Dimension Four by Kyle Hayden, M?rton Beke.
Chapter 3. Severi Strata of Plane Curve Singularities by Duco van Straten, L?szlo Koltai.
Chapter 4. Lattice Cohomology by Andr?s Nemethi, Tam?s ?goston.
Chapter 5. A Tour of Monopole Floer Spectra by Matthew Stoffregen.
Chapter 6. Spectra in Khovanov and knot Floer theories by Sucharit Sarkar, Marco Marengon, Andr?s Stipsicz.
Format: Hardback, 234 pages, height x width: 235x155 mm, 71 Illustrations, color;
24 Illustrations, black and white; IV, 240 p. 96 illus., 69 illus. in color.,
Series: The IMA Volumes in Mathematics and its Applications 166
Pub. Date: 02-Jul-2024
ISBN-13: 9783031585159
The purpose of this work is to focus mathematical modeling on issues affecting women’s health. Working in six collaborative teams, researchers developed new mathematical models to address questions in a range of application areas. Topics include HIV, oral contraceptives, blood clotting, breast cancer, neonatal respiration, and outbreak forecasting. The work is the result of newly formed collaborative groups begun during the Collaborative Workshop for Women in Mathematical Biology hosted by the Institute of Mathematics and its Applications and UnitedHealth Group Optum in June 2022.
This is an open access book.
Collaborative Workshop for Women in Mathematical Biology: Mathematical
Modeling for Womens Health.- Extended-Release Pre-Exposure Prophylaxis and
Drug-Resistant HIV.- A Survey of Mathematical Modeling of Hormonal
Contraception and the Menstrual Cycle.- Studying the Effects of Oral
Contraceptives on Coagulation Using a Mathematical Modeling
Approach.- Deconstructing the Contributions of Heterogeneity to
Combination Treatment of Hormone Sensitive Breast Cancer.- Towards a
Mathematical Understanding of Ventilator-Induced Lung Injury in Preterm Rat
Pups.- Estimation of Time-Dependent Transmission Rate for COVID-19 SVIRD
Model Using Predictor-Corrector Algorithm.- Index.
Format: Hardback, 470 pages, height x width: 235x155 mm, 298 Illustrations,
color; 97 Illustrations, black and white; Approx. 480 p.,
Series: Springer Proceedings in Mathematics & Statistics 453
Pub. Date: 23-Jun-2024
ISBN-13: 9783031564918
This proceedings volume gathers selected, peer-reviewed papers presented at the Dynamical Systems Theory and Applications International Conference - DSTA 2021, held virtually on December 6-9, 2021, organized by the Department of Automation, Biomechanics, and Mechatronics at Lodz University of Technology, Poland. This volume concentrates on studies on applications, while Volume II focuses on numerical and analytical approaches.
Being a truly international conference, this 16th iteration of DSTA received submissions from authors representing 52 countries. The program covered both theoretical and experimental approaches to widely understood dynamical systems, including topics devoted to bifurcations and chaos, control in dynamical systems, asymptotic methods in nonlinear dynamics, stability of dynamical systems, lumped mass and continuous systems vibrations, original numerical methods of vibration analysis, nonsmooth systems, dynamics in life sciences and bioengineering, as well as engineering systems and differential equations.
DSTA conferences aim to provide a common platform for exchanging new ideas and results of recent research in scientific and technological advances in modern dynamical systems. Works contained in this volume can appeal to researchers in the field, whether in mathematics or applied sciences, and practitioners in myriad industries.
Control of Bubbling Phenomenon in Bipolar SPWM Inverters (Abella,
Bastidas, Angulo).- Drive-by-wire of a converted into electric car Syrena 105
enabling Hardware-In-Loop tests of driving (Adamski, Olejnik).- Analysis of
the influence of tyre cross-sectional parameters on the stability of a
nonlinear bicycle model with elliptic toroidal wheels ( Blanco, A. G.-A.,
Vallejo, D. G., Freire, E.).- Finite dimensional modeling of an elastic rib
(Alpatov, I., Dosaev, M., Samsonov, V., Vorobyeva, E., Dubrov, V.).
-Transient solutions for a pendulum coupled to a DC motor (Avan?o, R. H.,
Zanella, D. A., Cantillo, R. de J. A., Cunha, A. Jr., Balthazar, J. M.,
Tusset, A. M.).- Remarks on the dynamics of a DC motor moving a cart
horizontally (Avan?o, R. H., Zanella, D. A., Cantillo, R. de J. A., Cunha, A.
Jr., Balthazar, J. M., Tusset, A. M.).- Nonlinear Dynamics, Stability and
Control Strategies: Mathematical Modeling on the Big Data Analyses of
Covid-19 in Poland (Batyuk, L., Kizilova,N.).- Energy Pulse: Competitive and
Accessible Application for Monitoring Electricity Consumption (Berciu, A. G.,
Dulf, E. H., Jurj, D. I., Czumbil, L., Micu, D. D.).- Global Sliding Mode
Control for a Fully Actuated Non-Planar Hexarotor Aerial Vehicle (Bezerra, J.
A., Trentin, J. F. S., Santos, D. A. dos.).- Measurement of dynamic
parameters of composite column (Borowiec, A., Szynal, D., Szyszka, . ).-
Stability analysis of mobile crane during load sway induced by wind (Cekus,
D., Kwiato, P. ).- Design of an Optimum Tuned Mass Damper for Cantilever
Beam Response Reduction (Cetin, H., Ozturk, B., Dutkiewicz, M., Aydin, E.).-
Assessing the effect of different configurations of inerter-based devices for
structural vibration control (Chillemi, M., Furtmuller, T., Adam, C.,
Pirrotta, A.).- A Study of an Electro-Hydraulic Servo Actuator Control System
to Compensate for Badly Damped Vibrations (Dindorf, R., Wo, P.).- Slide of a
flat body on elastic supports under the action of a small lateral force
(Dosaev, M., Samsonov, V.).- Seismic response of adjacent steel frames linked
by friction dampers (Ebadi-Jamkhaneh, M., Ahmadi, M., Kontoni, D.-P. N.).-
Optimization of the two mass oscillator regarding the accumulation of energy
at mechanical resonance (Fiebig, W., Dmochowski, A.).- Dynamical analysis and
control of parametric surface waves in a nonlinear and non-ideally excited
tank (Gon?alves, M. A., Balthazar, J. M., Jarzbowska, E., Tusset, ?. M.,
Ribeiro, M. A., Daum, H. H.).- Influence of a cracked rod in the dynamic of
a planar slider-crank mechanism (Guenka, T., Machado, M.).- On the Local
Stability of Braking Dynamics of a Slip-Controlled Two-Axle Vehicle with
Multiple Time-Delays (Horv?th, ?., Beda, P.).- Energy recovery hybrid system
with the flywheel (Jackiewicz, J.).- Motion tracking of a rigid-flexible link
manipulator in a controller failure condition (Jarzbowska, E., Augustynek,
K., Urba, A.).- Nonlinear Dynamics of a 2DOF Magneto-Mechanical Harvester
(Kecik, K., Mitura, A.).- Dynamics of a low-inertia ball located between two
rotating planes with viscous friction (Koshelev, A., Kugushev, E., Shahova,
T.).- Determination of the loading of an open car with filler in the center
sill (Lovska, A., Fomin, O., Szymaski, G. M., Skurikhin, D.). -Determination
of global damping and stiffness coefficients of journal foil bearing ( Tkacz,
E., agodziski, J., Kozanecki, Z.). -Tuned Liquid Column Damper Inerter
(TLCDI) for vibration control of fixed-base structures (Chiara, M., Alberto,
D. M., Christoph, A., Antonina, P.).- A vibro-impact oscillator-based energy
harvester (Maheshwari, S., Muralidharan, A., Ali, S. F., Litak, G.). -Simple
suppression method of Impact oscillations between a pantograph and an
overhead rigid conductor line (Nishiyama, N., Yamashita, K.).- Anti-Vibration
knob for the Motorcycle, Customizable on the Basis of the Driver's Ergonomics
(Pirrotta, A., Evola, A., Di Matteo, A., Galvano, A., Russo, A.).- Design of
a vibration absorber system for tremor reduction in Parkinson patients using
a Cluster Based Algorithm (P, P. V., Balaram, B., Mani, A. K., S, S. A., M.
D, N.).- Numerical Analysis of Nonlinear Dynamics of an Offshore Platform for
energy harvesting (Ribeiro, M. A., Tusset, A. M., Lenz, W. B., Balthazar, J.
M., Litak, G.).- Dynamic modeling of a rolling tensegrity structure with
spatially curved members (Schorr, P., Ebnet, M., Zimmermann, K., Bohm, V.).-
Fractional Order Controllers for Twin Rotor Aerodynamical System (Sangeorzan,
M., Dulf, E. H.).- Heart rate effects on intracranial aneurysm hemodynamic
(Sekhane, D., Mansour, K.).- Parametric vibrations of a system of oscillators
connected with periodically variable stiffness (Seth, S., Kudra, G.,
Witkowski, K., Polczyski, K., Awrejcewicz, J.).- Transversal Straining of
Pressurized Pipeline Caused by Vibration of Damaged Foundation (Shatskyi, I.,
Makoviichuk, M., Vaskovskyi, M.).- Development of a mathematical modelfor the
functioning of a river port discharge point (Strelbitskyi, V., Rajba, S.,
Punchenko, N., Kazakova, N., Szklarczyk, R., Ziubina, R.).- Identification of
the model parameters based on the ambiguous branches of resonance response
curves (Sypniewska-Kamiska, G., Awrejcewicz, J.).- Energy harvesting from a
portal frame with a shape memory alloy (Tusset, A. M., Pires, D., Lenzi, G.
G., Iliuk, I., Rocha, R. T., Balthazar, J. M.).- Nonlinear dynamic vibration
absorber applied in a high-speed elevator system (Tusset, A. M., Gon?alves,
M., Manuel, C. J. T., Balthazar, J. M., Lenzi, G. G.).- The influence of the
load modeling methods on dynamics of a mobile crane (Urba, A., Augustynek,
K., Martsenyuk, V.).- A Nonlinear Analysis of an Aeroelastic Three Degrees of
Freedom Model (Westin, M. F., da Silva, R. G. A., Balthazar, J. M.).-
Hydraulic levelling control system technology of bricklaying robot (Wo, P.,
Dindorf, R.).- Correlation of Biomechanic Performace Measures with
Acceleration and Deceleration in Human Overground Running (Zajcsuk, L.,
Zelei, A.).- Interactions between particles of a nonlinear mass-in-mass
meta-cell (Zanin, C. d. S., Savadkoohi, A. T., Baguet, S., Dufour, R.).-
Dynamics of an Economic Growth Model with New Stylized Facts (Zsiros, ?. J.,
Ligeti, Z.).- Non-smooth models of wheel-road interactions based on
piecewise-linear projections (ardecki, D.)
Format: Hardback, 470 pages, height x width: 235x155 mm, 275 Illustrations,
color; 103 Illustrations, black and white; Approx. 480 p. 80 illus.,
Series: Springer Proceedings in Mathematics & Statistics 454
Pub. Date: 16-Jun-2024
ISBN-13: 9783031564956
This proceedings volume gathers selected, peer-reviewed papers presented at the Dynamical Systems Theory and Applications International Conference - DSTA 2021, held virtually on December 6-9, 2021, organized by the Department of Automation, Biomechanics, and Mechatronics at Lodz University of Technology, Poland. This volume focuses on numerical and analytical approaches, while Volume I concentrates on studies on applications.
Being a truly international conference, this 16th iteration of DSTA received submissions from authors representing 52 countries. The program covered both theoretical and experimental approaches to widely understood dynamical systems, including topics devoted to bifurcations and chaos, control in dynamical systems, asymptotic methods in nonlinear dynamics, stability of dynamical systems, lumped mass and continuous systems vibrations, original numerical methods of vibration analysis, non-smooth systems, dynamics in life sciences and bioengineering, as well as engineering systems and differential equations.
DSTA conferences aim to provide a common platform for exchanging new ideas and results of recent research in scientific and technological advances in modern dynamical systems. Works contained in this volume can appeal to researchers in the field, whether in mathematics or applied sciences, and practitioners in myriad industries.
Modeling and analyzing a spring pendulum motion in the presence of
energy harvesting devices (Abohamer, M., Awrejcewicz, J., Starosta, R., Amer,
T., Bek, M. A.).- Asymptotic Solutions of the Boundary Value Problem of
Convective Diffusion around Drops with Volumetric Nonlinear Chemical Reaction
(Akhmetov, R.).- Mathematical model of double row self-aligning ball bearing
(Ambrokiewicz, B., Litak, G., Georgiadis, A., Syta, A., Meier, N., Gassner,
A.).- Dynamics of railway wheelsets with a nonsmooth contact force model
(Antali, M.).- Studies of the interaction dynamics in albumin - chondroitin
sulfate systems by recurrence method (Bedowski, P., Weber, P., Gadomski, A.,
Sionkowski, P., Kruszewska, N., Domino, K.).- Dynamic Integrity of
Hyperelastic Spherical Membranes (Benedetti, K., Silva, F., Soares, R.,
Gon?alves, P.).- Nonstationary stochastic analysis of fractional viscoelastic
Euler-Bernoulli beams (Burlon, A., Di Paola, M., Sucato, V.).- Zermelo
Navigation Problem with State Constraints (Smirnova, N., Malykh, E.,
Cherkasov, O.).- About the attacker-defender-target optimal problem
(Cherkasov, O. Y., Malykh, E. V., Makieva, E. I.) .- The Symbolic Description
of Feedbacks in Nonlinear Control Problems with a Parameter Using
Approximation Theory Methods (Danik, Y., Dmitriev, M.).- The Symbolic
Description of Feedbacks in Nonlinear Control Problems with a Parameter Using
Approximation Theory Methods (Danik, Y., Dmitriev, M.).- Deficient RC slabs
strengthened with combined FRP layer and high-performance fiber-reinforced
cementitious composite (Ebadi-Jamkhaneh, M., Ahmadi, M., Kontoni, D.-P. N.).-
On alphabetical shaped soliton for intrinsic fractional coupled nonlinear
electrical transmission lattice using sine-cosine method (Fendzi-Donfack, E.,
Nkouessi, N. T., Tala-Tebue, E., Kenfack-Jiotsa, A.).- The effect of damping
on the energy transfer in the spherical pendulum with fractional damping in a
pivot point (Freundlich, J., Sado, D.).- Lyapunov Functionsby interpolating
numerical quadratures: Proof of Convergence (Giesl, P., Hafstein, S.).-
Proposal of a control hardware architecture for implementation of
fractional-order controllers (Gude, J. J., Bringas, P. G.).- Influence of
periodic nutrient advection on a simple ecosystem (Jaillet, A., Riviere, P.,
Carton, X.).- The effect of initial stress on nonlinear lateral vibrations of
rotating rods (Khajiyeva, L., Kudaibergenov, A., Kudaibergenov, A.,
Umbetkulova, A.).- Optimisation potentials of laminated composites using
semi-analytical vibro-acoustic models (Klaerner, M., Binsilm, S., Marburg,
S., Kroll, L. Optimisation).- Validation of numerical models describing the
stress-strain characteristics in the strength tests of composite materials on
a metal matrix using the elasto-optic method (Kurzawa, A., Pyka, D., Bocian,
M., Jankowski, L., Bajkowski, M., Jamroziak, K.).- Forced vibrations in a
dynamic system equipped with a mechanism that trans-pass through its singular
position (Lipinski, K.).- Spectral analysis of chimney vibrations (Machado,
M., Dutkiewicz, M.).- Non-smooth dynamics in ramp-controlled and
sine-controlled Buck converters (Bastidas, J. D. M., Cata?o, J. G. M., Tost,
G. O.).- Discovery and Online Interactive Representation of the Dimensionless
Parameter-Space of the Spring-Loaded Inverted Pendulum Model of Legged
Locomotion Using Surface Interpolation (Nagy, ?. M., Patko, D., Zelei, A.).
- Chaos and Fractal-based information hiding techniques as applied to
Steganography (Ntaoulas, N., Drakopoulos, V.).- Analysis of practical
application aspects for an active control strategy to Civil Engineering
structures (Paulet-Crainiceanu, F., Florea, V., Luca, S. G., Pastia, C.,
Rosca, O. V.).- Nonlinear Dynamic Model of the Oculo-Motor System Human based
on the Volterra Series (Pavlenko, V., Shamanina, T., Chori, V.).- Dynamics of
energy harvesting mechanical system in the vicinity of 1:1 resonance
(Puzyrov, V., Awrejcewicz, J., Losyeva, N.).- Estimation the domain of
attraction for a system of two coupled oscillators with weak damping
(Puzyrov, V., Awrejcewicz, J., Losyeva, N., Savchenko, N., Nikolaieva, O.).-
Super-twisting sliding mode control for a formation of fully-actuated
multirotor aerial vehicles (Ricardo Jr, J. A., Santos, D. A.).- Parameter
identification for a two-axis gimbal system and its kinematic calibration
(Rowienicz, ., Malczyk, P.).- A multi-agent computer program for automatic
investigation the behaviour of a nonlinear dynamic system in real-time
(Ruchkin, C., Ruchkin, A.).- Asymptotic approach to motion of physical
pendulum with an extended model of damping (Salamon, R., Sypniewska-Kamiska,
G., Kamiski, H.).- Vibration characterization of a tubular chemical reactor
(Santos, J., Machado, M., Vernieres-Hassimi, L., Khalij, L.).- Dynamics of a
multiple-link aerodynamic pendulum (Selyutskiy, Y., Holub, A., Lin, C. H.).-
A method to improve the accuracy of bridge cranes overload protection using
the signal graph. (Semenyuk, V., Lingur, V., Martsenyuk, V., Kazakova, N.,
Punchenko, N., Faat, P., Warwas, K.).- Shock Torsion Wave in an Elastic Rod
with Decreasing Function of Viscoplastic External Friction (Shatskyi, I.,
Perepichka, V.).- Effect of porosity on free vibration of FG shallow shells
with complex planform (Shmatko, T.).- Brachistochrone problem with state
constraints of a certain type (Smirnova, N., Cherkasov, O.).- Evaluation of
forces in dynamically loaded journal bearings using feedforward neural
networks (Smol?k, L., Rendl, J., Bul?n, R.).- Time-variable normal contact
force influence on dry-friction damping of self-excited vibration of bladed
turbine wheel (Snabl, P., Pesek, L., Prasad, C. P.).- Coupled system of
stochastic neural networks with impulses, Markovian switching, and node and
connection delays (Tojtovska, B., Ribarski, P.).- Bifurcations in inertial
focusing of particles in curved ducts (Valani, R., Harding, B., Stokes, Y.).-
Strategies for amplitude control in a ring of self-excited oscillators (Vinod
V., Balaram B.).- Statistical method for analysis of interactions between
chosen protein and chondroitin sulfate in an aqueous environment (Weber, P.,
Bedowski, P., Gadomski, A., Domino, K., Sionkowski, P., Ledziski, D.).-
Development of a cardiovascular mathematical model considering the thermal
environment. (Xia, Z., Ishikawa, Y., Kaneko, S., Kusaka, J.).- On the
attitude stabilization of artificial Earth satellite in the natural
electromagnetic coordinate system (Aleksandrov, A. Y., Tikhonov, A. A.).-
Influence of fractional order parameter on the dynamics of different
vibrating systems (Zafar, A. A., Awrejcewicz, J.).- Method of inversion of
Laplace transform in some problems of dynamic elasticity (Zhuravlova, Z.)
Format: Paperback / softback, 330 pages, height x width: 235x155 mm,
180 Illustrations, color; 74 Illustrations, black and white; X, 330 p. 253 illus., 178 illus. in color.,
Series: Lecture Notes in Mathematics 2344
Pub. Date: 26-Jun-2024
ISBN-13: 9783031579844
This book provides a remarkable collection of contributions written by some of the most accredited world experts in the modern area of Knotted Fields. Scope of the book is to provide an updated view of some of the key aspects of contemporary research, with the purpose to cover basic concepts and techniques commonly used in the context of Knotted Fields. The material is presented to help the interested reader to become familiar with the fundamentals, from fluid flows to electromagnetism, from knot theory to numerical visualization, while presenting the new ideas and results in an accessible way to beginners and young researchers. No advanced knowledge is required, and at the end of each chapter, key references are provided to offer further information on particular topics of interest. All those keen on modern applications of topological techniques to the study of knotted fields in mathematical physics will find here a valuable and unique source of information. The work will be of interest to many researchers in the field.
Table of Contents
A Topological Approach to Vortex Knots and Links.- From Knot
Invariants to Knot Dynamics.- Multi-Valued Potentials in Topological Field
Theory.- Excitable and Magnetic Knots.- Spiral Waves in Excitable Media:
Seifert Framing and Helicity.- Designing Knotted Fields in Light and
Electromagnetism.- Tangled Vortex Lines: Dynamics, Geometry and Topology of
Quantum Turbulence.- An Introduction to Knotplot.- Using the Homflypt
Polynomial to Compute Knot Types.