Author: Alexander M. Formalskii
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110392828
Category : Science
Languages : en
Pages : 281
Get Book Here
Book Description
Systems with mechanical degrees of freedom containing unstable objects are analysed in this monograph and algorithms for their control are developed, discussed, and numerically tested. This is achieved by identifying unstable modes of motion and using all available resources to suppress them. By using this approach the region of states from which a stable regime can be reached is maximised. The systems discussed in this book are models for pendula and vehicles and find applications in mechatronics, robotics as well as in mechanical and automotive engineering.
Author: Nikolay V. Banichuk
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110531186
Category : Mathematics
Languages : en
Pages : 206
Get Book Here
Book Description
This monograph studies optimization problems for rigid punches in elastic media and for high-speed penetration of rigid strikers into deformed elastoplastic, concrete, and composite media using variational calculations, tools from functional analysis, and stochastic and min-max (guaranteed) optimization approaches with incomplete data. The book presents analytical and numerical results developed by the authors during the last ten years.
Author: Christos H. Skiadas
Publisher: Springer Nature
ISBN: 3030707954
Category : Mathematics
Languages : en
Pages : 1080
Get Book Here
Book Description
Gathering the proceedings of the 13th CHAOS2020 International Conference, this book highlights recent developments in nonlinear, dynamical and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and the Engineering Sciences. The respective chapters address key methods, empirical data and computer techniques, as well as major theoretical advances in the applied nonlinear field. Beyond showcasing the state of the art, the book will help academic and industrial researchers alike apply chaotic theory in their studies.
Author: Vladimir K. Dobrev
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311042780X
Category : Mathematics
Languages : en
Pages : 511
Get Book Here
Book Description
With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography. This first volume covers the general aspects of Lie algebras and group theory supplemented by many concrete examples for a great variety of noncompact semisimple Lie algebras and groups. Contents: Introduction Lie Algebras and Groups Real Semisimple Lie Algebras Invariant Differential Operators Case of the Anti-de Sitter Group Conformal Case in 4D Kazhdan–Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant Equations Invariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie Algebras Multilinear Invariant Differential Operators from New Generalized Verma Modules Bibliography Author Index Subject Index
Author: Igor Olegovich Cherednikov
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110430606
Category : Science
Languages : en
Pages : 226
Get Book Here
Book Description
The purpose of this book is to give a systematic pedagogical exposition of the quantitative analysis of Wilson lines and gauge-invariant correlation functions in quantum chromodynamics. Using techniques from the previous volume (Wilson Lines in Quantum Field Theory, 2014), an ab initio methodology is developed and practical tools for its implementation are presented. Emphasis is put on the implications of gauge invariance and path-dependence properties of transverse-momentum dependent parton density functions. The latter are associated with the QCD factorization approach to semi-inclusive hadronic processes, studied at currently operating and planned experimental facilities. Contents: Introduction Particle Number Operators in Quantum Mechanics and in Quantum Field Theory Geometry of Quantum Field Theories Basics of Wilson Lines in QCD Gauge-Invariant Parton Densities Simplifying Wilson Line Calculations Brief Literature Guide Conventions and Reference Formulae Integrations Bibliography Index
Author: Alexander B. Borisov
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110430673
Category : Science
Languages : en
Pages : 353
Get Book Here
Book Description
The book provides a concise and rigor introduction to the fundamentals of methods for solving the principal problems of modern non-linear dynamics. This monograph covers the basic issues of the theory of integrable systems and the theory of dynamical chaos both in nonintegrable conservative and in dissipative systems. A distinguishing feature of the material exposition is to add some comments, historical information, brief biographies and portraits of the researchers who made the most significant contribution to science. This allows one to present the material as accessible and attractive to students to acquire indepth scientific knowledge of nonlinear mechanics, feel the atmosphere where those or other important discoveries were made. The book can be used as a textbook for advanced undergraduate and graduate students majoring in high-tech industries and high technology (the science based on high technology) to help them to develop lateral thinking in early stages of training. Contents: Nonlinear Oscillations Integrable Systems Stability of Motion and Structural Stability Chaos in Conservative Systems Chaos and Fractal Attractors in Dissipative Systems Conclusion References Index
Author: Abram I. Fet
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110475200
Category : Science
Languages : en
Pages : 225
Get Book Here
Book Description
In this monograph, group-theoretical approaches are used to build a system of hadrons and qualitatively describe the properties of chemical compounds. This serves as a complement to numerically and approximately solve the many-electron Schrödinger equation, in order to understand the behavior of chemical elements. Besides general theory, specific results are compared with experimentally measured chemical properties.
Author: Vladimir K. Dobrev
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110427788
Category : Science
Languages : en
Pages : 450
Get Book Here
Book Description
With applications in quantum field theory, general relativity and elementary particle physics, this three-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main manifestations: quantum algebras and matrix quantum groups. The exposition covers both the general aspects of these and a great variety of concrete explicitly presented examples. The invariant q-difference operators are introduced mainly using representations of quantum algebras on their dual matrix quantum groups as carrier spaces. This is the first book that covers the title matter applied to quantum groups. Contents Quantum Groups and Quantum Algebras Highest-Weight Modules over Quantum Algebras Positive-Energy Representations of Noncompact Quantum Algebras Duality for Quantum Groups Invariant q-Difference Operators Invariant q-Difference Operators Related to GLq(n) q-Maxwell Equations Hierarchies
Author: Yue Ma
Publisher: Academic Press
ISBN: 0128188006
Category : Technology & Engineering
Languages : en
Pages : 361
Get Book Here
Book Description
Dynamics and Advanced Motion Control of Unmanned Ground Off-Road Vehicles details both theoretical concepts such as planning and perception when working with UGVs, as well as more practical, hands-on aspects such as torque vectoring control. The book also covers related technologies such as intelligent and electrification of ground vehicles. After an introduction, initial chapters include an exploration of wheel-soil and track-soil interaction mechanisms, motion stability, motion control, fault detection and identification, and fault tolerance control. This book offers readers a detailed understanding of Unmanned Ground Vehicles by combining theory, applications and further developments. Topics are covered in such a way that readers will be well versed on the current field of UGVs and will be able to implement future design and research in a feasible and effective way. - Gives a comprehensive analysis and introduction to the dynamics and advanced motion control of unmanned ground off-road vehicles - Covers key related technology concepts, such as intelligent and electrification of ground vehicles - Details the entire control framework of off-road UGVs and the implementation of controller design
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309174759
Category : Mathematics
Languages : en
Pages : 80
Get Book Here
Book Description
Some of the modem developments described in Motion, Control, and Geometry include the geometric control of robot motion and craft orientation, how high-power precision micromotors are engineered for less invasive surgery and self-focusing lens applications, what a mobile robot on a surface has in common with one moving in three dimensions, and how the motion-control problem is simplified by a coupled oscillator's geometric grouping of degrees of freedom and motion time scales. The four papers in these proceedings provide a view through the scientific portal of today's motion-control geometric research into tomorrow's technology. The mathematics needed to carry out this research is that of modem differential geometry, and the questions raised in the field of motion-control geometry go directly to the research frontier. Geometry is a mathematical area too often neglected nowadays in a student's education. This publication will help adjust the control initially imposed about 2,300 years ago on one kind of "motion"-that of students entering Plato's Academy, where the following caveat was inscribed above the doorway: "Let no one ignorant of geometry enter here." Readers of these chapters will gain an appreciation of modem geometry and how it continues to play a crucial role in the context of motion control in cutting-edge science and technology.
