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Author: Hamid Reza Noori Publisher: Springer Science & Business Media ISBN: 3642382185 Category : Mathematics Languages : en Pages : 51
Book Description
The occurrence of hysteresis phenomena has been traditionally associated with mechanical and magnetic properties of materials. However, recent studies on the dynamics of biological processes suggest switch-like behavior that could be described by mathematical models of hysteresis. This book presents the milestones and perspectives of biological hysteresis and provides a comprehensive and application-oriented introduction to this subject. The target audience primarily comprises researchers but the book may also be beneficial for graduate students.
Author: Hamid Reza Noori Publisher: Springer Science & Business Media ISBN: 3642382185 Category : Mathematics Languages : en Pages : 51
Book Description
The occurrence of hysteresis phenomena has been traditionally associated with mechanical and magnetic properties of materials. However, recent studies on the dynamics of biological processes suggest switch-like behavior that could be described by mathematical models of hysteresis. This book presents the milestones and perspectives of biological hysteresis and provides a comprehensive and application-oriented introduction to this subject. The target audience primarily comprises researchers but the book may also be beneficial for graduate students.
Author: Mark A. Krasnosel'skii Publisher: Springer Science & Business Media ISBN: 3642613020 Category : Mathematics Languages : en Pages : 429
Book Description
Hysteresis phenomena are common in numerous physical, mechanical, ecological and biological systems. They reflect memory effects and process irreversibility. The use of hysteresis operators (hysterons) offers an approach to macroscopic modelling of the dynamics of phase transitions and rheological systems. The applications cover processes in electromagnetism, elastoplasticity and population dynamics in particular. Hysterons are also typical elements of control systems where they represent thermostats and other discontinuous controllers with memory. The book offers the first systematic mathematical treatment of hysteresis nonlinearities. Construction procedures are set up for hysterons in various function spaces, in continuous and discontinuous cases. A general theory of variable hysterons is developed, including identification and stability questions. Both deterministic and non-deterministic hysterons are considered, with applications to the study of feedback systems. Many of the results presented - mostly obtained by the authors and their scientific group - have not been published before. The book is essentially self contained and is addressed both to researchers and advanced students.
Author: Andrei Korobeinikov Publisher: Springer ISBN: 3030011534 Category : Mathematics Languages : en Pages : 106
Book Description
This volume contains extended abstracts outlining selected presentations given by participants of the joint international multidisciplinary workshop MURPHYS-HSFS-2016 (MUltiRate Processes and HYSteresis; Hysteresis and Slow-Fast Systems), which was dedicated to the mathematical theory and applications of multiple scale systems and systems with hysteresis, and held at the Centre de Recerca Matemàtica (CRM) in Barcelona from June 13th to 17th, 2016. The collection includes brief research articles on new results, preliminary work, open problems, and the outcomes of group work initiated during the workshop. The book addresses multiple scale phenomena, singular perturbations, phase transitions, and hysteresis phenomena occurring in mathematical, physical, economic, engineering and information systems. Its scope includes both new results in the theory of hysteresis, singularly perturbed systems and dynamical systems in general; and applications to the physical, chemical, biological, microbiological, economic, and engineering sciences, such as: elasto-plasticity and mechanical structures, damage processes, magnetic materials, photonics and optoelectronics, energy storage systems, hydrology, biology, semiconductor lasers, and shock phenomena in economic modeling. Given its breadth of coverage, the book offers a valuable resource for established researchers, as well as for PhD and postdoctoral students who want to learn more about the latest advances in these highly active research areas.
Author: Andrei Korobeinikov Publisher: Springer Nature ISBN: 3030252612 Category : Mathematics Languages : en Pages : 282
Book Description
This volume contains extended abstracts outlining selected presentations delivered by participants of the joint international multidisciplinary workshop MURPHYS-HSFS-2018 (MUltiRate Processes and HYSteresis; Hysteresis and Slow-Fast Systems), dedicated to the mathematical theory and applications of the multiple scale systems, the systems with hysteresis and general trends in the dynamical systems theory. The workshop was jointly organized by the Centre de Recerca Matemàtica (CRM), Barcelona, and the Collaborative Research Center 910, Berlin, and held at the Centre de Recerca Matemàtica in Bellaterra, Barcelona, from May 28th to June 1st, 2018. This was the ninth workshop continuing a series of biennial meetings started in Ireland in 2002, and the second workshop of this series held at the CRM. Earlier editions of the workshops in this series were held in Cork, Pechs, Suceava, Lutherstadt and Berlin. The collection includes brief research articles reporting new results, descriptions of preliminary work, open problems, and the outcome of work in groups initiated during the workshop. Topics include analysis of hysteresis phenomena, multiple scale systems, self-organizing nonlinear systems, singular perturbations and critical phenomena, as well as applications of the hysteresis and the theory of singularly perturbed systems to fluid dynamics, chemical kinetics, cancer modeling, population modeling, mathematical economics, and control. The book is intended for established researchers, as well as for PhD and postdoctoral students who want to learn more about the latest advances in these highly active research areas.
Author: José Carlos Dias Publisher: Nova Science Publishers ISBN: 9781633213364 Category : Hysteresis Languages : en Pages : 0
Book Description
The study of complex hysteresis problems has become increasingly important in recent years, since the hysteresis phenomenon affects significantly the decisions that have to be rendered in a wide range of real-world practical applications. For example, the so-called hysteresis effects may influence substantially some fields not directly related to the natural sciences such as finance, economy, or fiscal policy. In addition, such phenomenon is also typically present in many engineering and physics applications of interest such as in magnetism, spin-valve technology, semiconductors, surface physics, aeronautical and civil engineering aerodynamics, complex battery systems, biology, etc. This book focuses on the most recent attempts for modeling a diverse variety of complex hysteresis problems faced in economics, engineering, and physics. The chapters of this book provide a self-contained, rigorous, and clear treatment of the different types and sources of hysteresis under a large spectrum of applications. The book also highlights how stochastic control and other mathematical tools as well as econometric techniques can be applied for analyzing the complex properties of hysteresis problems. This authoritative book is a definitive guide on how to understand the newest designs for modeling hysteresis in highly complex systems and thus it will be an essential reading for graduate students and researchers in economics, engineering, and physics.
Author: Augusto Visintin Publisher: CRC Press ISBN: 9780582209008 Category : Mathematics Languages : en Pages : 440
Book Description
Hysteresis effects appear in several physical phenomena, such as ferromagnetism, ferroelectricity and plasticity. They also appear in many fields of engineering. This state-of-the-art volume provides a unique insight into this relatively new, but rapidly developing, topic of applied mathematics.
Author: Publisher: ISBN: 9780124808744 Category : Hysteresis Languages : en Pages :
Book Description
Volume 1 covers: P* Mathematical models P* Differential equations P* Stochastic aspects of hysteresis P* Binary detection using hysteresis P* Models of unemployment in economics P PVolume 2 covers: P* Physical models of magnetic hysteresis P* All aspects of magnetisation dynamics P PVolume 3 covers: P* Hysteresis phenomena in materials * Over 2100 pages, rich with supporting illustrations, figures and equations P * Contains contributions from an international list of authors, from a wide-range of disciplinesP * Covers all aspects of hysteresis - from differential equations, and binary detection, to models of unemployment and magnetisation dynamics.
Author: Hamid Reza Noori
Author: Hamid Reza Noori
Author: Mark A. Krasnosel'skii
Author: Andrei Korobeinikov
Author: Andrei Korobeinikov
Author: Rufus A. Andrews
Author: Mihai Dimian
Author: Gary Alan Didicus Davis
Author: José Carlos Dias
Author: Augusto Visintin
Author: