Extended Abstracts Spring 2018 Singularly Perturbed Systems Multiscale Phenomena and Hysteresis Theory and Applications 1st Edition by Andrei Korobeinikov,Magdalena Caubergh,Tomïs Lïzaro,Josep Sardanyïs PDF Instant Download/Delivery: 3030252604, 978-3030252601
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ISBN 10: 3030252604
ISBN 13: 978-3030252601
Author: Andrei Korobeinikov,Magdalena Caubergh,Tomïs Lïzaro,Josep Sardanyïs
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 researcharticles 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.
Table of contents:
Constructive Method of Decomposition in Singularly Perturbed Problems of Non-Holonomic Mechanics
Analysis of Temporal Dissipative Solitons in a Delayed Model of a Ring Semiconductor Laser
Multi-Scale Problem for a Model of Viral Evolution with Random Mutations
A Discrete Variant Space Model of Cancer Evolution
Mathematical Modelling of HIV Within-Host Evolution
Optimal Control for Anti-Cancer Therapy
The Two-Scale Periodic Unfolding Technique
Limit Cycles for Piecewise Linear Differential Systems via Poincaré-Miranda Theorem
Resonance: the Effect of Nonlinearity, Geometry and Frequency Dispersion
On the Null-Controllability of the Heat Equation with Hysteresis in Phase Transition Modeling
Evidence of Critical Transitions and Coexistence of Alternative States in Nature: The Case of Malaria Transmission
A Mathematical Model of Cancer Evolution
Resonance of Isochronous Oscillators
Modeling of N-Methyl-D-Aspartate Receptors
Some Lessons from Two Simple Approaches to Model the Impact of Harvest Timing on Seasonal Populations
Global Stability Conditions of the Disease Free Equilibrium for a Lymphatic Filariasis Model
Repulsive Invariant Manifolds and Modelling the Critical Phenomena
A New Approach to Canards Chase in 3D
Slow Invariant Manifolds in the Problem of Order Reduction of Singularly Perturbed Systems
Breathing as a Periodic Gas Exchange in a Deformable Porous Medium
Invariant Objects on Lattice Systems with Decaying Interactions
Wave-Pinning by Global Feedback in the Bistable Schlögl Model
Cooperativity in Neurones-Astrocytes Coupled Dynamics
Resonance-Based Mechanisms of Generation of Relaxation Oscillations in Networks of Non-Oscillatory Neurons
New Advances on the Lyapunov Constants of Some Families of Planar Differential Systems
Canards Existence in the Hindmarsh-Rose Model
Effect of Delayed Harvesting on the Stability of Single-Species Populations
Gevrey Asymptotics of Slow Manifolds in Singularly Perturbed Delay Equations
4-Dimensional Canards and Their Center Manifold
Modified Model for Proportional Loading and Unloading of Hypoplastic Materials
Modeling of Excitatory Amino Acid Transporters
Limitations in Computational Analysis of Retrovirus Evolution
A Non-Local Formulation of the One-Phase Stefan Problem Based on Extended Irreversible Thermodynamics
Experimental Investigation of Viscoelastic Hysteresis in a Flex Sensor
How Does the Hopf Bifurcation Appear in the Hydrogen Atom in a Circularly Polarized (CP) Microwave Field?
Stabilization of Unstable Periodic Solutions for Inverted Pendulum under Hysteretic Control: the Magnitskii Approach
Non-Ideal Relay with Random Parameters
Critical Phenomena in a Dynamical System under Random Perturbations
Burgers-Type Equations with Nonlinear Amplification: Front Motion and Blow-up
On Uncertainty Quantification for Models Involving Hysteresis Operators
Unusual Elastic-Plastic Properties of Fullerene Films: Dynamical Hysteretic Model
Depinning of Travelling Waves in Ergodic Media
Cancer Evolution: the Appearance and Fixation of Cancer Cells
Cheap Control Problem in a Critical Case
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