Extended Abstracts Spring 2018

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