Nonlinear Dynamics and Complexity

Dr. Carla M.A. Pinto is a Coordinating Professor at the School of Engineering, Polytechnic of Porto, Portugal. Her main research topic is epidemiology, in particular Mathematical Epidemiology. She is interested in mathematical challenges and their role in providing advice on public health policies. Mrs Pinto is trained in Nonlinear Dynamics, Bifurcation Theory. Previous research included the analysis of Central Pattern Generators for Animal and Robot Locomotion, coupled cell networks, neuron-like equations (Hodgkin-Huxley equations, Fitz-Hugh Nagumo, Morris-Lecar).

• Analysis of the temporal evolution of Plumeria bud by measuring its complex impedance: Detection of the fractal element with complex conjugated power-law exponents.- On the stochastic extension of the classical epidemiological compartmental model.- Repellers for the Laguerre Iteration Function.- Mathematical modeling of HBV infection with DNA-containing capsids and therapy.- New fractional derivative for fuzzy functions and its applications on time scale.- A novel high-efficiency piezoelectric energy harvester designed to harvest energy from random excitation.- Random vibration of one-dimensional acoustic black hole beam.- Statistics of topological defects in one-dimensional structures based on the Kibble Zurek Mechanism.- Dynamical analysis of a Prabhakar fractional chaotic autonomous system.- Exact solutions of two PDEs which govern the 3D Inverse Problem of Dynamics.- Target Tracking Algorithm based on YOLOv3 And Feature Point Matching.- Composition of Fuzzy Numbers with Chaotic Maps.- Invariant Manifolds in the Second Order Maxwell Bloch Equations.- Geometric parametrisation of Lagrangian Descriptors for 1 degree-of-freedom systems.- Computing chaotic eigenvectors in narrow 1 energy windows.- Analytical and experimental study of a Hindmarsh-Rose neuron system.- Pricing Options Under Time-Fractional Model using Adomian Decomposition.- Dynamical Analysis of a Three-Dimensional Non-Autonomous Chaotic Circuit Based on a Physical Memristor.- Compartmental Poisson stability in non-autonomous differential equations.- A computational probabilistic calibration of the Pielou’s model to study the growth of breast tumours. A comparative study.- About the simulations of Maxwell equations. Some applications.- A Pandemic Three-Sided Coin.- Global stability analysis of two-strain SEIR epidemic model with quarantine strategy.