A5065837856- Nonlinear Dynamics and Pattern Formation
- stochastic dynamics and bifurcation
- Differential Equations and Numerical Methods
- Diabetes Management and Education
- Family Caregiving in Mental Illness
- Advanced Thermodynamics and Statistical Mechanics
- Advanced Differential Equations and Dynamical Systems
- Schizophrenia research and treatment
- Quantum chaos and dynamical systems
University of Edinburgh
2021
University of Thessaly
2020
Abstract We study a singularly perturbed fast-slow system of two partial differential equations (PDEs) reaction-diffusion type on bounded domain via Galerkin discretisation. assume that the reaction kinetics in fast variable realise generic fold singularity, whereas slow takes role dynamic bifurcation parameter, thus extending classical analysis fold. Our approach combines spectral discretisation with techniques from geometric singular perturbation theory which are applied to resulting...
The present study is one of the first attempts to examine connection physical activity with mental health people that care for family members illness.Caregiving a load negative effects on well-being but caring member illness results higher psychological burden, due other factors involved (i.e.stigma).Physical and exercise have been found be variables lead better quality life caregivers in many chronic illnesses.The participants were 300 patients -family (96 men, 204 women) mean age 60.64...
We study a singularly perturbed fast-slow system of two partial differential equations (PDEs) reaction-diffusion type on bounded domain. assume that the reaction terms in fast variable contain fold singularity, whereas slow assumes role dynamic bifurcation parameter, thus extending classical analysis to an infinite-dimensional setting. Our approach combines spectral Galerkin discretisation with techniques from Geometric Singular Perturbation Theory (GSPT) which are applied resulting...
Abstract We consider a two-body problem with quick loss of mass which was formulated by Verhulst (Verhulst in J Inst Math Appl 18: 87–98, 1976). The corresponding dynamical system is singularly perturbed due to the presence small parameter governing equations corresponds reciprocal initial rate mass, resulting boundary layer asymptotics. Here, we showcase geometric approach allows us derive asymptotic expansions for solutions that via combination singular perturbation theory (Fenichel Differ...