Title: On Nonlinear Schrödinger Type Equations: Wave Modulation and Mathematical Analysis Abstract: The nonlinear Schrödinger (NLS) equation describes the evolution of slowly varying packets of quasi-monochromatic waves in weakly nonlinear dispersive media. The NLS equation with soliton solutions is one of the significant and widely pursued research areas on the nonlinear wave motions. Sub-studies on […]
Title: The fractional p-Laplacian operator. Motivation for its definition and related boundary value problems Abstract: Last decades, nonlocal operators, as the fractional Laplacian, have gained to much attention due to […]
Title: Controlling the unmanageable: insight into control methods for biological systems Abstract: When formulating a model for a biological system, often we want to use the model to understand the […]
Title: How well do neurons, humans, and artificial neural networks predict? Abstract: Sensory prediction is thought to be vital to organisms, but few studies have tested how well organisms and parts of organisms efficiently predict their sensory input in an information-theoretic sense. In this talk, we report results on how well cultured neurons ("brain in […]
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Title: Mathematical models studying the effectiveness of control strategies for malaria Abstract: According to the 2023 World Malaria Report: Nearly half the world's population lives in areas at risk of […]
Title: Designing Robust Networks of Coupled Phase Oscillators with Applications to the High-Voltage Electric Grid Abstract: A network is any collection of objects, called nodes, in which some pairs of […]
Title: Renormalization and wild attractors for Fibonacci maps Abstract: A Fibonacci map is a piecewise defined map of a subset of an interval I onto I with a unique critical […]
Title: Smooth non-decaying solutions to the 2D dissipative quasi-geostrophic equations Abstract: In this talk we explore the two-dimensional dissipative surface quasi-geostrophic (SQG) equation with fractional diffusion of order 2α for […]
Title: Bi-Lipschitz Invariants Abstract: Consider a finite-dimensional real vector space and a finite group acting unitarily on it. We investigate the general problem of constructing Euclidean stable embeddings of the quotient space of orbits. Our embedding relies on subsets of sorted coorbits with respect to chosen window vectors. Our main injectivity results examine the conditions […]
