Search Results - "Arioli, Gianni"

Existence and stability of traveling pulse solutions of the FitzHugh–Nagumo equation by Arioli, Gianni, Koch, Hans

“…The FitzHugh–Nagumo model is a reaction–diffusion equation describing the propagation of electrical signals in nerve axons and other biological tissues. One of…”
Get full text

A new mathematical explanation of what triggered the catastrophic torsional mode of the Tacoma Narrows Bridge by Arioli, Gianni, Gazzola, Filippo

“…The spectacular collapse of the Tacoma Narrows Bridge has attracted the attention of engineers, physicists, and mathematicians in the last 74years. There have…”
Get full text

Some Reversing Orbits for a Rattleback Model by Arioli, Gianni, Koch, Hans

“…A physical rattleback is a toy that can exhibit counter-intuitive behavior when spun on a horizontal plate. Most notably, it can spontaneously reverse its…”
Get full text

A Hopf Bifurcation in the Planar Navier–Stokes Equations by Arioli, Gianni, Koch, Hans

“…We consider the Navier–Stokes equation for an incompressible viscous fluid on a square, satisfying Navier boundary conditions and being subjected to a…”
Get full text

Uniqueness and Bifurcation Branches for Planar Steady Navier–Stokes Equations Under Navier Boundary Conditions by Arioli, Gianni, Gazzola, Filippo, Koch, Hans

“…The stationary Navier–Stokes equations under Navier boundary conditions are considered in a square. The uniqueness of solutions is studied in dependence of the…”
Get full text

Changing behaviour under unfairness: An evolutionary model of the Ultimatum Game by Arioli, Gianni, Lucchetti, Roberto, Valente, Giovanni

Get full text

Some Breathers and Multi-breathers for FPU-Type Chains by Arioli, Gianni, Koch, Hans

“…We consider several breather solutions for FPU-type chains that have been found numerically. Using computer-assisted techniques, we prove that there exist true…”
Get full text

Non-symmetric low-index solutions for a symmetric boundary value problem by Arioli, Gianni, Koch, Hans

“…We consider the equation − Δ u = w u 3 on a square domain in R 2 , with Dirichlet boundary conditions, where w is a given positive function that is invariant…”
Get full text

Optimization of the Forcing Term for the Solution of Two-Point Boundary Value Problems by Arioli, Gianni

“…We present a new numerical method for the computation of the forcing term of minimal norm such that a two-point boundary value problem admits a solution. The…”
Get full text

Computer assisted proof of branches of stationary and periodic solutions, and Hopf bifurcations, for dissipative PDEs by Arioli, Gianni

“…We discuss an approach to the computer assisted proof of the existence of branches of stationary and periodic solutions for dissipative PDEs, using the…”
Get full text

Torsional instability in suspension bridges: The Tacoma Narrows Bridge case by Arioli, Gianni, Gazzola, Filippo

“…•Thresholds of torsional instability of suspension bridges.•Periodic solutions for a nonlinear model of a suspension bridge.•Application of Floquet theory to…”
Get full text

Validated numerical solutions for a semilinear elliptic equation on some topological annuli in the plane by Arioli, Gianni, Koch, Hans

“…We consider the equation −Δw=w3 with zero boundary conditions on planar domains that are conformal images of annuli. Starting with an approximate solution, we…”
Get full text

Multibump solutions and critical groups by Arioli, Gianni, Szulkin, Andrzej, Zou, Wenming

“…We consider the Newtonian system -\ddot q+B(t)q = W_q(q,t) with B, W periodic in t, B positive definite, and show that for each isolated homoclinic solution…”
Get full text

Two novel methods and multi-mode periodic solutions for the fermi-pasta-ulam model by ARIOLI, Gianni, KOCH, Hans, TERRACINI, Susanna

Get full text

Non-radial solutions for some semilinear elliptic equations on the disk by Arioli, Gianni, Koch, Hans

“…Starting with approximate solutions of the equation −Δu=wu3 on the disk, with zero boundary conditions, we prove that there exist true solutions nearby. One of…”
Get full text

A path integral based model for stocks and order dynamics by Paolinelli, Giovanni, Arioli, Gianni

“…We present a model for the short-term dynamics of financial assets based on an application to finance of quantum gauge theory, developing ideas of Ilinski. We…”
Get full text

A model for stocks dynamics based on a non-Gaussian path integral by Paolinelli, Giovanni, Arioli, Gianni

“…We introduce a model for the dynamics of stock prices based on a non quadratic path integral. The model is a generalization of Ilinski’s path integral model,…”
Get full text

WITHDRAWN: An algorithm for the study of parameter dependence applied to hyperbolic systems by Arioli, Gianni

Get full text

Mathematics Education with Conjectures and Refutations by Gianni Arioli

“…In this paper we discuss how Popper's epistemology and Lakatos' view on the development of mathematics may provide some interesting ideas to mathematics…”
Get full text

Computer-Assisted Methods for the Study of Stationary Solutions in Dissipative Systems, Applied to the Kuramoto–Sivashinski Equation by Arioli, Gianni, Koch, Hans

“…We develop some computer-assisted techniques for the analysis of stationary solutions of dissipative partial differential equations, of their stability, and of…”
Get full text