Spatiotemporal Pattern Formation in a Ring of Chua’s Oscillators

Alì, Giuseppe; Bilotta, Eleonora; Chiaravalloti, Francesco; Pantano, Pietro; Pezzi, Oreste; Scuro, Carmelo; Valentini, F.

doi:10.1134/s1560354721060095

Cited by 4 publications

(2 citation statements)

References 63 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An aspect which might affect the propagation of AE in a porous material, such as concrete, is the aggression of the material by some chemical pollutant [16,17]. It is also interesting to note that the propagation of elastic waves in a material could give rise to chaotic phenomena, similar to the ones described in other research domains [18,19,20,21,22].…”

Section: Introductionmentioning

confidence: 80%

Numerical model for damage identification in brittle materials monitored by Acoustic Emission acquisition systems

Alì¹,

Demarco²,

Fusaro³

et al. 2023

Proceedings of the 2022 IMEKO TC4 International Conference on Metrology for Archaeology and Cultural Heritage

View full text Add to dashboard Cite

A numerical method for damage identification in brittle materials is presented. The method is based on the time of arrival of the elastic wave, generated by the damage formation, to a group of sensors positioned on the boundary of a material sample. The equations of motion for the elastic waves are the starting point, including a body force term which accounts for the sudden formation of a crack. Then a discretization scheme for the 2D equations of elasticity is developed, which allows to obtained a suitable numerical model. Some numerical experiments are performed, to assess the validity of the method, reproducing the readings of some sensor positioned on the boundary of the sample. The location of the damage and the time of formation are identified by an appropriate nonlinear least square problem.

show abstract

Section: Introductionmentioning

confidence: 80%

Numerical model for damage identification in brittle materials monitored by Acoustic Emission acquisition systems

Alì¹,

Demarco²,

Fusaro³

et al. 2023

Proceedings of the 2022 IMEKO TC4 International Conference on Metrology for Archaeology and Cultural Heritage

View full text Add to dashboard Cite

show abstract

“…In some cases, the explicit introduction of a space variable can modify the forecasts of the non-spatial counterpart model. The spatial diffusion plays a relevant role in the process of population evolution and in many other fields of applied mathematics ( [35][36][37][38][39][40][41][42][43][44][45]); spatial patterns are of high relevance and importance as they may help to better describe the spatial and temporal distribution of the involved populations, thus providing important hints on the behavior of communities. Motivated by such considerations, we take into account the following system:…”

Section: Introductionmentioning

confidence: 99%

Turing Instability and Spatial Pattern Formation in a Model of Urban Crime

Torcicollo,

Vitiello

2024

Mathematics

View full text Add to dashboard Cite

A nonlinear crime model is generalized by introducing self- and cross-diffusion terms. The effect of diffusion on the stability of non-negative constant steady states is applied. In particular, the cross-diffusion-driven instability, called Turing instability, is analyzed by linear stability analysis, and several Turing patterns driven by the cross-diffusion are studied through numerical investigations. When the Turing–Hopf conditions are satisfied, the type of instability highlighted in the ODE model persists in the PDE system, still showing an oscillatory behavior.

show abstract

Turing pattern formation in a specialist predator–prey model with a herd‐Holling‐type II functional response

Alì,

Torcicollo

2024

Math Methods in App Sciences

View full text Add to dashboard Cite

A reaction–diffusion system governing the predator–prey interaction with specialist predator and herd behavior for prey is investigated. Linear stability of the interior equilibrium is studied, and conditions guaranteeing the occurrence of Turing instability, induced by cross‐diffusion, are found, with a full characterization of the Turing instability region in the parameter space. Numerical simulations on the obtained results are provided.

show abstract

Spatiotemporal Pattern Formation in a Ring of Chua’s Oscillators

Cited by 4 publications

References 63 publications

Numerical model for damage identification in brittle materials monitored by Acoustic Emission acquisition systems

Numerical model for damage identification in brittle materials monitored by Acoustic Emission acquisition systems

Turing Instability and Spatial Pattern Formation in a Model of Urban Crime

Turing pattern formation in a specialist predator–prey model with a herd‐Holling‐type II functional response

Contact Info

Product

Resources

About