Search results for: chialvo model

• An absorbing set for the Chialvo map

  Publication

  • P. Pilarczyk
  • G. Graff

  - Communications in Nonlinear Science and Numerical Simulation - Year 2024

  The classical Chialvo model, introduced in 1995, is one of the most important models that describe single neuron dynamics. In order to conduct effective numerical analysis of this model, it is necessary to obtain a rigorous estimate for the maximal bounded invariant set. We discuss this problem, and we correct and improve the results obtained by Courbage and Nekorkin (2010). In particular, we provide an explicit formula for an...

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• Parameter values for topological chaos in the reduced Chialvo model

  Open Research Data

  open access

  • F. Llovera
  • P. Bartłomiejczyk
  • J. Signerska-Rynkowska

  The following dataset is connected with a map-based neuron model introduced by D. Chialvo (Chaos, Solitons & Fractals, 5 (3-4) 1995). The reduced version of this model is a one dimensional discrete system which describes the evolution of the membrane voltage when the value of the second variable, the recovery variable, is fixed. We have recently...

• Geoscientific Model Development

  Journals

  ISSN: 1991-959X , eISSN: 1991-9603

• GRAPHICAL MODELS

  Journals

  ISSN: 1524-0703 , eISSN: 1524-0711

• STOCHASTIC MODELS

  Journals

  ISSN: 1532-6349 , eISSN: 1532-4214

• Finite Element model updating on experimental modal parameters

  Publication

  • M. Hirsz

  - Year 2008

• Model Assisted Statistics and Applications

  Journals

  ISSN: 1574-1699

• Spurious Modes in Model Order Reduction in Variational Problems in Electromagnetics

  Publication

  • V. D. L. Rubia
  • D. Young
  • G. Fotyga
  • M. Mrozowski

  - IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES - Year 2022

  In this work, we address an everlasting issue in 2 model order reduction (MOR) in electromagnetics that has 3 remained unnoticed until now. Contrary to what has been 4 previously done, we identify for the very first time spurious 5 modes in MOR for time-harmonic Maxwell’s equations and 6 propose a methodology to remove their negative influence on the 7 reduced order model (ROM) response. These spurious modes 8 have nonzero resonance...

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• Uniform Model Interface for Assurance Case Integration with System Models

  Publication

  • A. Wardziński
  • P. Jones

  - Year 2017

  Assurance cases are developed and maintained in parallel with corresponding system models and therefore need to reference each other. Managing the correctness and consistency of interrelated safety argument and system models is essential for system dependability and is a nontrivial task. The model interface presented in this paper enables a uniform process of establishing and managing assurance case references to various types...

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• Collective modes of the extended Hubbard model with negativeUand arbitrary electron density

  Publication

  • T. Kostyrko
  • R. Micnas

  - Physical Review B - Year 1992

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