Design of a Spherical Chaotic Oscillator and its Application in Four Cases of Celestial Mechanics

Jose Cruz Nunez Perez, Miguel Angel Estudillo Valdez, Fernando Salas Medina, Yuma Sandoval Ibarra, Vincent Ademola Adeyemi, Francisco Javier Perez Pinal

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper presents the procedure for the design of a spherical chaotic system based on the movement of two bodies that interact with each other because of the gravitational force exerted by the body of greater mass concerning the body of smaller mass. Establishing that the secondary body presents a chaotic behavior along its orbit, four cases are determined in which this could happen, which leads to creating a project that simulates each case. During the process, the precision of the results is considered to define the most optimal parameters of the project. The three output signals represent the movement of the secondary body and can be verified by the results obtained from the same system by using Matlab programs that simulate the four cases, respectively. Finally, the complete design of the four cases was performed on an FPGA board, using VHDL code.

Original languageEnglish
Title of host publication2020 IEEE International Conference on Engineering Veracruz, ICEV 2020
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728174747
DOIs
StatePublished - 26 Oct 2020
Event2020 IEEE International Conference on Engineering Veracruz, ICEV 2020 - Boca del Rao, Veracruz, Mexico
Duration: 26 Oct 202029 Oct 2020

Publication series

Name2020 IEEE International Conference on Engineering Veracruz, ICEV 2020

Conference

Conference2020 IEEE International Conference on Engineering Veracruz, ICEV 2020
Country/TerritoryMexico
CityBoca del Rao, Veracruz
Period26/10/2029/10/20

Keywords

  • FPGA
  • Gravitational force
  • Matlab
  • Orbits
  • Spherical chaotic system
  • VHDL

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