Hyper-chaos control synchronization for a fractional-order Cattaneo-Christov heat flux hybrid model with an optimal control approach

R. Surendar, M. Muthtamilselvan, Qasem M. Al-Mdallal

Research output: Contribution to journalArticlepeer-review

Abstract

The Cattaneo-Christov heat flux (CCHF) model is a Lorenz-type hyper-chaotic nonlinear physical hybrid model represented as a system of partial differential equations. The truncated Galerkin technique and similarity transformation are used in this study to transmute the governing continuity, energy and momentum equations into non-linear ordinary differential equations based on Fourier modes. Furthermore, the nondimensional features of the heat transfer fluids, along with the thermophysical attributes of the hybrid nanofluids, are considered external stochastic disturbances within the nonlinear complex system. The investigation of the Cattaneo-Christov hybrid model employs a time operator of Caputo-type derivatives. The study explores hyper-chaos, bifurcation, synchronization, and analytical solutions to manage the hyper-chaos within the fractional-order hybrid nonlinear system. This study has been designated as an innovative contribution because it investigates optimal control formulations, stability analysis, and numerical solutions for the fractional-order CCHF hybrid model for the first time. Finally, computational findings show that the proposed control technique is efficient and applicable in stabilizing fractional-order heat flux hybrid systems.

Original languageEnglish
Pages (from-to)8617-8635
Number of pages19
JournalNonlinear Dynamics
Volume112
Issue number10
DOIs
Publication statusPublished - May 2024

Keywords

  • Cattaneo-Christov heat flux model
  • Fractional calculus
  • Hyper-chaotic system
  • Optimal control
  • Synchronization

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Electrical and Electronic Engineering
  • Applied Mathematics

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