Vol. 9 No. 2 (2025): Vol 9, Iss 2, Year 2025
Articles

Exploring Transcritical and Pitchfork Bifurcations in Parameter-Varying Systems

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  • Geethalakshmi S,
  • Kalaiyarasi S,
  • Saraswathi D,
  • Vignesh K
Geethalakshmi S
Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Tamil Nadu, South India.
Kalaiyarasi S
Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Tamil Nadu, South India.
Saraswathi D
Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Tamil Nadu, South India
Vignesh K
Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Tamil Nadu, South India
DOI: https://doi.org/10.26524/cm216
Published December 20, 2025
Keywords
  • Bifurcation, Transcritical Bifurcation, Pitchfork bifurcation, Non-autonomous , Unstable, Pullback Trajectory.
How to Cite
Geethalakshmi S, Kalaiyarasi S, Saraswathi D, & Vignesh K. (2025). Exploring Transcritical and Pitchfork Bifurcations in Parameter-Varying Systems. Journal of Computational Mathematica, 9(2), 29-38. https://doi.org/10.26524/cm216

Abstract

This work explores with an emphasis on limited trajectories close to the origin, as well as their pullback attraction and asymptotic instability, this paper examines non-autonomous trans critical bifurcations as well as pitchfork bifurcation. It examines the circumstances in which bifurcation takes place, using the dynamics outlined in system.

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