Dynamic and Persistence of the Heteroclinic orbit for the model of the cantilever beam

Authors

  • Andres Felipe Camelo Munoz Department of Mathematics , Universidad Tecnol´ogica de Pererira , Colombia
  • Diego Alexander Castro Guevara Department of Mathematics , Universidad Tecnol´ogica de Pererira , Colombia
  • Guillermo Villa Mart Department of Mathematics , Universidad Tecnol´ogica de Pererira , Colombia

DOI:

https://doi.org/10.19139/soic-2310-5070-3162

Keywords:

No linear analysis, Melinkov function, spectral analysis, dynamical systems, beam dynamic

Abstract

We study the dynamics for a nonlinear model of a cantilever beam, the dynamics of the system are governed by a quasilinear equation. We analyze the existence of a pitchfork bifurcation on the conservative case with the presence of heteroclinic orbit, then we study the persistence of heteroclinic orbits when the system is subjected to a periodic perturbation of the form $f(t) = \gamma cos(wt)$.

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Published

2026-06-08

How to Cite

Munoz, A. F. C., Diego Alexander Castro Guevara, & Guillermo Villa Mart. (2026). Dynamic and Persistence of the Heteroclinic orbit for the model of the cantilever beam. Statistics, Optimization & Information Computing, 16(1), 797–807. https://doi.org/10.19139/soic-2310-5070-3162

Issue

Vol. 16 No. 1 (2026)

Section

Research Articles

License

Copyright (c) 2026 Andres Felipe Camelo Munoz, Diego Alexander Castro Guevara, Guillermo Villa Mart

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