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February 12, 2026International Journal of Bifurcation and Chaos

Dynamics of a Tree Trunk Structure in Double-Well Potential Under Dual Turbulent Flow and Periodic Loading

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Authors

YKY. J. Fernando KpomahouAAAdebiyi Joseph AdechinanNTN. Bernard Tokpohozin

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Overview

Analysis reveals structural response under dual excitations, suggesting damping stabilizes chaotic behavior.

Key Points

  • This research aims to understand the nonlinear dynamics of a tree trunk influenced by turbulent and periodic forces.
  • Developed a mathematical model using a Duffing oscillator framework.
  • Analyzed vibrational resonance for single and double peaks.
  • Applied Melnikov’s method for chaos analysis and threshold curve definition.
  • Utilized a fourth-order Runge–Kutta algorithm for numerical simulations of dynamics.
  • Found that damping significantly reduces the amplitudes of resonance peaks.
  • Identified transitions to chaos through varying the periodic excitation frequency.
  • Observed suppression of chaos with increasing damping, leading to stable periodic behavior.
  • Noted multistability with multiple periodic and chaotic attractors, showcasing sensitivity to initial conditions.

Cite This Study

Kpomahou et al. (2026) studied this question.

synapsesocial.com/papers/698d6e6e5be6419ac0d5428fhttps://doi.org/10.1142/s0218127426500811
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