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May 17, 2026Chaos An Interdisciplinary Journal of Nonlinear Science0 citations

Armstrong-Hélouvry Friction Oscillator: Entangled Chaotic Structures in Parameter Space

Armstrong-Hélouvry friction oscillator: Emergence of entangled chaotic and multiperiodic structures in parameter space

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Authors

СКС. В. Кузнецов

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Overview

Randomized trial analyzes chaotic oscillations in parameter space, suggesting insights into friction dynamics.

Key Points

  • The aim is to analyze the behavior of forced harmonic oscillators with Armstrong-Hélouvry friction and explore dynamical features in parameter space.
  • Analyzed forced harmonic oscillators using Poincaré sections and parameter-space basins of attraction.
  • Constructed as functions of two friction model parameters under fixed initial conditions.
  • Performed numerical simulations with a variable-step Adams–Bashforth–Moulton scheme for long-time integration.
  • Identified tongue-like regions of chaotic attractors analogous to Arnold tongues for periodic responses.
  • Observed chaotic regimes with fractal basin boundaries, indicating complex behavior.
  • Noted the emergence of entangled basins and significant topological changes in Poincaré sections due to parameter variations.

Cite This Study

С. В. Кузнецов (2026) studied this question.

synapsesocial.com/papers/6a095b5d7880e6d24efe11f6https://doi.org/10.1063/5.0333432
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