On Nonlinear Dynamics Of A Nonideal Magnetic System With Shape Memory Alloy To Energy Harvesting Using Uncertainty Exponent And Entropy Of Basin Of Attractions Approaches

A Ribeiro, J M Balthazar, A M Tusset, J J Lima, J L P Felix, v Piccirillo · arXiv · 2025

A nonlinear, non-ideal magnetic energy-harvesting model incorporating a shape memory spring is analyzed via basin-of-attraction fractality and uncertainty/entropy measures to map chaotic/periodic regimes and power-output extremes.

Moderate AI ConfidenceGood SourceSimulationReadiness Unknown

Plain English summary

The paper analyzes the dynamic behavior of a magnetic structure used for energy harvesting. The system includes a shape memory spring and a non-ideal motor as the excitation source. The authors study how the system’s long-term behavior depends on parameters and initial conditions. They report fractal behavior in the basins of attraction and use uncertainty exponent and entropy of these basins to characterize the dynamics. They also identify regions where the system behaves chaotically versus periodically, and they determine where the average power output is maximized or minimized due to vibration excitation from the non-ideal motor.

Why this matters

The abstract frames the novelty around applying uncertainty exponent and entropy of basin-of-attractions approaches to a nonideal magnetic energy-harvesting system that includes a shape memory spring. No evidence in the abstract of prototype development, field testing, or commercialization; the work is presented as nonlinear dynamics analysis of a mathematical model.

Key findings

  • Nonlinear dynamics analysis of a dimensionless mathematical model for a magnetic energy-harvesting system with a shape memory spring and non-ideal motor excitation.
  • Fractal behavior of basins of attraction for parameter sets relevant to energy harvesting.
  • Mapping of chaotic and periodic regions based on initial conditions and model parameters.
  • Identification of regions corresponding to maximum and minimum average power output generated by vibration.

Limitations

The abstract does not specify experimental validation, device fabrication, material characterization, or quantitative performance metrics beyond identifying power-output regions. It also does not clarify how the model parameters relate to real hardware.

Publication

Publisher
arXiv
Publication date
July 10, 2025
Research type
Preprint
arXiv
2507.07740
Access
open

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Method note: Summaries and ratings on this page are generated by AI from the abstract only. Read the original paper for full context. · Model: gpt-5.4-nano-2026-03-17