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

2025/07/10 by A. Ribeiro, Ribeiro, A, José M. Balthazar +9
Engineering · Materials Science · Physics and Astronomy · #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Innovative Energy Harvesting Technologies #Shape Memory Alloy Transformations

paper · pdf · doi:10.48550/arxiv.2507.07740

openalex publication_date 2025/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we dealt the dynamic behavior of a magnetic structure, considering a shape memory spring and a non-ideal motor as excitation. It has fractal behavior of tits basins of attraction, for a set of parameters for energy harvesting. We also considered a set of initial conditions and performed the nonlinear dynamics analysis of the dimensionless mathematical model, and then established their chaotic and periodic regions. We also established the regions of maximum and minimum average power output, which was generated by the vibrations, caused by the considered non-ideal motor.

Citations

• Characterization in bi-parameter space of a non-ideal oscillator
• A review of shape memory alloy research, applications and opportunities
• Determining Lyapunov exponents from a time series

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