Examines the dynamics of a generalized van der pol system, indicating significant impacts of kernel choice.
In this work, we examine the dynamical behavior of the Van der Pol oscillator based on a local generalized derivative, which includes, as particular cases, both conformable and non-conformable derivatives depending on the kernel considered.The analysis of the model is carried out using various kernel functions and different orders, providing a high degree of generality.Numerical simulations are compared with analytical solutions to validate the approach and to highlight the impact of the different kernels and orders.
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Valdés et al. (2026) studied this question.
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