This paper describes the emergence of chaotic dynamics in a nonlinear peridynamic wave equation. We demonstrate that the infinite-dimensional linear peridynamic wave equation does not exhibit chaotic behavior. However, if the bond force in the model is a convenient nonlinear function of the relative displacement, the resulting motion becomes irregular, unpredictable and complex, which are the three main signatures of chaos.
Chaos in the conservative peridynamic wave equation
Scabbia F.;Zaccariotto M.;Galvanetto U.
2026
Abstract
This paper describes the emergence of chaotic dynamics in a nonlinear peridynamic wave equation. We demonstrate that the infinite-dimensional linear peridynamic wave equation does not exhibit chaotic behavior. However, if the bond force in the model is a convenient nonlinear function of the relative displacement, the resulting motion becomes irregular, unpredictable and complex, which are the three main signatures of chaos.
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