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On the Hausdorff dimension and Cantor set structure of sliding shilnikov invariant sets - MaRDI portal

On the Hausdorff dimension and Cantor set structure of sliding shilnikov invariant sets

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Publication:6642308

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DOI10.1088/1361-6544/ad8d9cMaRDI QIDQ6642308

Gabriel Ponce, Douglas Duarte Novaes, Matheus G. C. Cunha

Publication date: 22 November 2024

Published in: Nonlinearity (Search for Journal in Brave)

zbMATH Keywords

invariant sets Hausdorff dimension Cantor sets iterated function systems Filippov systems attractor sets sliding shilnikov connections

Mathematics Subject Classification ID

Discontinuous ordinary differential equations (34A36) Fractals (28A80) Complex behavior and chaotic systems of ordinary differential equations (34C28) Hausdorff and packing measures (28A78) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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