Freire Macías, EmilioPonce Núñez, EnriqueRos Padilla, Francisco Javier2024-11-252024-11-252024-06-01Freire Macías, E., Ponce Núñez, E. y Ros Padilla, F.J. (2024). Chaos in the Piecewise Linear Saddle-Focus with Helicoidal Return. En 7th IFAC Conference on Analysis and Control of Nonlinear Dynamics and Chaos, ACNDC 2024. IFAC-PapersOnLine: Vol. 58, 5 (60-65), London: Elsevier.2405-8963https://hdl.handle.net/11441/164878© 2024 The Authors. This is an open access article under the CC BY-NC-ND license.We introduce an interesting family of three-dimensional differential systems whose vector field is continuous and piecewise linear. A first analysis of its dynamics is presented, including a rigorous proof on the recurrence of orbits, and some necessary conditions for existence of homoclinic connections. Accordingly, parameter regions with Shilnikov chaos are detected.application/pdf6 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/BifurcationsChaosLimit cyclesNonlinear systemsPiecewise linear analysisinfo:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.ifacol.2024.07.064