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• W603547344 abstract "In this paper, a rigorous computational method to compute solutions of piecewise-smooth systems using a functional analytic approach based on Chebyshev series is introduced. A general theory, based on the radii polynomial approach, is proposed to compute crossing periodic orbits for continuous and discontinuous (Filippov) piecewise-smooth systems. Explicit analytic estimates to carry the computer-assisted proofs are presented. The method is applied to prove existence of crossing periodic orbits in a model nonlinear Filippov system and in the Chua’s circuit system. A general formulation to compute rigorously crossing connecting orbits for piecewise-smooth systems is also introduced." @default.
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• W603547344 date "2016-01-01" @default.
• W603547344 modified "2023-10-18" @default.
• W603547344 title "Rigorous numerics for piecewise-smooth systems: A functional analytic approach based on Chebyshev series" @default.
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• W603547344 doi "https://doi.org/10.1016/j.cam.2015.05.016" @default.
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