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[121530] Artykuł: Asymmetric Duffing Oscillator: Jump Manifold and Border SetCzasopismo: Nonlinear Dynamics and Systems Theory Tom: 23, Zeszyt: 1, Strony: 45-57ISSN: 1562-8353 Opublikowano: Luty 2023 Autorzy / Redaktorzy / Twórcy Grupa MNiSW: Publikacja w czasopismach wymienionych w wykazie ministra MNiSzW (część A) Punkty MNiSW: 40 Pełny tekst Keywords: metamorphoses of amplitude-frequency curves  jump phenomenon  |
The jump phenomenon, present in the forced asymmetric Duffing oscillator, is studied using the known steady-state asymptotic solution. The main result consists in construction of a new mathematical object – a jump manifold – encoding global information about all possible jumps. The jump manifold is computed for the forced asymmetric Duffing oscillator, and several examples of jumps are calculated, showing the advantages of the method.