Safe basins for a nonlinear oscillator with ramped forcing | Zendy

James A. Wright | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Safe basins for a nonlinear oscillator with ramped forcing

Author(s) -

James A. Wright

Publication year - 2016

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2016.0190

Subject(s) - forcing (mathematics) , amplitude , nonlinear system , structural basin , physics , focus (optics) , constant (computer programming) , mechanics , statistical physics , control theory (sociology) , geology , computer science , atmospheric sciences , quantum mechanics , optics , geomorphology , artificial intelligence , control (management) , programming language

A nonlinear oscillator is studied in the presence of external forcing for which the amplitude initially depends on time. The focus is on the sizes of the basins of attraction which do not lead to unbounded motions, collectively termed the ‘safe basin’. Direct comparisons are drawn between the regime of constant forcing amplitude and that where the forcing amplitude initially depends on time. In the process, questions from previous literature are answered and previously unexplained phenomena are understood. Furthermore, we witness a new phenomenon, not previously observed for the system studied.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research