The gliding tone problem is the response of a resonant circuit when the driving force is a gliding tone, that is a chirp. The problem was first considered by Barber and Ursell, and independently by Hok, both papers appearing in 1948. Barber and Ursell, and Hok, and subsequent investigators considered approximate solutions and attempted to qualitatively understand the behavior of the response. An exact solution has never been obtained. We have found the exact Wigner distribution of the solution. This allows one to study the nature of the solution without any approximations. We have obtained the exact solution by way of a new method to study dynamical systems.
On the exact solution to the 'gliding tone' problem / Galleani, Lorenzo; Cohen, L.. - STAMPA. - (2000), pp. 410-413. (Intervento presentato al convegno IEEE SSAP 2000 tenutosi a Pocono Manor, USA nel 14-16 August 2000) [10.1109/SSAP.2000.870156].
On the exact solution to the 'gliding tone' problem
GALLEANI, Lorenzo;
2000
Abstract
The gliding tone problem is the response of a resonant circuit when the driving force is a gliding tone, that is a chirp. The problem was first considered by Barber and Ursell, and independently by Hok, both papers appearing in 1948. Barber and Ursell, and Hok, and subsequent investigators considered approximate solutions and attempted to qualitatively understand the behavior of the response. An exact solution has never been obtained. We have found the exact Wigner distribution of the solution. This allows one to study the nature of the solution without any approximations. We have obtained the exact solution by way of a new method to study dynamical systems.Pubblicazioni consigliate
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https://hdl.handle.net/11583/1663135
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