A prototype Helmholtz–Thompson nonlinear oscillator
- 1 September 1992
- journal article
- research article
- Published by AIP Publishing in Review of Scientific Instruments
- Vol. 63 (9) , 4208-4212
- https://doi.org/10.1063/1.1143237
Abstract
A prototype electronic (analog) circuit has been built to mimic a nonlinear oscillator proposed a century ago by Helmholtz in order to account for combinational tones in the drumskin, and more recently by Thompson to account for ship stability to waves in windy situations and its potential and eventual capsize. Besides a careful discussion of elements and their expected performance, several tests have been used to assess the reliability of the prototype.Keywords
This publication has 9 references indexed in Scilit:
- Dissipative hydrodynamic oscillatorsIl Nuovo Cimento D, 1991
- Effects of parametric perturbations on the onset of chaos in the Josephson-junction model: Theory and analog experimentsPhysical Review A, 1990
- Ship stability criteria based on chaotic transients from incursive fractalsPhilosophical Transactions A, 1990
- Rich bifurcation behaviors of the driven van der Pol oscillatorPhysics Letters A, 1989
- An analysis of the Lorenz equations: Stable exact solutionsPhysics Letters A, 1985
- The duffing oscillator: Analog solutions and a comparison with harmonic linearizationInternational Journal of Non-Linear Mechanics, 1985
- Universal behavior in nonlinear systemsPhysica D: Nonlinear Phenomena, 1983
- Intermittent transition to turbulence in dissipative dynamical systemsCommunications in Mathematical Physics, 1980
- Deterministic Nonperiodic FlowJournal of the Atmospheric Sciences, 1963