Nonlinear Resonance Can Create Dense Oscillations

1991 ◽  
pp. 113-123 ◽  
Author(s):  
Jean-Luc Joly ◽  
Jeffrey Rauch
Keyword(s):  
Nonlinear Resonance

NONLINEAR RESONANCE IN CuAlNi ALLOYS

1981 ◽  
Vol 42 (C5) ◽  
pp. C5-1025-C5-1030 ◽  
Author(s):  
M. Wuttig ◽  
T. Suzuki
Keyword(s):  
Nonlinear Resonance

Nonlinear Resonance in Neuron Dynamics

1995 ◽  
Vol 50 (8) ◽  
pp. 718-726 ◽  
Author(s):  
Scott Rader ◽  
Diek W. Wheeler ◽  
W.C. Schieve ◽  
Pranab Das
Keyword(s):  
Neural Networks ◽  
Energy Transfer ◽  
Power Spectrum ◽  
Nonlinear Resonance ◽  
Nonlinear Oscillators ◽  
Hopfield Neural Networks ◽  
Neuron Dynamics

Abstract Hübler's technique using aperiodic forces to drive nonlinear oscillators to resonance is analyzed. The oscillators being examined are effective neurons that model Hopfield neural networks. The method is shown to be valid under several different circumstances. It is verified through analysis of the power spectrum, force, resonance, and energy transfer of the system.

Nonlinear Resonance Ultrasonic Spectroscopy (NRUS) for the Quality Control of Additively Manufactured Samples

2021 ◽  
pp. 102495
Author(s):  
Evan Bozek ◽  
Sam McGuigan ◽  
Zack Snow ◽  
Edward W. Reutzel ◽  
Jacques Riviere ◽  
...  
Keyword(s):  
Quality Control ◽  
Nonlinear Resonance ◽  
Ultrasonic Spectroscopy

Nonlinear-resonance line shapes: Dependence on the transverse intensity distribution of a light beam

2004 ◽  
Vol 69 (2) ◽  
Author(s):  
A. V. Taĭchenachev ◽  
A. M. Tumaikin ◽  
V. I. Yudin ◽  
M. Stähler ◽  
R. Wynands ◽  
...  
Keyword(s):  
Light Beam ◽  
Intensity Distribution ◽  
Resonance Line ◽  
Nonlinear Resonance ◽  
Line Shapes

Problems of Nonlinear Multiple-Mode Vibrations of Thin Elastic Shells of Revolution

2000 ◽  
Author(s):  
Veniamin D. Kubenko ◽  
Piotr S. Kovalchuk
Keyword(s):  
Degrees Of Freedom ◽  
Asymptotic Methods ◽  
Nonlinear Resonance ◽  
Shells Of Revolution ◽  
Elastic Shells ◽  
Resonance Amplitude ◽  
Multiple Degrees Of Freedom ◽  
Free And Forced Vibrations ◽  
Multiple Mode ◽  
Averaged Equations

Abstract A method is suggested for the calculation of nonlinear free and forced vibrations of thin elastic shells of revolution, which are modeled as dynamic systems of multiple degrees of freedom. Cases are investigated in which the shells are characterized by two or more closely-spaced eigenfrequencies. Based on an analysis of averaged equations, obtained by making use of asymptotic methods of nonlinear mechanics, a number of new first integrals is obtained, which state a regular energy exchange among various modes of cylindrical shells under conditions of nonlinear resonance. Amplitude-frequency characteristics of multiple-mode vibrations are obtained for shells subjected to radial oscillating pressure.

Internal nonlinear resonance on a charged jet

2013 ◽  
Vol 58 (5) ◽  
pp. 664-672 ◽  
Author(s):  
S. O. Shiryaeva ◽  
N. A. Petrushov ◽  
A. I. Grigor’ev
Keyword(s):  
Nonlinear Resonance ◽  
Internal Nonlinear Resonance

Sequences of Global Bifurcations and the Related Outcomes after Crisis of the Resonant Attractor in a Nonlinear Oscillator

1997 ◽  
Vol 07 (11) ◽  
pp. 2437-2457 ◽  
Author(s):  
W. Szemplińska-Stupnicka ◽  
E. Tyrkiel
Keyword(s):  
Nonlinear Oscillator ◽  
Duffing Oscillator ◽  
Nonlinear Resonance ◽  
Basins Of Attraction ◽  
Global Bifurcations ◽  
System Behavior ◽  
Coexisting Attractors ◽  
System Parameters

The problem of the system behavior after annihilation of the resonant attractor in the region of the nonlinear resonance hysteresis is considered. The sequences of global bifurcations, in connection with the associated metamorphoses of basins of attraction of coexisting attractors, are examined. The study allows one to reveal the mechanism that governs the phenomenon of the post crisis ensuing transient trajectory to settle onto one or another remote attractor. The problem is studied in detail for the twin-well potential Duffing oscillator. The boundary which splits the considered region of system parameters into two subdomains, where the outcome is unique or the two outcomes are possible, is defined.

Nonlinear Resonance Broadening and Shift due to Thermo-Optical Instability in Microsphere Resonators

2007 ◽  
Author(s):  
C. Schmidt ◽  
O. Egorov ◽  
A. Chipouline ◽  
T. Pertsch ◽  
F. Lederer ◽  
...  
Keyword(s):  
Nonlinear Resonance ◽  
Resonance Broadening
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