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Related Concept Videos

Concept of Resonance and its Characteristics01:19

Concept of Resonance and its Characteristics

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If a driven oscillator needs to resonate at a specific frequency, then very light damping is required. An example of light damping includes playing piano strings and many other musical instruments. Conversely, to achieve small-amplitude oscillations as in a car's suspension system, heavy damping is required. Heavy damping reduces the amplitude, but the tradeoff is that the system responds at more frequencies. Speed bumps and gravel roads prove that even a car's suspension system is not...
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When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
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Sound Waves: Resonance01:14

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Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
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In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
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Double Resonance Techniques: Overview01:12

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Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...
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Linear Approximation in Frequency Domain01:26

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Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
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Related Experiment Video

Updated: Nov 21, 2025

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators
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Vibrational and stochastic resonances in driven nonlinear systems.

U E Vincent1,2, P V E McClintock2, I A Khovanov3

  • 1Department of Physical Sciences, Redeemer's University, P.M.B. 230, Ede, Nigeria.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|January 18, 2021
PubMed
Summary

Nonlinear systems exhibit resonance phenomena when driven by external forces. This research explores vibrational and stochastic resonances, detailing their analysis, occurrence, and applications in advanced technologies.

Keywords:
driven oscillatorsnonlinear systemsstochastic resonancevibrational resonance

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Area of Science:

  • Physics
  • Engineering
  • Mathematics
  • Life Sciences
  • Medicine

Background:

  • Nonlinear systems are prevalent in nature and across scientific disciplines.
  • Resonance is a key property of driven nonlinear systems.
  • Stochastic resonance and vibrational resonance occur with multiple driving forces.

Purpose of the Study:

  • To provide an overview of vibrational and stochastic resonances in driven nonlinear systems.
  • To present state-of-the-art contributions on induced resonances.
  • To cover theoretical, numerical, and experimental perspectives on resonance analysis and applications.

Main Methods:

  • Analysis of nonlinear system dynamics.
  • Investigation of resonance phenomena under external driving forces.
  • Exploration of applications in advanced technologies.

Main Results:

  • Driven nonlinear systems exhibit complex dynamics, including resonance.
  • Stochastic and vibrational resonance phenomena are identified and analyzed.
  • Potential applications span materials science, quantum control, and condensed matter systems.

Conclusions:

  • Vibrational and stochastic resonances are crucial phenomena in driven nonlinear systems.
  • Understanding these resonances is key to developing advanced technologies.
  • This theme issue offers a comprehensive overview of the field.