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Related Concept Videos

Sound Waves: Resonance01:14

Sound Waves: Resonance

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...
Concept of Resonance and its Characteristics01:19

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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 immune...
Parallel Resonance01:23

Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
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.
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Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators
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Noise-free logical stochastic resonance.

Animesh Gupta1, Aman Sohane, Vivek Kohar

  • 1Indian Institute of Technology Bombay, Powai, Mumbai, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 21, 2011
PubMed
Summary

This study shows that bistable systems can mimic logical stochastic resonance (LSR) without noise. Periodic forcing, like specific frequencies and amplitudes, can create LSR-like dynamics in these systems.

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Area of Science:

  • Nonlinear dynamics
  • Complex systems
  • Information theory

Background:

  • Logical stochastic resonance (LSR) typically requires noise to function.
  • LSR demonstrates a system's ability to process information by mirroring logic functions.

Purpose of the Study:

  • To investigate if LSR-like phenomena can occur in bistable systems without external noise.
  • To explore the role of periodic forcing in inducing noise-free LSR.

Main Methods:

  • Theoretical analysis of a noise-free bistable system.
  • Application of periodic forcing (sinusoidal and pulse trains).
  • Experimental validation using circuit experiments.

Main Results:

  • A noise-free bistable system can exhibit phenomena analogous to LSR.
  • Optimal windows of frequency and amplitude for periodic forcing were identified.
  • Experimental results confirmed the theoretical findings.

Conclusions:

  • Periodic forcing can induce LSR-like behavior in bistable systems, even without noise.
  • This finding expands the understanding of information processing in nonlinear systems.
  • The study suggests novel ways to achieve logic-function-like signal processing.