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Related Concept Videos

Concept of Resonance and its Characteristics01:19

Concept of Resonance and its Characteristics

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...
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...
Resonance in an AC Circuit01:26

Resonance in an AC Circuit

The property of an inductor makes it resist any change in the current passing through it, while the property of a capacitor is to build up the charge across its terminals. Hence, if an inductor and capacitor are connected in series, they have opposite effects on the relative phase between current and voltage. The current through the circuit undergoes forced oscillation at the frequency of the source. The resistance term in an R-L-C circuit acts as a damping term because power is dissipated...
Standing Waves in a Cavity01:28

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
Double Resonance Techniques: Overview01:12

Double Resonance Techniques: Overview

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...
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:

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Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
12:18

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Published on: August 5, 2013

Coherent resonance in a one-way coupled system

Jiang1, Xin

  • 1Department of Chemical Physics, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China and Center of Nonlinear Science, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of Chin.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
Summary
This summary is machine-generated.

Coherent resonance emerges in coupled nonlinear systems with noise, even without external signals. Coupling controls the propagation of this resonance, enhancing or suppressing it along a chain.

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Area of Science:

  • Nonlinear Dynamics
  • Complex Systems
  • Stochastic Resonance

Background:

  • Nonlinear systems with intrinsic limit cycle dynamics are fundamental in various scientific fields.
  • The interplay of noise and nonlinearity can lead to complex emergent behaviors.
  • Cooperative phenomena in coupled systems are crucial for understanding signal propagation and information processing.

Purpose of the Study:

  • To investigate the occurrence and characteristics of resonancelike behavior in coupled nonlinear systems driven by noise.
  • To explore the role of coupling strength and noise levels in sustaining and controlling coherent resonance.
  • To determine if external signal tuning is necessary for observing coherent resonance.

Main Methods:

  • Theoretical analysis of coupled nonlinear oscillators with limit cycle dynamics.
  • Numerical simulations to observe the propagation of coherent resonance along a one-way chain.
  • Systematic variation of noise intensity and coupling constants to identify optimal conditions.

Main Results:

  • Demonstrated a resonancelike phenomenon arising from the cooperative effect of noise, nonlinear dynamics, and coupling, independent of external signals.
  • Showcased that coupling significantly influences the propagation of coherent resonance, enabling substantial enhancement or suppression.
  • Identified conditions where coherent resonance occurs without parameter tuning, relying on appropriate noise levels and coupling constants.

Conclusions:

  • Coherent resonance is an emergent property of coupled nonlinear systems with intrinsic dynamics and noise.
  • Coupling acts as a critical control parameter for the propagation and characteristics of coherent resonance.
  • This phenomenon offers a pathway for signal amplification or attenuation in noise-driven complex systems without external forcing.