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Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
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Updated: May 14, 2026

Alignment of Synchronized Time-Series Data Using the Characterizing Loss of Cell Cycle Synchrony Model for Cross-Experiment Comparisons
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Synchronization between two weakly coupled delay-line oscillators.

Etgar C Levy1, Moshe Horowitz

  • 1Department of Electrical Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel. etgarlevy@gmail.com

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 2, 2013
PubMed
Summary
This summary is machine-generated.

Weakly coupled delay-line oscillators require amplitude dynamics, unlike phase-only models. This study reveals new synchronization possibilities and stability conditions for continuous-wave signal generation in these systems.

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Area of Science:

  • Physics
  • Electrical Engineering
  • Nonlinear Dynamics

Background:

  • Delay-line oscillators feature cavity lengths exceeding signal wavelengths.
  • Coupled oscillator models are common but may oversimplify complex dynamics.

Purpose of the Study:

  • To theoretically investigate continuous-wave signal generation in weakly coupled delay-line oscillators.
  • To determine the limitations of traditional coupled phase-oscillator models for these systems.
  • To establish accurate modeling for synchronization phenomena.

Main Methods:

  • Analytical solution derivation.
  • Comprehensive numerical simulations.
  • Stability analysis of continuous-wave solutions.

Main Results:

  • Amplitude dynamics are crucial in delay-line oscillators, even with weak coupling.
  • Coupled phase-oscillator models are insufficient for accurate prediction.
  • Synchronization regimes beyond phase-oscillator models were identified.
  • Bandwidth limitation is essential for ensuring stability.

Conclusions:

  • A novel model for weakly coupled delay-line oscillators accurately captures synchronization.
  • The model shows excellent quantitative agreement with optoelectronic oscillator simulations.
  • This work advances the understanding and modeling of coupled oscillator systems.