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This study presents an electronic experimental model of the classical three-body harmonic system, revealing its complex regular and chaotic dynamics. The experiment validates theoretical predictions, offering a new tool for analyzing this fundamental physics model.

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Area of Science:

  • Classical mechanics
  • Quantum physics
  • Atomic and molecular physics

Background:

  • The three-body harmonic system is a fundamental model in physics.
  • It exhibits complex dynamics, including regular and chaotic behavior.
  • Its quantum counterpart is crucial in atomic and molecular physics.

Purpose of the Study:

  • To experimentally realize and analyze the classical three-body harmonic system.
  • To investigate the mixed regular and chaotic dynamics.
  • To provide a complementary tool for theoretical analysis.

Main Methods:

  • Developed a novel electronic experimental setup.
  • Independently controlled system parameters and initial states via voltage inputs.
  • Analyzed dynamics using time series, phase planes, and largest Lyapunov exponents.

Main Results:

  • Successfully created an electronic experimental model of the three-body harmonic system.
  • Observed and characterized both regular and chaotic motions.
  • Demonstrated excellent qualitative and quantitative agreement between experimental results and theoretical predictions.

Conclusions:

  • The electronic experimental realization serves as a valuable tool for studying the three-body harmonic system.
  • The study confirms the rich dynamics predicted by classical theory.
  • This approach facilitates exploration of different dynamical regimes.