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Rayleigh-type parametric chemical oscillation.

Shyamolina Ghosh1, Deb Shankar Ray1

  • 1Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India.

The Journal of Chemical Physics
|October 3, 2015
PubMed
Summary
This summary is machine-generated.

We discovered sustained Rayleigh-type oscillations in nonlinear chemical systems driven by specific sinusoidal forcing. This parametric oscillation differs from typical damped nonlinear system behavior.

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Area of Science:

  • Chemical dynamics
  • Nonlinear systems
  • Oscillations

Background:

  • Nonlinear chemical systems can exhibit complex dynamics.
  • Parametric oscillations are known in physical systems but less explored in chemical dynamics.

Purpose of the Study:

  • To investigate the emergence of sustained Rayleigh-type oscillations in a nonlinear chemical system.
  • To differentiate this phenomenon from forced quasiperiodic oscillations.

Main Methods:

  • Theoretical analysis of a two-phase space variable nonlinear chemical dynamical system.
  • Numerical simulations of established chemical models (chlorite-iodine-malonic acid, iodine-clock reactions).

Main Results:

  • A stable steady state system, when subjected to sinusoidal forcing above a threshold, exhibits sustained Rayleigh-type periodic oscillation.
  • This parametric oscillation is distinct from quasiperiodic oscillations in damped nonlinear systems.

Conclusions:

  • Parametric oscillation can be induced in nonlinear chemical systems.
  • The findings are validated through theoretical analysis and numerical simulations of key chemical reactions.