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Complex behavior in driven unidirectionally coupled overdamped Duffing elements.

Visarath In1, Antonio Palacios, Adi R Bulsara

  • 1Space and Naval Warfare Systems Center, Code 2373, 49590 Lassing Road, A341, San Diego, California 92152-5001, USA. visarath@spawar.navy.mil

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 16, 2006
PubMed
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Dynamical systems can be engineered to oscillate, enabling the detection of weak magnetic signals. This study explores coupled bistable elements for quantifying target signals through induced oscillations.

Area of Science:

  • Nonlinear Dynamics
  • Complex Systems
  • Ferromagnetism

Background:

  • Overdamped unforced dynamical systems typically do not oscillate.
  • Coupling schemes and initial conditions can induce oscillations in nonlinear systems above a threshold.
  • Previous work demonstrated oscillations in a soft-potential mean-field model of ferromagnetic dynamics.

Purpose of the Study:

  • To investigate the dynamics of coupled bistable 'standard quartic' elements.
  • To explore the induction of oscillations in this system by DC and time-periodic target signals.
  • To harness these oscillations for quantifying target signals.

Main Methods:

  • Analysis of coupled bistable nonlinear dynamic elements.
  • Exploration of parameter space for oscillatory behavior.

Related Experiment Videos

  • Investigation of target signal influence on oscillation characteristics.

    • Main Results:

    • The coupled bistable system exhibits oscillatory behavior similar to, yet distinct from, previous models.
    • Both DC and time-periodic target signals can induce complex oscillations.
    • Oscillation characteristics are shown to be sensitive to the target signal properties.

    Conclusions:

    • Engineered oscillations in coupled nonlinear systems offer a mechanism for weak signal detection.
    • The 'standard quartic' model provides a platform for studying signal-induced dynamics.
    • This approach can be utilized to quantify characteristics of target magnetic signals.