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Transition between multimode oscillations in a loaded hair bundle.

Fuqiang Wu1, Runxia Wang1

  • 1School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China.

Chaos (Woodbury, N.Y.)
|September 2, 2019
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Summary
This summary is machine-generated.

This study explores hair bundle dynamics, revealing how stiffness variations induce oscillations and chaos. Controlling adapting stiffness transitions the system from stable states to complex chaotic and hyperchaotic attractors.

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Area of Science:

  • Biophysics
  • Nonlinear Dynamics

Background:

  • Hair bundles are mechanosensitive organelles crucial for sensory transduction.
  • Their dynamics are influenced by mechanical load and internal adaptation mechanisms.

Purpose of the Study:

  • To investigate the complex dynamics of an autonomous hair bundle system under mechanical load.
  • To analyze the role of linear and adapting stiffness in generating oscillations and chaotic behavior.

Main Methods:

  • Mathematical modeling of hair bundle mechanics.
  • Analysis of autonomous system dynamics.
  • Application of fast-slow decomposition theory.
  • Bifurcation analysis and Lyapunov exponent calculation.

Main Results:

  • Spontaneous oscillations arise from interactions between linear and adapting stiffness.
  • Varying linear stiffness can lead to weakly chaotic attractors.
  • Adapting stiffness controls transitions from bistable states to limit cycles and chaotic attractors.
  • A negative adapting stiffness results in a double-scroll chaotic attractor.
  • An improved system with two slow variables exhibits transitions to hyperchaotic attractors.

Conclusions:

  • The interplay of stiffness parameters is critical for hair bundle dynamic complexity.
  • The system demonstrates rich nonlinear phenomena, including chaos and hyperchaos.
  • Controlling adapting stiffness offers a mechanism to tune hair bundle behavior from stable to chaotic regimes.