Related Experiment Video
Updated: Jul 2, 2025

09:58
Investigating the Three-dimensional Flow Separation Induced by a Model Vocal Fold Polyp
Published on: February 3, 2014
8.5K
Nonlinear dynamics and chaos in a vocal-ventricular fold system
Takumi Inoue1, Kota Shiozawa1, Takuma Matsumoto1
1Graduate School of Science and Engineering, Ritsumeikan University, Noji-higashi, Kusatsu, Shiga 525-8577, Japan.
Chaos (Woodbury, N.Y.)
|February 22, 2024
Summary
Ventricular folds vibrate with vocal folds during singing or pathology. Nonlinear dynamics reveal coupled oscillator behaviors, aiding diagnosis of voice disorders like ventricular fold dysphonia.
Area of Science:
- Biomechanics
- Voice production
- Nonlinear dynamics
Background:
- Ventricular folds are superior to vocal folds in humans.
- They can vibrate with vocal folds during singing or voice pathology.
- Physical models offer a framework for studying vocalization biomechanics.
Purpose of the Study:
- Analyze experimental data from physical models of vocal and ventricular folds.
- Investigate co-oscillations and irregular dynamics in vocal fold systems.
- Apply nonlinear dynamics to understand voice production mechanisms.
Main Methods:
- Experimental analysis of physical models of vocal and ventricular folds.
- Application of nonlinear dynamics principles.
- Modeling the system as two coupled oscillators.
Main Results:
- Observed various cooperative behaviors in coupled vocal and ventricular fold models.
- Identified synchronized oscillations with 1:1 or 1:2 frequency ratios.
- Documented desynchronized oscillations exhibiting torus or chaotic dynamics.
Conclusions:
- The vocal fold system can be modeled as coupled oscillators.
- Nonlinear dynamics explain complex vibrational patterns, including irregular dynamics.
- Findings support the diagnosis of voice pathologies like ventricular fold dysphonia.
Related Concept Videos
Forced Oscillations
6.6K
When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
6.6K
Damped Oscillations
5.7K
In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
Although friction and other non-conservative...
5.7K
Linear Approximation in Frequency Domain
91
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
91
Second Order systems II
110
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
110
Second Order systems I
160
A servo system exemplifies a second-order system, featuring a proportional controller and load elements that ensure the output position aligns with the input position. The relationship between these components is described by a second-order differential equation. Applying the Laplace transform under zero initial conditions yields the transfer function, showing how inputs are converted to outputs in the system.
By reinterpreting the system, one can derive the closed-loop transfer function, which...
By reinterpreting the system, one can derive the closed-loop transfer function, which...
160
Linear time-invariant Systems
258
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
258

