Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Forced Oscillations

Forced Oscillations

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.

Damped Oscillations

Damped Oscillations

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...

Oscillations In An LC Circuit

Oscillations In An LC Circuit

An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by

Oscillations about an Equilibrium Position

Oscillations about an Equilibrium Position

Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so because...

Types of Damping

Types of Damping

If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...

Limits with Oscillating Discontinuities

Limits with Oscillating Discontinuities

An oscillating discontinuity is a type of discontinuity in which a function’s values fluctuate infinitely often as the input approaches a particular point. Unlike jump discontinuities, where the function suddenly shifts between two values, or infinite discontinuities, where the function diverges without bound, an oscillating discontinuity arises from rapid back-and-forth variation. Because the function never stabilizes toward a single value, no finite limit exists at that point.One of the most...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Renewal theory for a run-and-tumble particle with stochastic resetting and a sticky boundary.

Physical review. E·2026

Same author

Ion channels in respiratory rhythm generation and sensorimotor integration.

Neuron·2025

Same author

Random search with stochastic resetting: When finding the target is not enough.

Physical review. E·2025

Same author

Neuroscience: Breathe in, fear out.

Current biology : CB·2025

Same author

Kuramoto model with stochastic resetting and coupling through an external medium.

Chaos (Woodbury, N.Y.)·2025

Same author

Central amygdala-to-pre-Bötzinger complex neurotransmission is direct and inhibitory.

The European journal of neuroscience·2024

Search research articles

Related Experiment Video

Updated: Jul 2, 2026

A Method for Tracking the Time Evolution of Steady-State Evoked Potentials

A Method for Tracking the Time Evolution of Steady-State Evoked Potentials

Published on: May 25, 2019

Oscillation regularity in noise-driven excitable systems with multi-time-scale adaptation.

William H Nesse¹, Christopher A Del Negro, Paul C Bressloff

¹Department of Mathematics, University of Utah, Salt Lake City, Utah 84112, USA.

Physical Review Letters

|September 4, 2008

Summary

This summary is machine-generated.

This study reveals how distinct time scales in neural adaptation currents create oscillation irregularity in noise-driven systems. These findings explain breathing rhythm generation in mammals.

More Related Videos

Generation of Local CA1 γ Oscillations by Tetanic Stimulation

Generation of Local CA1 γ Oscillations by Tetanic Stimulation

Published on: August 14, 2015

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis

Published on: September 23, 2025

Related Experiment Videos

Last Updated: Jul 2, 2026

A Method for Tracking the Time Evolution of Steady-State Evoked Potentials

A Method for Tracking the Time Evolution of Steady-State Evoked Potentials

Published on: May 25, 2019

Generation of Local CA1 γ Oscillations by Tetanic Stimulation

Generation of Local CA1 γ Oscillations by Tetanic Stimulation

Published on: August 14, 2015

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis

Published on: September 23, 2025

Area of Science:

Computational Neuroscience
Systems Neuroscience
Biophysics

Background:

Neural oscillators generate rhythmic activity crucial for functions like breathing.
After-hyperpolarization adaptation currents (AHP) influence neural firing patterns.
Understanding oscillation regularity is key to comprehending neural circuit function.

Purpose of the Study:

To investigate the impact of multiple-exponential relaxation time scales in slow AHP currents on oscillation regularity.
To analyze the relationship between input current strength and oscillation patterns in noise-driven neural systems.
To elucidate the mechanisms underlying breathing rhythm generation in the pre-Bötzinger complex.

Main Methods:

Modeling a noise-driven system with a slow after-hyperpolarizing adaptation current (AHP) featuring multiple relaxation time scales.
Analyzing oscillation regularity across a range of input currents.
Employing analytic formulation as a stochastic escape problem.

Main Results:

Biphasic decay in AHP time scales leads to a peak in oscillation irregularity at intermediate input currents.
Regular oscillations are observed at low and high input current levels.
The observed phenomena are distinct from standard coherence resonance.

Conclusions:

Separated slow and fast AHP time scales significantly influence neural oscillation regularity.
The findings provide a mechanistic explanation for oscillation patterns in the pre-Bötzinger complex.
This work advances the understanding of neural rhythm generation and adaptation currents.