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

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...

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...

Feedback control systems

Feedback control systems

Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...

Effects of feedback

Effects of feedback

Feedback in control systems plays a critical role in shaping various operational parameters, extending beyond simple error reduction to influence stability, bandwidth, gain, impedance, and sensitivity. Understanding these effects requires examining a basic feedback system characterized by defined input, output, error, and feedback signals.
Feedback significantly modifies the gain of a control system. The gain of a system without feedback is altered by a factor of one plus GH, where G represents...

Partial Differential Equations

Partial Differential Equations

A stone dropped into a still pond generates waves that propagate outward in circular patterns, creating a dynamic surface whose elevation depends on both position and time. At any given location, the water level oscillates as the wave passes, while at any fixed moment, the surface exhibits smooth, curved structures extending across space. This dual dependence requires a mathematical description that accounts for variation in multiple variables simultaneously.At a fixed point on the water...

Second Order systems II

Second Order systems II

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.
If ζ...

You might also read

Related Articles

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

Sort by

Same author

Photon-Scanning Approach to Control Spiral Wave Dynamics in the Heart.

Physical review letters·2024

Same author

Physical biomarkers for human hematopoietic stem and progenitor cells.

Cells & development·2023

Same author

Pulsed low-energy stimulation initiates electric turbulence in cardiac tissue.

PLoS computational biology·2021

Same author

Simple Physical Model Unravels Influences of Chemokine on Shape Deformation and Migration of Human Hematopoietic Stem Cells.

Scientific reports·2018

Same author

Guidance for Pediatric Familial Hypercholesterolemia 2017.

Journal of atherosclerosis and thrombosis·2018

Same author

Efficacy and Safety of Pitavastatin in Children and Adolescents with Familial Hypercholesterolemia in Japan and Europe.

Journal of atherosclerosis and thrombosis·2017

Search research articles

Related Experiment Video

Updated: Jul 13, 2026

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing

Published on: February 13, 2018

External forcing and feedback control of nonlinear dissipative waves.

Hidekazu Tokuda¹, Vladimir S Zykov, Takao Ohta

¹Department of Physics, Kyoto University, Kyoto, 606-8502, Japan. tokuda@ton-scphys.kyoto-u.ac.jp

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|August 7, 2007

Summary

Traveling waves in nonlinear systems exhibit complex dynamics, including direction reversal, when subjected to spatiotemporal and feedback forcing in chemical reactions. Theoretical analysis provides insight into this unexpected wave behavior.

Related Experiment Videos

Last Updated: Jul 13, 2026

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing

Published on: February 13, 2018

Area of Science:

Nonlinear Dynamics
Chemical Reaction Systems
Wave Propagation

Background:

Traveling waves are fundamental in nonlinear dissipative systems.
Understanding their stability and behavior under external influences is crucial.
Phase-separated systems with chemical reactions offer a complex platform for studying wave dynamics.

Purpose of the Study:

To analytically and numerically investigate the dynamics of traveling waves in a nonlinear dissipative system.
To explore the effects of spatiotemporal and feedback forcing on wave stability and behavior.
To understand unexpected phenomena such as propagation direction reversal.

Main Methods:

Analytical study of traveling wave dynamics.
Numerical simulations of the nonlinear dissipative system.
Application of spatiotemporal and feedback forcing.
One-dimensional analysis of wave stability and behavior.
Utilizing a phase dynamical approach for theoretical insights.

Main Results:

Characterization of traveling wave dynamics under external forcing.
Identification of conditions leading to wave instability.
Observation and analysis of unexpected behaviors, notably the reversal of propagation direction.
Validation of analytical findings through numerical simulations.

Conclusions:

Spatiotemporal and feedback forcing significantly alter traveling wave dynamics in nonlinear dissipative systems.
The phase dynamical approach offers a robust framework for understanding complex wave phenomena.
Unexpected behaviors like direction reversal are predictable under specific forcing conditions.