Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

BIBO stability of continuous and discrete -time systems01:24

BIBO stability of continuous and discrete -time systems

1.1K
System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
1.1K
Stability01:28

Stability

516
The time response of a linear time-invariant (LTI) system can be divided into transient and steady-state responses. The transient response represents the system's initial reaction to a change in input and diminishes to zero over time. In contrast, the steady-state response is the behavior that persists after the transient effects have faded.
The stability of an LTI system is determined by the roots of its characteristic equation, known as poles. A system is stable if it produces a bounded...
516
Multimachine Stability01:25

Multimachine Stability

698
Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
698
Linear time-invariant Systems01:23

Linear time-invariant Systems

1.1K
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...
1.1K
Stability of Equilibrium Configuration01:23

Stability of Equilibrium Configuration

1.0K
Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
1.0K
Stability of Equilibrium Configuration: Problem Solving01:13

Stability of Equilibrium Configuration: Problem Solving

1.2K
The stability of equilibrium configurations is an important concept in physics, engineering, and other related fields. In simple terms, it refers to the tendency of an object or system to return to its equilibrium position after being disturbed. The stability of an equilibrium configuration can be analyzed by considering the potential energy function of the system and examining its behavior near the equilibrium point.
Problem-solving in the context of the stability of equilibrium configuration...
1.2K

You might also read

Related Articles

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

Sort by
Same author

Toward a Neurobiological Model of Gestalt Confluence: Thalamocortical Integration as a Hypothetical Framework for Contact Interruption.

Brain sciences·2026
Same author

Progressive intracranial meningioma regression after standalone endovascular embolization: a multicenter study.

Journal of neurointerventional surgery·2026
Same author

Alternative Treatment Positions over Supine in Adjuvant Whole Breast RT: Prone, Lateral or What Else? A Comprehensive Narrative Review.

Journal of personalized medicine·2026
Same author

Systematic Review and Meta-Analysis on Rescue Stenting for Large-Vessel Occlusion due to Underlying Intracranial Atherosclerotic Stenosis (ICAS).

AJNR. American journal of neuroradiology·2026
Same author

Microvascular dysfunction in Takotsubo syndrome: a systematic review.

Postgraduate medicine·2026
Same author

Door-to-Balloon Time Delay in Complex Primary Angioplasty: A Case of Anomalous Origin of the Right Coronary Artery From the Pulmonary Artery (ARCAPA).

Case reports in cardiology·2025

Related Experiment Video

Updated: May 3, 2026

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
06:44

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

Published on: September 23, 2025

709

Nucleation in bistable dynamical systems with long delay.

Giovanni Giacomelli1, Francesco Marino1, Michael A Zaks2

  • 1CNR-Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 4, 2014
PubMed
Summary
This summary is machine-generated.

In asymmetric bistable systems, a stronger state can be overcome by a weaker one if the initial phase is too small. This phenomenon, observed in models and semiconductor lasers, reveals critical scaling laws.

More Related Videos

Plasmid-derived DNA Strand Displacement Gates for Implementing Chemical Reaction Networks
07:50

Plasmid-derived DNA Strand Displacement Gates for Implementing Chemical Reaction Networks

Published on: November 25, 2015

14.1K
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

7.6K

Related Experiment Videos

Last Updated: May 3, 2026

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
06:44

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

Published on: September 23, 2025

709
Plasmid-derived DNA Strand Displacement Gates for Implementing Chemical Reaction Networks
07:50

Plasmid-derived DNA Strand Displacement Gates for Implementing Chemical Reaction Networks

Published on: November 25, 2015

14.1K
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

7.6K

Area of Science:

  • Nonlinear Dynamics
  • Complex Systems
  • Optical Physics

Background:

  • Asymmetric bistable dynamical systems with delayed feedback typically exhibit a dominant 'stronger' stable state.
  • This stronger state is usually preferred, attracting the system from various initial conditions, including oscillatory ones.

Purpose of the Study:

  • To investigate the conditions under which the 'weaker' state can be established in an asymmetric bistable system.
  • To identify the critical threshold for the initial 'nucleus' of the stronger phase.
  • To characterize the asymptotic properties and scaling laws of this phenomenon.

Main Methods:

  • Theoretical analysis of a paradigmatic asymmetric bistable dynamical model with delayed feedback.
  • Experimental validation using a bistable semiconductor laser system.
  • Characterization of system behavior based on initial conditions and scaling laws.

Main Results:

  • Demonstration that a sufficiently small initial nucleus of the stronger phase leads to its shrinkage.
  • Observation that the weaker state can be established instead of the stronger one under specific initial conditions.
  • Identification of scaling laws governing the system's asymptotic properties related to this phase transition.

Conclusions:

  • The dominance of a stable state in asymmetric bistable systems is not absolute and depends critically on initial conditions.
  • A minimum initial size for the stronger phase is required to overcome the influence of the weaker phase.
  • This study provides insights into phase selection mechanisms and their scaling behavior in complex systems.