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

Cyclic Processes And Isolated Systems

Cyclic Processes And Isolated Systems

A thermodynamic system with zero heat exchange and work is an isolated system. For these systems, the internal energy remains constant.
In the case of a non-isolated system, the change in the internal energy is zero only if the process is cyclic. A thermodynamic process is considered cyclic if the system undergoes a series of changes and returns to its initial state.
Consider a cyclic process that returns to its initial state, undergoing a four-step process. The heat transfer along each path...

BIBO stability of continuous and discrete -time systems

BIBO stability of continuous and discrete -time systems

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.

¹H NMR: Long-Range Coupling

¹H NMR: Long-Range Coupling

The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene π orbitals.

¹H NMR: Interpreting Distorted and Overlapping Signals

¹H NMR: Interpreting Distorted and Overlapping Signals

Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...

Fermi Level Dynamics

Fermi Level Dynamics

The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...

Linear time-invariant Systems

Linear time-invariant Systems

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 calculated...

You might also read

Related Articles

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

Sort by

Same author

Simulating climate with a synchronization-based supermodel.

Chaos (Woodbury, N.Y.)·2018

Same author

"FORCE" learning in recurrent neural networks as data assimilation.

Chaos (Woodbury, N.Y.)·2018

Same author

Role of atmosphere-ocean interactions in supermodeling the tropical Pacific climate.

Chaos (Woodbury, N.Y.)·2018

Same author

Introduction to focus issue: Synchronization in large networks and continuous media-data, models, and supermodels.

Chaos (Woodbury, N.Y.)·2018

Same author

A pulse sequence optimization method for assessment of nucleus size in q-space analysis of idealized cells.

Journal of magnetic resonance (San Diego, Calif. : 1997)·2013

Same author

A "cellular neuronal" approach to optimization problems.

Chaos (Woodbury, N.Y.)·2009

Search research articles

Related Experiment Video

Updated: Jun 21, 2026

Conducting Hyperscanning Experiments with Functional Near-Infrared Spectroscopy

Conducting Hyperscanning Experiments with Functional Near-Infrared Spectroscopy

Published on: January 19, 2019

Synchronization of extended systems from internal coherence.

Gregory S Duane¹

¹National Center for Atmospheric Research, Boulder, Colorado 80307, USA. gregory.duane@colorado.edu

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

|August 8, 2009

Summary

This summary is machine-generated.

Researchers explored synchronizability in coupled Hamiltonian systems, finding that internal coherence enables partial synchronization. This phenomenon, observed in particle physics models, manifests as positional coincidence of coherent oscillations.

More Related Videos

New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies

New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies

Published on: October 6, 2023

Assessing the Multiple Dimensions of Engagement to Characterize Learning: A Neurophysiological Perspective

Assessing the Multiple Dimensions of Engagement to Characterize Learning: A Neurophysiological Perspective

Published on: July 1, 2015

Related Experiment Videos

Last Updated: Jun 21, 2026

Conducting Hyperscanning Experiments with Functional Near-Infrared Spectroscopy

Conducting Hyperscanning Experiments with Functional Near-Infrared Spectroscopy

Published on: January 19, 2019

New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies

New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies

Published on: October 6, 2023

Assessing the Multiple Dimensions of Engagement to Characterize Learning: A Neurophysiological Perspective

Assessing the Multiple Dimensions of Engagement to Characterize Learning: A Neurophysiological Perspective

Published on: July 1, 2015

Area of Science:

Physics
Applied Mathematics
Dynamical Systems

Background:

Coupled systems governed by partial differential equations (PDEs) often require internal synchronization for overall synchronizability.
This condition has been previously demonstrated in forced-dissipative systems.

Purpose of the Study:

To extend the condition for synchronizability to Hamiltonian systems.
To investigate a specific form of synchronization in coupled scalar field models within an expanding universe.

Main Methods:

Utilized a particle physics example to illustrate the synchronizability condition in Hamiltonian systems.
Analyzed coupled scalar field models with nonlinear potentials in an expanding universe.
Investigated the occurrence of coherent oscillations (breathers/oscillons) and their positional coincidence.

Main Results:

Internal coherence within individual systems is a necessary condition for the synchronizability of coupled Hamiltonian systems.
Full synchronization is prevented by Liouville's theorem in these systems.
A weaker form of synchronization, characterized by the positional coincidence of oscillons, was observed in coupled scalar field models with nonlinear potentials.

Conclusions:

Internal coherence facilitates a form of partial synchronization in coupled Hamiltonian systems, specifically the positional coincidence of oscillons.
The presence of oscillons is crucial for this observed synchronization phenomenon.
The findings extend the understanding of synchronization in complex physical systems.