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Related Concept Videos

Heterogeneous Catalysis01:22

Heterogeneous Catalysis

Heterogeneous catalysis involves a catalyst in a different phase from the reactants. It is a process where the catalyst and the reactants are in distinct phases, typically solid and gas or liquid.Most heterogeneous catalysts are metals, metal oxides, or acids. The list includes transition metals like iron (Fe), cobalt (Co), nickel (Ni), palladium (Pd), platinum (Pt), chromium (Cr), manganese (Mn), tungsten (W), silver (Ag), and copper (Cu). These metals possess partially vacant d orbitals that...
Carrier Generation and Recombination01:22

Carrier Generation and Recombination

Carrier generation is the process by which electron-hole pairs (EHPs) are created within the semiconductor. In direct-bandgap semiconductors, such as gallium arsenide (GaAs), this occurs efficiently when energy absorption prompts valence electrons to leap into the conduction band, leaving behind holes.
This process is given by the generation rate G and is efficient due to the conservation of momentum between the valence band maximum and conduction band minimum.
Indirect generation involves an...
¹H NMR Chemical Shift Equivalence: Homotopic and Heterotopic Protons01:03

¹H NMR Chemical Shift Equivalence: Homotopic and Heterotopic Protons

Protons in identical electronic environments within a molecule are chemically equivalent and have the same chemical shift. The replacement test is a useful tool to identify chemical equivalence and predict NMR spectra. A substituent replaces each of the protons being examined and the resulting molecules are compared. If the same molecule is obtained, the protons are equivalent or homotopic. Replacement of any hydrogens in ethane by chlorine yields chloroethane because all six protons are...
Catalysis02:50

Catalysis

The presence of a catalyst affects the rate of a chemical reaction. A catalyst is a substance that can increase the reaction rate without being consumed during the process. A basic comprehension of a catalysts’ role during chemical reactions can be understood from the concept of reaction mechanisms and energy diagrams.
Catalysis01:27

Catalysis

Catalysis influences the rate of chemical reactions by providing an alternative reaction pathway with lower activation energy. A catalyst speeds up a reaction, but it is not consumed during the process. The fundamental principle of catalysis is the ability of a catalyst to alter the reaction mechanism, often introducing a more efficient pathway than the uncatalyzed process.In a catalyzed reaction, the catalyst participates directly in the reaction mechanism. It interacts with reactants to form...
Homogeneous Equilibria for Gaseous Reactions02:15

Homogeneous Equilibria for Gaseous Reactions

Homogeneous Equilibria for Gaseous Reactions
For gas-phase reactions, the equilibrium constant may be expressed in terms of either the molar concentrations (Kc) or partial pressures (Kp) of the reactants and products. A relation between these two K values may be simply derived from the ideal gas equation and the definition of molarity. According to the ideal gas equation:

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Related Experiment Video

Updated: Jun 24, 2026

CAPRRESI: Chimera Assembly by Plasmid Recovery and Restriction Enzyme Site Insertion
07:37

CAPRRESI: Chimera Assembly by Plasmid Recovery and Restriction Enzyme Site Insertion

Published on: June 25, 2017

Chimera states in heterogeneous networks.

Carlo R Laing1

  • 1Institute of Information and Mathematical Sciences, Massey University, Private Bag, Auckland, New Zealand. c.r.laing@massey.ac.nz

Chaos (Woodbury, N.Y.)
|April 2, 2009
PubMed
Summary

Chimera states in coupled oscillator networks can be destroyed or stabilized by introducing heterogeneity in oscillator frequencies. This study explores how frequency distributions impact these complex synchronized and unsynchronized states.

Area of Science:

  • Complex systems
  • Nonlinear dynamics
  • Network science

Background:

  • Chimera states are observed in networks of coupled oscillators, featuring coexisting synchronized and incoherent populations.
  • Previous research primarily focused on identical oscillators, leaving the impact of heterogeneity less explored.

Purpose of the Study:

  • To investigate chimera states in heterogeneous networks of coupled oscillators.
  • To analyze the effect of natural frequency distributions on the emergence and stability of chimera states.

Main Methods:

  • Exact analytical results for two-subnetwork models by reduction to a finite set of differential equations.
  • Generalization of known results for oscillators arranged in a ring network.

Main Results:

Related Experiment Videos

Last Updated: Jun 24, 2026

CAPRRESI: Chimera Assembly by Plasmid Recovery and Restriction Enzyme Site Insertion
07:37

CAPRRESI: Chimera Assembly by Plasmid Recovery and Restriction Enzyme Site Insertion

Published on: June 25, 2017

  • Heterogeneity in natural frequencies can lead to the destruction of chimera states.
  • Specific forms of heterogeneity can eliminate all states except chimerae.
  • Destabilization of chimera states through Hopf bifurcations is observed depending on the heterogeneity's characteristics.

Conclusions:

  • The presence and nature of heterogeneity in natural frequencies critically influence the existence and stability of chimera states in coupled oscillator networks.
  • Findings provide insights into the complex dynamics of heterogeneous oscillatory systems.