Abstract
Experimental results obtained with the Belousov–Zhabotinskii reaction in a continuous stirred reactor are analyzed in order to distinguish between periodic and chaotic behavior. Power spectra and stereoscopic three-dimensional state space trajectories are presented for both periodic oscillations and for chaos. A next amplitude map is constructed for the chaotic case and from it a Liapunov characteristic exponent of +0.62 is calculated. The rate of divergence of trajectories is illustrated by following the behavior as predicted from the next amplitude map of 10 points initially very close together.
Keywords
ChaoticAmplitudeDivergence (linguistics)CHAOS (operating system)Statistical physicsPeriodic orbitsSpace (punctuation)ExponentPhysicsPower (physics)MathematicsMathematical analysisClassical mechanicsThermodynamicsOpticsComputer science
Affiliated Institutions
Related Publications
Experiment on Chaotic Responses of a Forced Belousov-Zhabotinsky Reaction
The periodic perturbation is imposed on the Belousov-Zhabotinsky reaction by means of periodically repeated stirring of the reacting mixture. Since the flow of the mixture cause...
Chaotic mode competition in parametrically forced surface waves
Vertical forcing of a fluid layer leads to standing waves by means of a subharmonic instability. When the driving amplitude and frequency are chosen to be near the intersection ...
Shadowing, rare events, and rubber bands. A variational Verlet algorithm for molecular dynamics
We present a variational implementation of the Verlet algorithm for molecular dynamics which is both conceptually and computationally attractive. Given an approximate path, this...
Strange Attractors, Chaotic Behavior, and Information Flow
Simple system equations displaying turbulent behavior are reviewed in the light of information theory. It is argued that a physical implementation of such equations is capable o...
Particle swarm optimization: surfing the waves
A new optimization method has been proposed by J. Kennedy and R.C. Eberhart (1997; 1995), called Particle Swarm Optimization (PSO). This approach combines social psychology prin...
Publication Info
- Year
- 1981
- Type
- article
- Volume
- 74
- Issue
- 11
- Pages
- 6171-6177
- Citations
- 244
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
244
OpenAlex
Cite This
John L. Hudson,
J. C. Mankin
(1981).
Chaos in the Belousov–Zhabotinskii reaction.
The Journal of Chemical Physics
, 74
(11)
, 6171-6177.
https://doi.org/10.1063/1.441007
Identifiers
- DOI
- 10.1063/1.441007