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Oscillations and chaos in CO+O(2) combustion.
B. R. Johnson1, J. F. Griffiths, S. K. Scott
1School of Chemistry, University of Leeds, Leeds, LS2 9JT, United Kingdom.
Chaos (Woodbury, N.Y.)
|December 1, 1991
Summary
The gas-phase reaction of carbon monoxide and oxygen exhibits complex dynamics, including bistability and oscillations. This study details the transition from simple oscillations to chaos through period-doubling, offering insights into chemical kinetics.
Area of Science:
- Chemical kinetics
- Nonlinear dynamics
- Physical chemistry
Background:
- The reaction between carbon monoxide (CO) and oxygen (O2) with trace hydrogen (H2) is known to exhibit complex dynamic behaviors.
- Understanding these complex reactions is crucial for fields like combustion and atmospheric chemistry.
Purpose of the Study:
- To investigate the bistability and oscillatory behavior of the CO-O2 reaction system.
- To characterize the transition from periodic oscillations to chaotic dynamics.
Main Methods:
- Experimental study of the gas-phase CO-O2 reaction.
- Analysis of oscillatory ignition patterns and bifurcations.
- Observation of period-doubling cascades and chaotic attractors.
Main Results:
- The reaction displays bistability and period-1 relaxation oscillations.
- Limit cycle behavior originates from a saddle-node loop and terminates via a supercritical Hopf bifurcation.
- Period-doubling bifurcations lead to period-2 solutions and subsequent period-halving to quasisinusoidal period-1 oscillations.
- Extended residence times induce a cascade of period-doublings, resulting in chaos with periodic windows.
- The chaotic attractor is characterized by a single-humped next maximum map.
Conclusions:
- The CO-O2 reaction system exhibits rich nonlinear dynamics, including a transition to chaos.
- The observed period-doubling cascade is a common route to chaos in dynamical systems.
- The findings contribute to the understanding of complex reaction mechanisms and their control.