Abstract
AbstractThe Sal'nikov thermokinetic oscillator model is investigated in a spherical reactor with a temperature‐dependent surface/volume ratio. If the temperature is driven sinusoidally, period doubling and chaos occurs. A typical chaotic state of the model is analyzed by various methods, like attractor reconstruction, dimensional analysis and computation of Lyapunov exponents. We demonstrate that unstable periodic orbits embedded in the strange attractor are stabilized by a continuous delay time method according to Pyragas. Two simple stabilized orbits are shown and discussed. We also use the continuous method of chaos control for the tracking of unstable orbits through a sequence of period doublings and chaos.
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