Canards Oscillations, Noise-Induced Splitting of Cycles and Transition to Chaos in Thermochemical Kinetics

We study how noise generates complex oscillatory regimes in the nonlinear thermochemical kinetics. In this study, basic mathematical Zeldovich–Semenov model is used as a deterministic skeleton. investigate stochastic version of that takes into account multiplicative random fluctuations temperature. our we use direct numerical simulation solutions with subsequent statistical analysis probability densities and Lyapunov exponents. parametric zone Canard cycles, qualitative effects caused by are identified investigated. Stochastic P-bifurcations corresponding to noise-induced splitting oscillations parametrically described. It shown such associated both amplitudes frequencies. Studying D-bifurcations, localized rather narrow parameter where transitions from order chaos occur.