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Bifurcation analysis is a key tool for understanding the transitions between different dynamical regimes in Rissler mixers. As parameters are varied, the system can undergo period-doubling bifurcations, where stable periodic orbits give way to more complex behaviors. Additionally, secondary bifurcations such as Hopf bifurcations can occur, leading to the emergence of limit cycles. These bifurcations provide insights into how small changes in system parameters can lead to dramatic shifts in behavior.

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