Mixed Mode Oscillations due to the Generalized Canard Phenomenon

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Geometric singular perturbation analysis of an autocatalator model (2009, methodology): “Mixed-mode oscillations have been related to certain types of canards, which generate the small oscillations while the large oscillations are often of relaxation type [2], [12], [16], [17], [18].”
Local analysis near a folded saddle-node singularity (2010, background): “One can derive canonical forms [41, 7] that depend solely on one parameter μ=λ1/λ2 which denotes the ratio between the corresponding eigenvalues of the folded singularity in (5): ẋ = μ 2 y − (μ + 1)z + O(x, ε, (y + z)(2)) ẏ = 1 + O(x, y, z, ε) εż = x + z(2) + O(z(3), xz(2), xyz, ε(x + y + z), ε(2)) ”
Mixed-Mode Oscillations with Multiple Time Scales (2012, background): “Brøns, Krupa and Wechselberger [31] found the following.”