MathDB6 problems
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Toral FSN II persistence conjecture
A toral folded singularity is a folded singularity of the averaged radial-slow system associated with a fold of limit cycles. A toral FSN II is a toral folded singularity that coin…
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AMBs torus-doubling conjecture
An amplitude-modulated bursting (AMB) solution is a torus-canard-induced mixed-mode oscillation whose rapidly oscillating waveform has an envelope with a specified number of small…
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Amplitude-modulated bursting torus-doubling conjecture
An amplitude-modulated bursting (AMB) waveform is a rapidly oscillating bursting trajectory whose envelope contains a number of smaller oscillations. In the Politi–Höfer model, cha…
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Toral FSN II singular torus-bifurcation conjecture
A toral FSN II is a folded singularity of the averaged radial-slow system that occurs when an ordinary singularity crosses the fold curve, under the conditions … The averaged radia…
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Torus-canard doubling conjecture
A maximal torus canard is a trajectory formed by the intersection of the attracting and repelling invariant manifolds of limit cycles near a toral folded node. A bifurcation of tor…
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Roberts et al.'s averaged torus-canard conjecture
A torus canard is a trajectory in a slow–fast system whose rapid oscillations follow a family of limit cycles and whose slow drift passes through a folded singularity of the averag…