MathDB4 problems
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The fractional-order threshold conjecture for chaos in continuous-time FODS
A fractional ordered dynamical system (FODS) is a dynamical system involving differential operators of non-integer order; here, "order" refers to the fractional differentiation ord…
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The conjecture that bifurcation diagrams of fractional-order maps are not yet clarified
Bifurcation-diagram conjecture. Contrarily to integer-order maps, determining the bifurcation diagrams of fractional-order maps is far from being a clarified problem.
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Chaos in autonomous fractional systems of total order greater than two
Fractional-system chaos conjecture. Chaos may exist in autonomous nonlinear systems with total system order
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Chaos and cascade-of-bifurcations trajectories in fractional systems of dimension less than two
Chaos and CBTT conjecture. Chaos and CBTT are possible in fractional systems with fewer than two dimensions.