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Hopf bifurcationSaddle-node bifurcationPeriod-doubling bifurcationCatastrophe theoryTranscritical bifurcationBifurcation theoryPitchfork bifurcationBifurcationOrbitPhase spaceLimit cycleFeigenbaum constantsOscillationRecurrence plotAccumulation pointIntegral curveAttractorStable manifoldBézier curveBessel functionRadial curveParametrizationInvariant manifoldDynamical systemBoundary value problemLimit setSymbolic dynamicsDynamical systems theoryDynkin diagramParametric equationHyperbolaSymmetry breakingRoot locusLyapunov exponentMisiurewicz pointLoopMultifractal systemElliptic boundary value problemCrisisPlane curveFractalPhase planeRegular singular pointMatrix differential equationPenrose diagramBounded variationConserved quantityNomogramHomeomorphismQuantum operationParametric familyGraphHolomorphic functionStefan problemSinuosityAsymptoteStability theoryCobweb plotInflection pointDeterminantal point processTransversalityScatter plotBaire functionConic sectionSpiralEigenvalue perturbationBasin of attractionLissajous curveFractal dimensionAsymptotic expansionSpectral graph theoryStochastic differential equationPolynomial chaosCausal loop diagramSierpinski curveMandelbrot setBregman divergenceFunctional derivativeSpectrumGraph of a functionBranch cutImplicit functionPullbackEuler diagramConfluent hypergeometric functionVoronoi diagramFixed-point theoremsCatastropheTakens's theoremDifference quotientProcess functionWaveformLine graphStationary pointTopological graphGoverning equationTangential and normal componentsMathematical modelGeometric flowBicubic interpolation