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IntegrabilitySymplectic integratorDynamical systemIntegro-differential equationInvariant manifoldIntegrable functionLocally integrable functionSystem of differential equationsIntegral curveIntegral equationComplex dynamicsLinear dynamical systemKoenigs functionFredholm theoryAlgebraic functionInvariant measureDynamical systems theoryDifferential equationEndomorphismImpulse functionFunctional calculusFunction spaceExponential stabilityDefinite integralDiffeomorphismComplex analysisPropertyLyapunov timeDifferential operatorTopological k-theoryArithmetic dynamicsAlgebraic integerDistribution functionHeat equationLinear systemDerivationMathematical analysisAlgebra homomorphismLiouville's equationRiemann sumInvertibilityFredholm operatorOrbitComplementary functionSelf-organized criticalityIndefinite integralAnticommutative propertyEquivariant mapDisintegration theoremNormal convergenceTrigonometric integralSymmetric derivativeInterval exchange transformationGeometric calculusAutomorphismDifferential formInverse scattering transformHomotopy theoryMethod of characteristicsSimplicial setGeometric algebraAnalytic functionUniform continuityUltradistributionPotential theoryEquilibrium pointCancellation propertySingular integralLine integralHomological algebraIterated function systemEuler substitutionModeEuler summationConvergence of measuresInterpolation inequalityGeometric function theoryMathematical modelStability theoryInclusion functionGeneralized functionStationary phase approximationIrrational rotationHamiltonianCritical functionConvergent seriesLinear inequalityPath integral formulationExponential mapAxiomatic systemImplicit surfaceState variableCompact convergenceConserved quantityDiffusion processSymplectomorphismLogarithmic integral functionMathematical theoryTopological propertyRoot system