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Lyapunov timeStability theoryAsymptotic analysisComplex dynamicsIntegrable systemLiouville's equationDynamical systemDynamical systems theoryStationary phase approximationExponential mapInvariant manifoldOseledets theoremLyapunov exponentLinear systemPolyconvexityKoenigs functionHamiltonianComplementary functionLyapunov stabilityOperator theoryBibo stabilityLyapunov equationCenter manifoldLagrangian functionElliptic boundary value problemLyapunov functionConvergence of measuresLinear dynamical systemSelf-organized criticalityL-stabilityControl theoryTikhonov regularizationOptimizationMathematical analysisStochastic calculusPartition functionEquilibrium pointPythagorean theoremComplex analysisHopf bifurcationEquivariant mapPhase spaceSystem dynamicsIsochronSymplectomorphismDiffusion processCompact convergenceOrbitQuadratic variationFlatnessStable manifoldHomotopy analysis methodMilstein methodDerivationDifferential equationAsymptotic equipartition propertySobolev inequalityHomological algebraPath integral formulationNumerical stabilityK-stabilityTrajectoryCritical functionSymplectic integratorIntegral curveGeneral topologyHomotopy theoryStationary ergodic processInterval exchange transformationSymmetric derivativeStochastic differential equationPrime number theoremNonlinear controlRecurrence quantification analysisTransfer functionMethod of characteristicsState variableHodge decompositionCorrelation functionHarmonic functionSuperstatisticsSmooth functionLasalle's invariance principleCorrelated equilibriumOrthogonalityEquation of motionChaos theoryNormalizing constantGauge theoryPattern theoryLie algebraFunctional calculusIntegro-differential equationEvolutionary dynamicsCointegrationMean value theoremLp spaceAnalytic continuationChain ruleGirsanov theorem