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Dynamical systemExponential stabilityLyapunov exponentIntegrable systemQuantum chaosLyapunov optimizationTopological entropyComplex dynamicsNonlinear controlRandom dynamical systemRecurrence quantification analysisOseledets theoremLyapunov equationDynamical systems theoryKoenigs functionInvariant manifoldSelf-organized criticalityPhase spaceIntermittencyLiouville's equationAnharmonicityMarkov decision processTurbulenceTime seriesStationary phase approximationTime evolutionOrbitTime complexityExponential mapEquations of motionTakens's theoremAnomalous diffusionStochastic calculusAsymptotic analysisDynamic simulationHorseshoe mapDiscrete-time fourier transformMethod of characteristicsQuadratic variationTime dependent vector fieldDiscrete time and continuous timeTime derivativeDifferential calculusCatastrophe theoryQuasiperiodic functionStability theoryDifferential equationSystem dynamicsRheonomousPolynomial chaosStochastic matrixAngular accelerationSymplectic integratorState variableCorrelation functionContinuous-time random walkLimit setInterval exchange transformationTime-invariant systemLangevin dynamicsHamiltonianDynamic time warpingLinear systemCausal structureLaw of the iterated logarithmLogarithmic decrementHopf bifurcationNonlinear systemPrime number theoremEvolutionary dynamicsQuasiperiodicityQuantum speed limitDiffusion processBaker's mapQuantum dynamicsSynchronization of chaosDynamicsCorrelation dimensionConservative systemStochastic driftAmplitudeTopological k-theoryEntropyConfiguration spaceDtimeSystem of differential equationsIrrational rotationCosmic timeOptimal controlDiscrete poisson equationArithmetic dynamicsDisintegration theoremLinear dynamical systemMarkov modelMethod of averagingReplicator equationLax pairFunctional calculusNonholonomic systemTime-scale calculus