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Nonlinear systemCausal systemMotionDynamical systemEquations of motionState spaceNonlinear controlCircular motionInexact differentialState variableInvariant manifoldTime-invariant systemConserved quantityQuantum stateNon-inertial reference frameRandom dynamical systemDegrees of freedomConservation lawRandom walkNonlinear programmingQuantum chaosAnharmonicityCausal structurePath integral formulationOrbitLinear systemNon-perturbativeConstraintStep responseSpontaneous symmetry breakingTransverse waveTime reversibilityTrajectoryInvariantNon-euclidean geometryEntropyDynamical systems theoryRotating reference frameFlatnessAnomalous diffusionAccelerationQuantum phase transitionConfiguration spaceCurve orientationPonderomotive forceNon-monotonic logicDifferential equationNon-equilibrium thermodynamicsStochastic simulationAnticommutative propertyIntegrable systemChiral anomalyCorrelation functionMagnetic anisotropyPhase spaceMathematical modelTime evolutionActionCurveSymmetrySelection ruleRelativistic mechanicsPathHyperbolic geometryMetastabilityForceOptical phase spaceSemiclassical physicsConservative forceHopf bifurcationSpin networkForce fieldTwo-state quantum systemCausal inferenceAxiomatic systemNo-go theoremQuantum operationSelf-organized criticalityMathematical theoryRotational invarianceDynamicsTheoretical physicsMatrix differential equationInverse scattering transformOrbit equationDeterministic systemCausal modelQuantum dynamicsRigid body dynamicsInequalityQuantum speed limitPhysical propertyNonlinear filterIntegral curvePartial differential equationHomotopy analysis methodGeometric transformationExponential mapSelf-avoiding walkIntegro-differential equation