A purely frequency based Floquet-Hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems
Louis Guillot, A. J. Lazarus, Olivier Thomas, Christophe Vergez, Bruno Cochelin
Topics & Concepts
Floquet theoryFourier seriesOrdinary differential equationOdeFrequency domainHarmonic balanceMathematicsStability (learning theory)Monodromy matrixTaylor seriesApplied mathematicsContext (archaeology)Series (stratigraphy)Fourier transformQuadratic equationTime domainMathematical analysisNonlinear systemComputer scienceDifferential equationPhysicsComputer visionMachine learningBiologyPaleontologyGeometryEigenvalues and eigenvectorsQuantum mechanicsBladed Disk Vibration DynamicsMechanical and Optical ResonatorsNonlinear Photonic Systems