6533b862fe1ef96bd12c628d
RESEARCH PRODUCT
Non-linear systems under delta correlated processes handled by perturbation theory
Antonina Pirrottasubject
Mechanical EngineeringDirect methodNumerical analysisCoordinate systemAerospace EngineeringDuffing equationOcean EngineeringStatistical and Nonlinear PhysicsCondensed Matter PhysicsMoment (mathematics)Nonlinear systemClassical mechanicsNuclear Energy and EngineeringRandom vibrationStatistical physicsPerturbation theoryCivil and Structural EngineeringMathematicsdescription
Statistical responses in terms of moment and correlation functions of non-linear systems driven by non-normal delta correlated external pulses are derived. The procedure takes full advantage of the perturbation theory approach. Then, by means of a proper coordinate transformation, the system is replaced by a quasi-linear system for which the statistical quantities can be exactly found.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-10-01 |