6533b862fe1ef96bd12c61f1
RESEARCH PRODUCT
Non-linear systems under impulsive parametric input
M. Di PaolaAntonina Pirrottasubject
State variableApplied MathematicsMechanical EngineeringNumerical analysisDuffing equationImpulse (physics)Nonlinear systemReal-valued functionMechanics of MaterialsControl theoryJumpApplied mathematicsMathematicsParametric statisticsdescription
In this paper the problem of the response of non-linear systems excited by an impulsive parametric input is treated. For such systems the response exhibits a jump depending on the amplitude of the impulse as well as on the value of the state variables immediately before the impulse occurrence. Recently, the jump prediction has been obtained in a series form. Here the incremental rule for any scalar real valued function is obtained in an analytical form involving the jump of the state variables. It is also shown that the formulation for the jump evaluation is also able to give a new step-by-step integration technique.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-09-01 |