Statistical Stability for Robust Classes of Maps With Non-Uniform Expansion

Statistical Stability for Robust Classes of Maps With Non-Uniform Expansion

Statistical Stability for Robust Classes of Maps With Non-Uniform Expansion

Statistical stability for robust classes of maps with non-uniform expansion

We consider open sets of maps in a manifold M exhibiting non-uniform expanding behaviour in some domain S ⊂ M . Assuming that there is a forward invariant region containing S where each map has a unique SRB measure, we prove that under general uniformity conditions, the SRB measure varies continuously in the L1-norm with the map. As a main application we show that the open class of maps introdu...

Coupled Flap-Lag-Torsional Vibration Analysis of Pre-twisted Non-uniform Helicopter Blades

An approximate numerical mthod is presented for analysis and determination of modal characteristics in straight, pretwisted non-unifom helicopter blades. The analysis considers the coupled flapwise bending (out of plane), chordwise bending (in plane), and torsion vibration of both rotating and non-rotating blades. The proposed method is based on the integral expansion of Green functions (struct...

Coupled Flap-Lag-Torsional Vibration Analysis of Pre-twisted Non-uniform Helicopter Blades

An approximate numerical mthod is presented for analysis and determination of modal characteristics in straight, pretwisted non-unifom helicopter blades. The analysis considers the coupled flapwise bending (out of plane), chordwise bending (in plane), and torsion vibration of both rotating and non-rotating blades. The proposed method is based on the integral expansion of Green functions (struct...