Interpolated Poincaré map and application to mixing problems

doi:10.1016/0960-0779(94)90076-0

Chaos, Solitons & Fractals

Volume 4, Issue 5, May 1994, Pages 681-692

https://doi.org/10.1016/0960-0779(94)90076-0 Get rights and content

Abstract

The interpolated Poincaré map is proposed based on numerical integration in one period or less and spline interpolation. Efficiency and applicability of this method is illustrated via a study of mixing of fluids in a co-rotating discontinuous cavity flow.

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Interpolated Poincaré map and application to mixing problems

Abstract

J. Sound Vib.

Int. J. Non-Linear Mech.

Phys. Lett. A.

Phys. Lett. A

Analytical representation of stroboscopic maps of ordinary nonlinear differential equations

Z. Phys. B - Condensed Matter