25 citations · 55 across the 17 of their papers we have counts for
6 papers · 1 filter
Flow primitives and infinitesimal generators of Perron-Frobenius and Koopman operators
Phanindra Tallapragada
The Koopman and the Perron-Frobenius operators are increasingly becoming popular in the control of complex nonlinear systems such as in a wide variety of robotics problems and flow…
Chaotic mixing using micro-rotors in a confined domain
Phanindra Tallapragada, Senbagaraman Sudarsanamn
In this work we study chaotic mixing induced by point micro-rotors in a bounded two dimensional Stokes flow. The dynamics of the pair of rotors, modeled as rotlets, are non Hamilto…
Chaotic Dynamics of the Chaplygin sleigh with a passive internal rotor
Vitaliy Fedonyuk, Phanindra Tallapragada
The Chaplygin sleigh is a classic example of a nonholonomically constrained mechanical system. The sleigh's motion always converges to a straight line whose slope is entirely deter…
A globally stable attractor that is locally unstable everywhere
Phanindra Tallapragada, Senbagaraman Sudarsanam
We construct two examples of invariant manifolds that despite being locally unstable at every point in the transverse direction are globally stable. Using numerical simulations we…
Computation of Finite Time Lyapunov Exponents using the Perron-Frobenius operator
Phanindra Tallapragada
The problem of phase space transport which is of interest both theoretically and from the point of view of applications has been investigated extensively using geometric and probab…
Particle separation by Stokes number for small neutrally buoyant spheres in a fluid
Phanindra Tallapragada, Shane. D. Ross
It is a commonly observed phenomenon that spherical particles with inertia in an incompressible fluid do not behave as ideal tracers. Due to the inertia of the particle, the dynami…