approximate inertial manifolds

Shvartsman, and Kevrekidis. (1998) 1998. “Nonlinear Model Reduction for Control of Distributed Systems: A Computer-Assisted Study”. Aiche JournalAiche Journal 44 (7): 1579-95.

Reference Link
Shvartsman, Rico-Martinez, ES TITI, Theodoropoulos, Mountziaris, Kevrekidis, and Georgakis. 1999. Order Reduction of Nonlinear Dynamic Models for Distributed Reacting Systems. Oxford: Pergamon Press Ltd.

Reference Link
FOIAS, Jolly, Kevrekidis, and ES TITI. (1994) 1994. “ON SOME DISSIPATIVE FULLY DISCRETE NONLINEAR GALERKIN SCHEMES FOR THE KURAMOTO-SIVASHINSKY EQUATION”. Physics Letters APhysics Letters A 186 (1-2): 87-96.

Reference Link
Cao, Kevrekidis, and ES TITI. 2001. “Numerical Criterion for the Stabilization of Steady States of the Navier-Stokes Equations”. Indiana University Mathematics JournalIndiana University Mathematics Journal 50: 37-96.

Reference Link
Johnson, Jolly, and Kevrekidis. (2001) 2001. “The Oseberg Transition: Visualization of Global Bifurcations for the Kuramoto-Sivashinsky Equation”. International Journal of Bifurcation and ChaosInternational Journal of Bifurcation and Chaos 11 (1): 1-18.

Reference Link
Shvartsman, Theodoropoulos, Rico-Martinez, Kevrekidis, ES TITI, and Mountziaris. (2000) 2000. “Order Reduction for Nonlinear Dynamic Models of Distributed Reacting Systems”. Journal of Process ControlJournal of Process Control 10 (2-3): 177-84.

Reference Link
Sonday, Benjamin, Amit Singer, and Ioannis Kevrekidis. (2013) 2013. “Noisy Dynamic Simulations in the Presence of Symmetry: Data Alignment and Model Reduction”. Computers & Mathematics With Applications 65 (10): 1535-57.

Reference Link