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Reduction of SO(2) Symmetry for Spatially Extended Dynamical Systems

Journal Article published 27 Feb 2015 in Physical Review Letters volume 114 issue 8

Research funded by National Science Foundation (DMS-1211827)

Authors: Nazmi Burak Budanur, Predrag Cvitanović, Ruslan L. Davidchack, Evangelos Siminos

Neighborhoods of periodic orbits and the stationary distribution of a noisy chaotic system

Journal Article published 23 Dec 2015 in Physical Review E volume 92 issue 6

Research funded by National Science Foundation (DMS-1211827) | National Natural Science Foundation of China (11450110057-041323001)

Authors: Jeffrey M. Heninger, Domenico Lippolis, Predrag Cvitanović

Periodic orbit analysis of a system with continuous symmetry—A tutorial

Journal Article published Jul 2015 in Chaos: An Interdisciplinary Journal of Nonlinear Science volume 25 issue 7 on page 073112

Research funded by Family of late G. Robinson | National Science Foundation (CBET-0853691, DMS-1211827)

Authors: Nazmi Burak Budanur, Daniel Borrero-Echeverry, Predrag Cvitanović

Cartography of high-dimensional flows: A visual guide to sections and slices

Journal Article published Dec 2012 in Chaos: An Interdisciplinary Journal of Nonlinear Science volume 22 issue 4 on page 047506

Research funded by National Science Foundation (CBET-0853691, DMS-0807574)

Authors: Predrag Cvitanović, Daniel Borrero-Echeverry, Keith M. Carroll, Bryce Robbins, Evangelos Siminos

Unstable Manifolds of Relative Periodic Orbits in the Symmetry-Reduced State Space of the Kuramoto–Sivashinsky System

Journal Article published 25 Nov 2016 in Journal of Statistical Physics volume 167 issue 3-4 on pages 636 to 655

Research funded by National Science Foundation (1211827)

Authors: Nazmi Burak Budanur, Predrag Cvitanović

Perturbation theory for the Fokker–Planck operator in chaos

Journal Article published Feb 2018 in Communications in Nonlinear Science and Numerical Simulation volume 55 on pages 16 to 28

Research funded by National Natural Science Foundation of China (11450110057-041323001) | National Science Foundation (DMS-1211827)

Authors: Jeffrey M. Heninger, Domenico Lippolis, Predrag Cvitanović

Symmetry reduction in high dimensions, illustrated in a turbulent pipe

Journal Article published 5 Feb 2016 in Physical Review E volume 93 issue 2

Research funded by Engineering and Physical Sciences Research Council (EP/K03636X/1) | National Science Foundation (NSF DGE-0707424, NSF DMS-1211827)

Authors: Ashley P. Willis, Kimberly Y. Short, Predrag Cvitanović

Effective theory of fractional topological insulators in two spatial dimensions

Journal Article published 20 Jun 2013 in Physical Review B volume 87 issue 24

Research funded by National Science Foundation

Authors: Predrag Nikolić

Estimating the Dimension of an Inertial Manifold from Unstable Periodic Orbits

Journal Article published 7 Jul 2016 in Physical Review Letters volume 117 issue 2

Research funded by National Science Foundation (DMS-1211827, CMMI-1028133) | Japan Society for the Promotion of Science (JP25707033, JP25103004) | Ministry of Education, Culture, Sports, Science and Technology (25103004)

Authors: X. Ding, H. Chaté, P. Cvitanović, E. Siminos, K. A. Takeuchi

Maximums on trees

Journal Article published Jan 2015 in Stochastic Processes and their Applications volume 125 issue 1 on pages 217 to 232

Research funded by National Science Foundation (CMMI-1131053)

Authors: Predrag R. Jelenković, Mariana Olvera-Cravioto