By Professor Gary Froyland

Journal articles

Froyland G; González-Tokman C; Quas A, 2014, 'Detecting isolated spectrum of transfer and Koopman operators with Fourier analytic tools', Journal of Computational Dynamics, 1, pp. 249 - 278, http://dx.doi.org/10.3934/jcd.2014.1.249

Froyland, G. ; Stuart, R. ; Van Sebille, E. , 2014, 'How well-connected is the surface of the global ocean?', Chaos, 24, pp. 033126-1 - 033126-10, http://dx.doi.org/10.1063/1.4892530

Froyland G; Maher SJ; Wu CL, 2014, 'The recoverable robust tail assignment problem', Transportation Science, 48, pp. 351 - 372, http://dx.doi.org/10.1287/trsc.2013.0463

Froyland G; Pollett PK; Stuart RM, 2014, 'A closing scheme for finding almost-invariant sets in open dynamical systems', Journal of Computational Dynamics, 1, pp. 135 - 162, http://dx.doi.org/10.3934/jcd.2014.1.135

Dunbar M; Froyland G; Wu CL, 2014, 'An integrated scenario-based approach for robust aircraft routing, crew pairing and re-timing', Computers and Operations Research, 45, pp. 68 - 86, http://dx.doi.org/10.1016/j.cor.2013.12.003

Walker DM; Tordesillas A; Froyland G, 2014, 'Mesoscale and macroscale kinetic energy fluxes from granular fabric evolution', Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 89, http://dx.doi.org/10.1103/PhysRevE.89.032205

Froyland G; Gottwald GA; Hammerlindl A, 2014, 'A computational method to extract macroscopic variables and their dynamics in multiscale systems', SIAM Journal on Applied Dynamical Systems, 13, pp. 1816 - 1846, http://dx.doi.org/10.1137/130943637

Balasuriya S; Froyland G; Santitissadeekorn N, 2014, 'Absolute flux optimising curves of flows on a surface', Journal of Mathematical Analysis and Applications, 409, pp. 119 - 139, http://dx.doi.org/10.1016/j.jmaa.2013.06.013

Bose C; Froyland G; González-Tokman C; Murray R, 2014, 'Ulam's method for Lasota-Yorke maps with holes', SIAM Journal on Applied Dynamical Systems, 13, pp. 1010 - 1032, http://dx.doi.org/10.1137/130917533

Froyland G; Gonzalez-Tokman C; Quas A, 2014, 'Stability and approximation of random invariant densities for Lasota-Yorke map cocycles', Nonlinearity, 27, pp. 647 - 660, http://dx.doi.org/10.1088/0951-7715/27/4/647

Froyland G; Lloyd S; Quas A, 2013, 'A semi-invertible oseledets theorem with applications to transfer operator cocycles', Discrete and Continuous Dynamical Systems, 33, pp. 3835 - 3860, http://dx.doi.org/10.3934/dcds.2013.33.3835

Froyland G, 2013, 'An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems', Physica D - Nonlinear Phenomena, 250, pp. 1 - 19, http://dx.doi.org/10.1016/j.physd.2013.01.013

Froyland G; Huls T; Morriss GP; Watson TM, 2013, 'Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: A comparative numerical study', Physica D - Nonlinear Phenomena, 247, pp. 18 - 39, http://dx.doi.org/10.1016/j.physd.2012.12.005

Froyland G; Junge O; Koltai P, 2013, 'Estimating long-term behavior of flows without trajectory integration: The infinitesimal generator approach', SIAM Journal on Numerical Analysis, 51, pp. 223 - 247, http://dx.doi.org/10.1137/110819986

Walker D; Tordesillas A; Froyland G, 2013, 'Examining evolving structural networks using minimal cycle similarity networks: applications to stick-slip granular dynamics', Nonlinear Theory and Its Applications, IEICE, 4, pp. 148 - 159, http://dx.doi.org/10.1587/nolta.4.148

Froyland G; Stancevic O, 2013, 'Metastability, Lyapunov exponents, escape rates, and topological entropy in random dynamical systems', Stochastics and Dynamics, 13, pp. 1350004(26pp), http://dx.doi.org/10.1142/S0219493713500044

Boland N; Bley A; Fricke C; Froyland G; Sotirov R, 2012, 'Clique-based facets for the precedence constrained knapsack problem', Mathematical Programming, 133, pp. 481 - 511, http://dx.doi.org/10.1007/s10107-010-0438-7

Froyland G; Padberg-Gehle K, 2012, 'Finite-time entropy: A probabilistic approach for measuring nonlinear stretching', Physica D - Nonlinear Phenomena, 241, pp. 1612 - 1628, http://dx.doi.org/10.1016/j.physd.2012.06.010

Van Sebille E; England MH; Froyland G, 2012, 'Origin, dynamics and evolution of ocean garbage patches from observed surface drifters', Environmental Research Letters, 7, pp. Article number044040, http://dx.doi.org/10.1088/1748-9326/7/4/044040

Dunbar M; Froyland G; Wu C, 2012, 'Robust airline schedule planning: Minimizing propagated delay in an integrated routing and crewing framework', Transportation Science, 46, pp. 204 - 216

Froyland G; Horenkamp C; Rossi V; Santitissadeekorn N; Sen Gupta AR, 2012, 'Three-dimensional characterization and tracking of an Agulhas Ring', Ocean Modelling, 52-53, pp. 69 - 75, http://dx.doi.org/10.1016/j.ocemod.2012.05.001

Tordesillas A; Walker DM; Froyland G; Zhang J; Behringer RP, 2012, 'Transition dynamics and magic-number-like behavior of frictional granular cluster', Physical Review E, 83, pp. 011306 (11pp), http://dx.doi.org/10.1103/PhysRevE.86.011306

Froyland G; Murray R; Stancevic O, 2011, 'Spectral degeneracy and escape dynamics for intermittent maps with a hole', Nonlinearity, 24, pp. 2435 - 2463, http://dx.doi.org/10.1088/0951-7715/24/9/003

Bley A; Boland N; Fricke C; Froyland G, 2010, 'A strengthened formulation and cutting planes for the open pit mine production scheduling problem', Computers and Operations Research, 37, pp. 1641 - 1647, http://dx.doi.org/10.1016/j.cor.2009.12.008

Froyland G; Lloyd S; Santitissadeekorn N, 2010, 'Coherent sets for nonautonomous dynamical systems', Physica D - Nonlinear Phenomena, 239, pp. 1527 - 1541, http://dx.doi.org/10.1016/j.physd.2010.03.009

Froyland G; Lloyd S; Quas A, 2010, 'Coherent structures and isolated spectrum for Perron-Froebenius cocycles', Ergodic Theory and Dynamical Systems, 30, pp. 729 - 756, http://dx.doi.org/10.1017/s0143385709000339

Froyland G; Stancevic O, 2010, 'Escape rates and Perron-Frobenius operators: Open and closed dynamical systems', Discrete and Continuous Dynamical Systems - Series B, 14, pp. 457 - 472, http://dx.doi.org/10.3934/dcdsb.2010.14.457

Froyland G; Santitissadeekorn N; Monahan A, 2010, 'Optimally coherent sets in geophysical flows: A new approach to delimiting the stratospheric polar vortex', Physical Review E, 82, http://dx.doi.org/10.1103/PhysRevE.82.056311

Froyland G; Santitissadeekorn N; Monahan A, 2010, 'Transport in time-dependent dynamical systems: Finite-time coherent sets', Chaos, 20

Froyland G; Padberg K, 2009, 'Almost-invariant sets and invariant manifolds - Connecting probabilistic and geometric descriptions of coherent structures in flows', Physica D - Nonlinear Phenomena, 238, pp. 1507 - 1523

Boland N; Dumitrescu I; Froyland G; Gleixner AM, 2009, 'LP-based disaggregation approaches to solving the open pit mining production scheduling problem with block processing selectivity', Computers and Operations Research, 36, pp. 1064 - 1089

Dellnitz M; Froyland G; Horenkamp ; Padberg K, 2009, 'On the approximation of transport phenomena - a dynamical systems approach', Gamm-Mitteilungen, 32, pp. 47 - 60, http://dx.doi.org/10.1002/gamm.200910004

Weatherburn D; Froyland G; Moffatt S; Corben S, 2009, 'Prison populations and correctional outlays: The effect of reducing re-imprisonment', Crime and Justice Bulletin, 138, pp. 10pages

Weatherburn D; Froyland G; Moffat S; Corben S, 2009, 'Prison populations and correctional outlays: The effect of reducing re-imprisonment', Crime and Justice Bulletin, pp. 1 - 10, http://www.bocsar.nsw.gov.au/lawlink/bocsar/ll_bocsar.nsf/vwFiles/CJB138.pdf/$file/CJB138.pdf

Dellnitz M; Froyland G; Horenkamp C; Padberg-Gehle K; Sen Gupta AR, 2009, 'Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators', Nonlinear Processes in Geophysics, 16, pp. 655 - 663

Froyland G; Koch T; Megow N; Duane E; Wren H, 2008, 'Optimizing the landside operations of a container terminal', OR Spectrum, 30, pp. 53 - 75

Terhesiu DE; Froyland G, 2008, 'Rigorous numerical approximation of Ruelle-Perron-Frobenius operators and topological pressure of expanding maps', Nonlinearity, 21, pp. 1953 - 1966

Froyland G, 2008, 'Unwrapping eigenfunctions to discover the geometry of almost-invariant sets in hyperbolic maps', Physica D - Nonlinear Phenomena, 237, pp. 840 - 853, http://dx.doi.org/10.1016/j.physd.2007.11.004

Stone P; Froyland G; Menabde M; Law B; Pasyar R; Monkhouse PHL, 2007, 'Blasor - blended iron ore mine planning optimisation at Yandi, Western Australia', Australasian Institute of Mining and Metallurgy Publication Series, pp. 133 - 136

Menabde M; Froyland G; Stone P; Yeates GA, 2007, 'Mining schedule optimisation for conditionally simulated orebodies', Australasian Institute of Mining and Metallurgy Publication Series, pp. 379 - 383

Froyland G, 2007, 'On ulam approximation of the isolated spectrum and eigenfunctions of hyperbolic maps', Discrete and Continuous Dynamical Systems, 17, pp. 671 - 689, http://dx.doi.org/10.3934/dcds.2007.17.671

Froyland G; Padberg K; England MH; Treguier A, 2007, 'Detection of coherent oceanic structures via transfer operators', Physical Review Letters, 98, pp. 2224503

Froyland G; Murray R; Terhesiu DE, 2007, 'Efficient computation of topological entropy, pressure, conformal measures, and equilibrium states in one dimension', Physical Review E, 76, pp. 036702

Froyland G, 2007, 'On Ulam approximation of the isolated spectrum and eignfunctions of hyperbolic maps', Discrete and Continuous Dynamical Systems, 17, pp. 203 - 221

Froyland G, 2005, 'Statistically optimal almost-invariant sets', Physica D - Nonlinear Phenomena, 200, pp. 205 - 219, http://www.sciencedirect.com/science/article/B6TVK-4F6MDHB-1/2/d99248c5767fff9ce4fb6abfc3c7adcd

Walker DM; Froyland G; Judd K; Mees AI, 2003, 'Controllers for nonlinear systems using normal forms', International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 13, pp. 459 - 465, http://dx.doi.org/10.1142/S0218127403006637

Froyland G; Dellnitz M, 2003, 'Detecting and locating near-optimal almost-invariant sets and cycles', SIAM Journal on Scientific Computing, 24, pp. 1839 - 1863, http://dx.doi.org/10.1137/S106482750238911X

Froyland G; Junge O; Ochs G, 2001, 'Rigorous computation of topological entropy with respect to a finite partition', Physica D: Nonlinear Phenomena, 154, pp. 68 - 84, http://dx.doi.org/10.1016/S0167-2789(01)00216-0

Froyland G; Aihara K, 2001, 'Estimating statistics of neuronal dynamics via Markov chains', Biological Cybernetics, 84, pp. 31 - 40, http://dx.doi.org/10.1007/PL00007979

Dellnitz M; Froyland G; Sertl S, 2000, 'On the isolated spectrum of the Perron-Frobenius operator', Nonlinearity, 13, pp. 1171 - 1188, http://dx.doi.org/10.1088/0951-7715/13/4/310

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