By Scientia Professor Gary Froyland

Journal articles

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

Froyland G; Aihara K, 2000, 'Rigorous numerical estimation of Lyapunov exponents and invariant measures of iterated function systems and random matrix products', International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 10, pp. 103 - 122, http://dx.doi.org/10.1142/S0218127400000062

Froyland G, 1999, 'Ulam's method for random interval maps', Nonlinearity, 12, pp. 1029 - 1052, http://dx.doi.org/10.1088/0951-7715/12/4/318

Froyland G, 1999, 'Using Ulam's method to calculate entropy and other dynamical invariants', Nonlinearity, 12, pp. 79 - 101, http://dx.doi.org/10.1088/0951-7715/12/1/006

Froyland G, 1998, 'Approximating physical invariant measures of mixing dynamical systems in higher dimensions', Nonlinear Analysis, Theory, Methods and Applications, 32, pp. 831 - 860, http://dx.doi.org/10.1016/S0362-546X(97)00527-0

Cao L; Mees A; Judd K; Froyland G, 1998, 'Determining the minimum embedding dimensions of input-output time series data', International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 8, pp. 1491 - 1504, http://dx.doi.org/10.1142/S0218127498001145

Froyland G, 1997, 'Estimating physical invariant measures and space averages of dynamical systems indicators', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 56, pp. 157 - 159, http://dx.doi.org/10.1017/S0004972700030823

Froyland G, 1997, 'Computer-assisted bounds for the rate of decay of correlations', Communications in Mathematical Physics, 189, pp. 237 - 257, http://dx.doi.org/10.1007/s002200050198

Froyland G, 1997, 'Estimating physical invariant measures and space averages of dynamical systems indicators', Bulletin of the Australian Mathematical Society, 56, pp. 157 - 159, http://dx.doi.org/10.1017/s0004972700030823

Froyland G, 1995, 'Finite approximation of Sinai-Bowen-Ruelle measures for Anosov systems in two dimensions', Random & Computational Dynamics, 3, pp. 251 - 264

FROYLAND G; JUDD K; MEES AI; WATSON D; MURAO K, 1995, 'CONSTRUCTING INVARIANT-MEASURES FROM DATA', INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 5, pp. 1181 - 1192, http://dx.doi.org/10.1142/S0218127495000843

Froyland G; Judd K; Mees AI, 1995, 'Estimation of Lyapunov exponents of dynamical systems using a spatial average', Physical Review E, 51, pp. 2844 - 2855, http://dx.doi.org/10.1103/PhysRevE.51.2844

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