Items where Subject is "Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > PURE MATHEMATICS (010100) > Ordinary Differential Equations Difference Equations and Dynamical Systems (010109)"
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Number of items at this level: 48.
Anh, Vo, Wanliss, James, Watson, Stephen, & Yu, Zu-Guo (2006) Chaos Game Representation of The Dst Index and Prediction of Geomagnetic Storm Events. Chaos, Solitons & Fractals, 31(3), pp. 736-746.
Anh, Vo V. & McVinish, Ross S. (2003) Completely Monotone Property of Fractional Green Functions. Fractional Calculus and Applied Analysis, 6(2), pp. 157-173.
Cai, Xin & Liu, Fawang (2007) Numerical simulation of the fractional-order control system. Journal of Applied Mathematics and Computing, 23(1-2), pp. 229-241.
Chen, Chang-Ming, Liu, Fawang, Turner, Ian W., & Anh, Vo V. (2007) A Fourier method for the fractional diffusion equation describing sub-diffusion. Journal of Computational Physics, 227(2), pp. 886-897.
Chen, Chang-ming, Liu, Fawang, & Burrage, Kevin (2008) Finite difference methods and a fourier analysis for the fractional reaction–subdiffusion equation. Applied Mathematics and Computation, 198(2), pp. 754-769.
Chen, Chang-ming, Liu, Fawang, Turner, Ian, & Anh, Vo (2007) Implicit Difference Approximation of the Galilei Invariant Fractional Advection Diffusion Equation. ANZIAM Journal, 48(Supp), pp. 775-789.
Chen, Jing & Liu, Fawang (2007) Stability and Convergence of an Implicit Difference Approximation for the Space Riesz Fractional Reaction-Dispersion Equation. Numerical Mathematics: Theory, Methods and Applications (NM-TMA), 16(3), pp. 253-264.
Chen, Jing, Liu, Fawang, & Anh, Vo (2008) Analytical Solution for the Time-Fractional Telegraph Equation by the Method of Separating Variables. Journal of Mathematical Analysis and Applications, 338(2), pp. 1364-1377.
Chen, S., Liu, Fawang, Zhuang, Pinghui, & Anh, Vo V. (2008) Finite difference approximations for the fractional Fokker–Planck equation. Applied Mathematical Modelling, In Press.
Chirilus-Bruckner, Martina, Doelman, Arjen, van Heijster, Peter, & Rademacher, Jens D.M. (2015) Butterfly catastrophe for fronts in a three-component reaction–diffusion system. Journal of Nonlinear Science, 25(1), pp. 87-129.
Huang, F & Liu, Fawang (2005) The Time Fractional Diffusion Equation and the Advection-Dispersion Equation. The A N Z I A M Journal, 46, pp. 317-330.
Huang, Fenghui & Liu, Fawang (2005) The Fundamental Solution of the Space-Time Fractional Advection-Dispersion Equation. Journal of Applied Mathematics and Computing: International Journal, 18(1), pp. 339-350.
Huang, Fenghui & Liu, Fawang (2005) The Space-Time Fractional Diffusion Equation with Caputo Derivatives. Journal of Applied Mathematics and Computing: International Journal, 19(1), pp. 179-190.
Lin, R & Liu, Fawang (2007) Fractional High Order Methods For The Nonlinear Fractional Ordinary Differential Equation. Nonlinear Analysis, 66(4), pp. 856-869.
Lin, Tian Ran (2012) An analytical and experimental study of the vibration response of a clamped ribbed plate. Journal of Sound and Vibration, 331(4), pp. 902-913.
Lin, Tian Ran (2008) A study of modal characteristics and the control mechanism of finite periodic and irregular ribbed plates. The Journal of the Acoustical Society of America, 123(2), pp. 729-737.
Lin, Tian Ran & Pan, Jie (2006) A closed form solution for the dynamic response of finite ribbed plates. The Journal of the Acoustical Society of America, 119(2), pp. 917-925.
Liu, Fawang, Shen, Shujun, Anh, Vo, & Turner, Ian (2005) Analysis of a discrete non-Markovian random walk approximation for the time fractional diffusion equation. The ANZIAM Journal, 46, C488-C504.
Mallet, Daniel G. (2008) Asynchronous online collaboration as a flexible learning activity and an authentic assessment method in an undergraduate mathematics course. EURASIA, 4(2), pp. 143-151.
Mallet, Daniel G. & McCue, Scott W. (2009) Constructive development of the solutions of linear equations in introductory ordinary differential equations. International Journal of Mathematical Education in Science and Technology, 40(5), pp. 587-595.
Shen, Shujun, Liu, Fawang, Anh, Vo, & Turner, Ian (2006) Detailed analysis of a conservative difference approximation for the time fractional diffusion equation. Journal of Applied Mathematics and Computing, 22(3), pp. 1-19.
Su, Ninghu, Sander, G.C., Liu, Fawang, Anh, Vo, & Barry, D.A. (2005) Similarity solutions for solute transport in fractal porous media using a time- and scale-dependent dispersivity. Applied Mathematical Modelling, 29(9), pp. 852-870.
Tian, Yu-Chu & Gao, Furong (1997) Extraction of delay information from chaotic time series based on information entropy. Physica D: Nonlinear Phenomena, 108(1-2), pp. 113-118.
Tian, Yu-Chu, Yu, Zu-Guo, & Fidge, Colin J. (2007) Multifractal nature of network induced time delay in networked control systems. Physics Letters. Section A: General, Atomic and Solid State Physics, 361(1-2), pp. 103-107.
Yao, Hongmei, Tian, Yu-Chu, & Tade, Moses O. (2008) Using wavelets for solving SMB separation process models. Industrial and Engineering Chemistry Research, 47(15), pp. 5585-5593.
Yin, Cui-Ying, Liu, Fawang, & Anh, Vo V. (2007) Numerical simulation of the nonlinear fractional dynamical systems with fractional damping for the extensible and inextensible pendulum. Journal of Algorithms & Computational Technology, 1(4), pp. 427-447.
Yu, Q, Liu, Fawang, Anh, Vo, & Turner, Ian (2008) Solving linear and non-linear space-time fractional reaction-diffusion equations by the adomian decomposition method. International Journal for Numerical Methods in Engineering, 74(1), pp. 138-158.
Yu, Zu-Guo, Anh, Vo V., & Lau, Ka-Sing (2001) Measure representation and multifractal analysis of complete genomes. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 64(3), 031903.
Yu, Zu-Guo, Anh, Vo V., & Lau, Ka-Sing (2003) Multifractal and correlation analyses of protein sequences from complete genomes. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 68(2), 021913-1.
Zang, Hong, Zhang, Tonghua, Tian, Yu-Chu, & Tade, Moses O. (2008) Limit cycles for the Kukles system. Journal of Dynamical and Control Systems, 14(2), pp. 283-298.
Zhang, Hongmei & Liu, Fawang (2007) The Fundamental Solutions of the Space, Space-Time Riesz Fractional Partial Differential Equations with Periodic Conditions. Numerical Mathematics: Theory, Methods and Applications (NM-TMA), 16(2), pp. 181-192.
Zhang, Tonghua, Tade, Moses O., & Tian, Yu-Chu (2007) Linear estimate of the number of limit cycles for a class of non-linear systems. Chaos, Solitons and Fractals, 31(4), pp. 804-810.
Zhang, Tonghua, Tade, Moses O., Tian, Yu-Chu, & Zang, Hong (2008) High-resolution method for numerically solving PDEs in process engineering. Computers and Chemical Engineering, 32(10), pp. 2403-2408.
Zhang, Tonghua, Tian, Yu-Chu, & Tade, Moses O. (2007) On the Number of Zeros of the Abelian Intergrals for a Class of Perturbed Lienard Systems. International Journal of Bifurcation and Chaos, 17(9), pp. 3281-3287.
Zhang, Tonghua, Tian, Yu-Chu, & Tade, Moses O. (2008) Wavelet-based collocation method for stiff systems in process engineering. Journal of Mathematical Chemistry, 44(2), pp. 501-513.
Zhang, Tonghua, Tian, Yu-Chu, Tade, Moses O., & Utomo, Johan (2007) Comments on "The computation of wavelet-Galerkin approximation on a bounded interval". International Journal for Numerical Methods in Engineering, 72, pp. 244-251.
Zhou, Yu, Yu, Zu-Guo, & Anh, Vo V. (2007) Cluster protein structures using recurrence quantification analysis on coordinates of alpha-carbon atoms of proteins. Physics Letters. Section A: General, Atomic and Solid State Physics, 368(3/4), pp. 314-319.
Zhuang, Pinghui & Liu, Fawang (2007) Finite difference approximation for two-dimensional time fractional diffusion equation. Journal of Algorithms & Computational Technology, 1(1), pp. 1-15.
Zhuang, Pinghui & Liu, Fawang (2006) Implicit difference approximation for the time fractional diffusion equation. Journal of Applied Mathematics and Computing, 22(3), pp. 87-99.
Zhuang, Pinghui & Liu, Fawang (2007) Implicit difference approximation for the two-dimensional space-time fractional diffusion equation. Journal of Applied Mathematics and Computing, 25(1-2), pp. 269-282.
Zhuang, Pinghui, Liu, Fawang, Anh, Vo, & Turner, Ian (2007) Numerical Treatment For The Fractional Fokker-Planck Equation. ANZIAM Journal, 48(Supp), pp. 759-774.
van Heijster, Peter & Sandstede, Björn (2014) Bifurcations to travelling planar spots in a three-component FitzHugh-Nagumo system. Physica D : Nonlinear Phenomena, 275, pp. 19-34.
Campbell, Alexander B., Pham, Binh L., & Tian, Yu-Chu (2005) Delay-Embedding Approach to Multi-Agent System Construction and Calibration. In Zerger, A. & Argent, R.M. (Eds.) MODSIM 2005 International Congress on Modelling and Simulation. Modelling and Simulation Society of Australia and New Zealand, 12-15 December 2005, University of Melbourne, Australia.
Campbell, Alexander B., Pham, Binh L., & Tian, Yu-Chu (2006) A framework for spatio-temporal data analysis and hypothesis exploration. In Voinov, Alexey, Jakeman, Anthony, & Rizzoli, Andrea (Eds.) iEMSs Third Biennial Meeting, "Summit on Environmental Modelling and Software", 9-13 July 2006, Burlington, USA.
Ford, Jason J. & Dower, Peter M. (2004) Optimal stopping and hard terminal constraints applied to a missile guidance problem. In 2004 Asian Control Conference, July 2004, Melbourne.
Salim, Flora, Loke, Seng Wai, Rakotonirainy, Andry, & Krishnaswamy, Shonali (2007) U & I aware: A framework using data mining and collision detection to increase awareness for intersection users. In 21st International Conference on Advanced Information Networking and Applications Workshopes, 21-23 May 2007, Niagara Falls, Canada.
Shen, Shujun & Liu, Fawang (2005) Error analysis of an explicit finite difference approximation for the space fractional diffusion equation with insulated ends. In May, R. (Ed.) Proceedings of the 2004 International Conference on Computational Techniques and Applicaitons, Australian Mathematical Society, Melbourne, Victoria, pp. 872-887.
Lin, Tian Ran, O'Shea, Peter J., & Mechefske, Chris K. (2008) Modal Sound Radiation from Finite Cylindrical Shells. In 16th International Society for Magnetic Resonance in Medicine, 3-9, May 2008, Toronto, Canada.