References
- Broomhead , DS , Huke , JP , Muldoon , MR and Stark , J . 2004 . Iterated function system models of digital channels . Proc. Royal Soc. Lond. A , 460 : 3123 – 3142 .
- Stark , J , Broomhead , DS , Davies , ME and Huke , JP . 2003 . Delay embedding for forced systems: II, stochastic forcing . J. Nonlinear Sci. , 13 : 519 – 577 .
- Thomson , W . 1855 . On the theory of the electric telegraph . Proc. R. Soc. , 7 : 382 – 399 .
- Tuckwell , HC . 1988 . “ Introduction to Theoretical Neurobiology ” . In Vol. 1: Linear Cable Theory and Dendritic Structure , Cambridge : Cambridge University Press .
- Dayan , P and Abbott , LF . 2001 . Theoretical Neuroscience , Cambridge MA : MIT Press .
- Johnson , WC . 1963 . Transmission Lines and Networks , Singapore : McGraw-Hill .
- Belleni-Morante , A . 1979 . Applied Semigroups and Evolution Equations , Oxford : Oxford University Press .
- Pazy , A . 1983 . Semigroups of Linear Operators and Applications to Partial Differential Equations , New York : Springer .
- Walker , JA . 1980 . Dynamical Systems and Evolution Equations , New York : Plenum Press .
- Hutchinson , JE . 1981 . Fractals and self-similarity . Indiana Math. J. , 30 : 713 – 747 .
- Barnsley , M . 1988 . Fractals Everywhere , San Diego : Academic Press .
- Falconer , K . 1990 . Fractal Geometry: Mathematical Foundations and Applications , New York : Wiley & Sons .
- Barnsley , MF and Harrington , AN . 1985 . A Mandelbrot set for pairs of linear maps . Physica D , 15D : 421 – 432 .
- Falconer , KJ . 1988 . The Hausdorff dimension of self-affine fractals . Math. Proc. Camb. Philos. Soc. , 103 : 339 – 350 .
- Solomyak , B . 1998 . Measure and dimension for some fractal families . Math. Proc. Camb. Philos. Soc. , 124 : 531 – 546 .
- Wegmann , H . 1971 . Die Hausdorff-Dimension von kartesischen Produkten metrischer Räume . J. Reine Angew. Math. , 1971 : 46 – 75 .
- Kantz , H and Schreiber , T . 1997 . Nonlinear Time Series Analysis , Cambridge : Cambridge University Press .
- Aeyels , D . 1981 . Generic observability of differentiable systems . SIAM J. Control Optim. , 19 : 595 – 603 .
- Takens , F . 1981 . “ Detecting strange attractors in turbulence ” . In Dynamical Systems and Turbulence , Edited by: Rand , DA and Young , L-S . 366 – 381 . Berlin : Springer Lecture Notes in Mathematics, Vol. 898, Springer-Verlag .
- Sauer , T , Yorke , JA and Casdagli , M . 1991 . Embedology . J. Stat. Phys. , 65 : 579 – 616 .
- Robinson , JC . 2005 . A topological delay embedding theorem for infinite-dimensional dynamical systems . Nonlinearity , 18 : 2135 – 2143 .
- Hunt , BR and Kaloshin , VY . 1999 . Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces . Nonlinearity , 12 : 1263 – 1275 .