Stimulus ========= This module provides convenient functions for synthesizing timeseries used as the input to the network. .. automodule:: hetero.stimulus Elementary Functions ==================== .. automodule:: hetero.stims.elem_funcs Maps ==== .. note:: This section is directly reproduced from the ReservoirPy (https://github.com/reservoirpy/reservoirpy) package, with some adaptation for cross-modular compatibility. .. automodule:: hetero.stims.maps Processes ========= .. note:: This section is directly reproduced from the ReservoirPy (https://github.com/reservoirpy/reservoirpy) package, with some adaptation for cross-modular compatibility. .. automodule:: hetero.stims.processes References ---------- .. [2] M. Hénon, ‘A two-dimensional mapping with a strange attractor’, Comm. Math. Phys., vol. 50, no. 1, pp. 69–77, 1976. .. [3] `Hénon map `_ on Wikipédia .. [4] R. M. May, ‘Simple mathematical models with very complicated dynamics’, Nature, vol. 261, no. 5560, Art. no. 5560, Jun. 1976, doi: 10.1038/261459a0. .. [5] `Logistic map `_ on Wikipédia .. [6] E. N. Lorenz, ‘Deterministic Nonperiodic Flow’, Journal of the Atmospheric Sciences, vol. 20, no. 2, pp. 130–141, Mar. 1963, doi: 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2. .. [7] `Lorenz system `_ on Wikipedia. .. [8] M. C. Mackey and L. Glass, ‘Oscillation and chaos in physiological control systems’, Science, vol. 197, no. 4300, pp. 287–289, Jul. 1977, doi: 10.1126/science.267326. .. [9] `Mackey-Glass equations `_ on Wikipedia. .. [10] G. Chen and T. Ueta, ‘Yet another chaotic attractor’, Int. J. Bifurcation Chaos, vol. 09, no. 07, pp. 1465–1466, Jul. 1999, doi: 10.1142/S0218127499001024. .. [11] `Chen double scroll attractor `_ on Wikipedia. .. [12] M. I. Rabinovich and A. L. Fabrikant, ‘Stochastic self-modulation of waves in nonequilibrium media’, p. 8, 1979. .. [13] `Rabinovich-Fabrikant equations `_ on Wikipedia. .. [14] A. F. Atiya and A. G. Parlos, ‘New results on recurrent network training: unifying the algorithms and accelerating convergence,‘ in IEEE Transactions on Neural Networks, vol. 11, no. 3, pp. 697-709, May 2000, doi: 10.1109/72.846741. .. [15] B.Schrauwen, M. Wardermann, D. Verstraeten, J. Steil, D. Stroobandt, ‘Improving reservoirs using intrinsic plasticity‘, Neurocomputing, 71. 1159-1171, 2008, doi: 10.1016/j.neucom.2007.12.020. .. [17] Lorenz, E. N. (1996, September). Predictability: A problem partly solved. In Proc. Seminar on predictability (Vol. 1, No. 1). .. [18] O.E. Rössler, "An equation for continuous chaos", Physics Letters A, vol 57, Issue 5, Pages 397-398, ISSN 0375-9601, 1976, https://doi.org/10.1016/0375-9601(76)90101-8. .. [19] Kuramoto, Y. (1978). Diffusion-Induced Chaos in Reaction Systems. Progress of Theoretical Physics Supplement, 64, 346–367. https://doi.org/10.1143/PTPS.64.346 .. [20] Sivashinsky, G. I. (1977). Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations. Acta Astronautica, 4(11), 1177–1206. https://doi.org/10.1016/0094-5765(77)90096-0 .. [21] Sivashinsky, G. I. (1980). On Flame Propagation Under Conditions of Stoichiometry. SIAM Journal on Applied Mathematics, 39(1), 67–82. https://doi.org/10.1137/0139007 .. [22] Kassam, A. K., & Trefethen, L. N. (2005). Fourth-order time-stepping for stiff PDEs. SIAM Journal on Scientific Computing, 26(4), 1214-1233.