## References and models cited by this paper | ## References and models that cite this paper | |||||

Beer RD (1995) On the dynamics of small continuous-time recurrent neural networks Beer RD (2005) Electronic supplement to Parameter space structure of continuous-time recurrent neural networks Beer RD, Chiel HJ, Gallagher JC (2006) Evolution and analysis of model CPGs for walking: II. General principles and individual variability. Beer RD, Gallagher JC (1992) Evolving dynamical neural networks for adaptive behavior Blum EK, Wang X (1992) Stability of fixed points and periodic orbits and bifurcations in analog neural networks Borisyuk RM, Kirillov AB (1992) Bifurcation analysis of a neural network model. Chiel HJ, Beer RD, Gallagher JC (2006) Evolution and analysis of model CPGs for walking: I. Dynamical modules. Chow TWS, Li XD (2000) Modeling of continuous time dynamical systems with input by recurrent neural networks. Cohen M, Grossberg S (1983) Absolute stability of global pattern formation and parallel memory storage by competitive neural network. Cowan JD, Ermentrout GB (1978) Some aspects of the eigenbehavior of neural nets de Jong H (2002) Modeling and simulation of genetic regulatory systems: a literature review. Dunn NA, Lockery SR, Pierce-Shimomura JT, Conery JS (2004) A neural network model of chemotaxis predicts functions of synaptic connections in the nematode Caenorhabditis elegans. Edwards R (2000) Analysis of continuous-time switching networks Ermentrout B (1995) Phase-plane analysis of neural activity Ermentrout B (1998) Neural nets as spatio-temporal pattern forming systems Funahashi K, Nakamura Y (1993) Approximation of dynamical systems by continuous time recurrent neural networks Getting PA (1989) Emerging principles governing the operation of neural networks. Ghigliazza RM, Holmes P (2004) Minimal models of bursting neurons: How multiple currents, conductances and time scales affect bifurcation diagrams Goldman MS, Golowasch J, Marder E, Abbott LF (2001) Global structure, robustness, and modulation of neuronal models.
Golowasch J, Goldman MS, Abbott LF, Marder E (2002) Failure of averaging in the construction of a conductance-based neuron model. Grossberg S (1988) Nonlinear neural networks: Principles, mechanisms, and architectures Guckenheimer J, Myers M, Sturmfels B (1997) Computing Hopf bifurcations I Harvey I, Husbands P, Cliff D, Thompson A, Jacobi N (1997) Evolutionary robotics: The Sussex approach Haschke R (2004) Bifurcations in discrete-time neural networks: Controlling complex network behavior with inputs Haschke R, Steil JJ (2005) Input space bifurcation manifolds of recurrent neural networks Hirsch MW (1989) Convergent activation dynamics in continuous time networks Hopfield JJ (1984) Neurons with graded response have collective computational properties like those of two-state neurons. Hoppensteadt FC, Izhikevich EM (1997) Izquierdo-Torres E (2004) Evolving dynamical systems: Nearly neutral regions in continuous fitness landscapes Kimura M, Nakano R (1998) Learning dynamical systems by recurrent neural networks from orbits. Kuznetsov Y (1998) Lewis J, Glass L (1992) Nonlinear dynamics and symbolic dynamics of neural networks Marder E, Abbott LF (1995) Theory in motion. Marder E, Calabrese RL (1996) Principles of rhythmic motor pattern generation. Mathayomchan B, Beer RD (2002) Center-crossing recurrent neural networks for the evolution of rhythmic behavior. Nolfi S, Floreano D (2000) Pasemann F (2002) Complex dynamics and the structure of small neural networks. Prinz AA, Billimoria CP, Marder E (2003) Alternative to hand-tuning conductance-based models: construction and analysis of databases of model neurons. Prinz AA, Bucher D, Marder E (2004) Similar network activity from disparate circuit parameters.
Psujek S, Ames J, Beer RD (2006) Connection and coordination: the interplay between architecture and dynamics in evolved model pattern generators. Rinzel J, Ermentrout B (1998) Analysis of neural excitability and oscillations. Rowat PF, Selverston AI (1997) Oscillatory mechanisms in pairs of neurons connected with fast inhibitory synapses. Selverston AI (1980) Are central pattern generators understandable? Seys CW, Beer RD (2004) Evolving walking: The anatomy of an evolutionary search Sompolinsky H, Crisanti A, Sommers HJ (1988) Chaos in random neural networks. Thomas R, Kaufman M (2001) Multistationarity, the basis of cell differentiation and memory. II. Logical analysis of regulatory networks in terms of feedback circuits. Tino P, Horne BG, Giles CL (2001) Attractive periodic sets in discrete-time recurrent networks (with emphasis on fixed-point stability and bifurcations in two-neuron networks). Turrigiano G, Abbott LF, Marder E (1994) Activity-dependent changes in the intrinsic properties of cultured neurons. Williams H, Noble J (2007) Homeostatic plasticity improves signal propagation in continuous-time recurrent neural networks. Wolfram S (2003) Zhaojue Z, Schieve WC, Das PK (1993) Two neuron dynamics and adiabatic elimination |