Publications (cont’d.)
Dynamical Systems
Deissler, R. J., and J. D. Farmer. "Deterministic Noise Amplifiers." Physica D 55 (1992): 155-165. PDF
Dressler, U., and J. D. Farmer. "Generalized Lyapunov Exponents Corresponding to Higher Order Derivatives." Physica D 59 (1992): 365-377. PDF
Gibson, J., J. D. Farmer, M. Casdagli, and S. Eubank. "An Analytic Approach to Practical State Space Reconstruction." Physica D 57 (1992): 1-30. PDF
Theiler, J., B. Galdrikian., A. Longtin, S. Eubank, and J. D. Farmer. "Detecting Nonlinear Structure in Time Series." Physica D 58 (1992): 77-94. PDF
Farmer, J. D., and J. J. Sidorowich. "Optimal Shadowing and Noise Reduction." Physica D 47 (1991): 373-392. PDF
Casdagli, M., S. Eubank, J. D. Farmer, and J. Gibson. "State Space Reconstruction in the Presence of Noise." Physica D 41 (1991): 52-98.  PDF
Farmer, J. D., and A. d’A. Belin.  “Artificial Life:  The Coming Evolution.”  In Artificial Life II, 815-840.  Edited by C. G. Langton, C. Taylor, J. D. Farmer, and S. Rasmussen.  Reading, CA:  Addison-Wesley, 1991.  PDF
Eubank, S., M. Casdagli, J. D. Farmer, and J. Gibson. "State Space Forecasting and Noise Reduction." In Proceedings of the 29th IEEE Conference on Decision and Control p. 641 (1990) . PDF
Ecke, R. E., J. D. Farmer, and D. K. Umberger. "Scaling of Arnold Tongues." Nonlinearity 2 (1989): 175-196. PDF
Farmer, J. D., and J. J. Sidorowich. "Predicting Chaotic Time Series." Phys. Rev. Lett. 59(8) (1987): 845-848. PDF
Bagley, R. J., J. D. Farmer and G. Mayer-Kress. "Mode Locking, The Belousov-Zhabotinsky Reaction, and One-Dimensional Mappings." Phys. Lett. A 114(8) (1986): 419-423. PDF
Crutchfield, J. P., J. D. Farmer, N. H. Packard, and R. S. Shaw. "Chaos." Sci. Am. 254(12) (1986): 46-57.   PDF
Farmer, J. D., I. I. Satija, and D. K. Umberger. "A Universal Strange Attractor Underlying the Quasiperiodic Transition to Chaos." Phys. Lett. A 114(7) (1986): 341-345.
Farmer, J. D., S. Kauffman, and N. H. Packard. "Autocatalytic Replication of Polymers." Physica D  22(1-3) (1986): 50-67. PDF
Campbell, D., J. Crutchfield, J. D. Farmer, and E. Jen. "Experimental Mathematics: The Role of Computation in Nonlinear Studies." Communications of ACM 28(4) (1985): 374-384. PDF
Farmer, J. D., and I. I. Satija. "Renormalization of the Quasiperiodic Transition to Chaos for Arbitrary Winding Numbers." Phys. Rev. A 31(5) (1985): 3520-3522. PDF
Farmer, J. D. "Sensitive Dependence on Parameters in Nonlinear Dynamics." Phys. Rev. Lett. 55(4) (1985): 351-355. PDF
Umberger, D. K., and J. D. Farmer. "Fat Fractals on the Energy Surface." Phys. Rev. Lett. 55(7) (1985): 661-664. PDF
Brandstater, A., J. Swift, H. L. Swinney, A. Wolf, J. D. Farmer, E. Jen, and J. P. Crutchfield. "Low Dimensional Chaos in a Hydrodynamic System." Phys. Rev. Lett. 51(16) (1983): 1442-1445. PDF
Farmer, J. D., E. Ott, and J. A. Yorke. "The Dimension of Chaotic Attractors." Physica D 7 (1983): 153-180. PDF
Farmer, J. D. "Sensitive Dependence to Noise without Sensitive Dependence to Initial Conditions." Los Alamos Technical Report LA-UR-83-1450. PDF
Farmer, J. D. "Information Dimension and the Probabilistic Structure of Chaos." Z. Naturforsch 37A (1982): 1304-1325.  PDF
Farmer, J. D., J. Hart, and P. Weidman. "A Phase Space Analysis of Baroclinic Flow." Phys. Lett. A 91(1) (1982): 22-24. PDF
Crutchfield, J., J. D. Farmer, and B. Huberman. "Fluctuations and Chaotic Dynamics." Physics Reports 92(2) (1982): 47-82. PDF
Farmer, J. D. "Chaotic Attractors of an Infinite-Dimensional Dynamical System." Physica D 4 (1982): 366-393.   PDF
Froehling, H., J. P. Crutchfield, J. D. Farmer, N. H. Packard, and R. Shaw. "On Determining the Dimension of Chaotic Flows." Physica D 3 (1981): 605-617.  PDF
Farmer, J. D., J. Crutchfield, H. Froehling, N. Packard, and R. Shaw. "Power Spectra and Mixing Properties of Strange Attractors." Ann NY Acad. Sci. 375 (1980): 453-472.
Crutchfield, J., J. D. Farmer, N. Packard, R. Shaw, G. Jones, and R. Donnelly. "Power Spectral Analysis of a Dynamical System." Phys. Lett. A 76 (1980): 1.  PDF
Farmer, J. D. "Spectral Broadening of Period-Doubling Bifurcation Sequences." Phys. Rev. Lett. 47(3) (1980): 179-182.  PDF
Packard, N. H., J. P. Crutchfield, J. D. Farmer, and R. S. Shaw. "Geometry from a Time Series." Phys. Rev. Lett. 45(9) (1980): 712-716.  PDF