## Bibliografía de los capítulos 41 a 60

Adler, R. (1946). A study of locking phenomena in oscillators. *Proceedings of the IRE*, *34*(6), 351–357. https://doi.org/10.1109/JRPROC.1946.229930

Alligood, K. T., Sauer, T. D. y Yorke, J. A. (1996). *Chaos: An introduction to dynamical systems*. Springer. https://doi.org/10.1007/b97589

Arnold, V. I. (1989). *Mathematical methods of classical mechanics* (2.ª ed.). Springer. https://doi.org/10.1007/978-1-4757-2063-1

Auslander, J. y Yorke, J. A. (1980). Interval maps, factors of maps, and chaos. *Tohoku Mathematical Journal*, *32*(2), 177–188. https://doi.org/10.2748/tmj/1178229634

Balanov, A., Janson, N., Postnov, D. y Sosnovtseva, O. (2009). *Synchronization: From simple to complex*. Springer. https://doi.org/10.1007/978-3-540-72128-4

Banks, J., Brooks, J., Cairns, G., Davis, G. y Stacey, P. (1992). On Devaney's definition of chaos. *The American Mathematical Monthly*, *99*(4), 332–334. https://doi.org/10.1080/00029890.1992.11995856

Benettin, G., Galgani, L., Giorgilli, A. y Strelcyn, J.-M. (1980a). Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems: A method for computing all of them. Part 1: Theory. *Meccanica*, *15*(1), 9–20. https://doi.org/10.1007/BF02128236

Benettin, G., Galgani, L., Giorgilli, A. y Strelcyn, J.-M. (1980b). Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems: A method for computing all of them. Part 2: Numerical application. *Meccanica*, *15*(1), 21–30. https://doi.org/10.1007/BF02128237

Blanchard, F., Glasner, E., Kolyada, S. y Maass, A. (2002). On Li–Yorke pairs. *Journal für die reine und angewandte Mathematik*, *547*, 51–68. https://doi.org/10.1515/crll.2002.053

Boettiger, C. y Hastings, A. (2012). Quantifying limits to detection of early warning for critical transitions. *Journal of the Royal Society Interface*, *9*(75), 2527–2539. https://doi.org/10.1098/rsif.2012.0125

Corless, R. M., Gonnet, G. H., Hare, D. E. G., Jeffrey, D. J. y Knuth, D. E. (1996). On the Lambert W function. *Advances in Computational Mathematics*, *5*(1), 329–359. https://doi.org/10.1007/BF02124750

Crawford, J. D. (1991). Introduction to bifurcation theory. *Reviews of Modern Physics*, *63*(4), 991–1037. https://doi.org/10.1103/RevModPhys.63.991

Devaney, R. L. (1989). *An introduction to chaotic dynamical systems* (2.ª ed.). Addison-Wesley.

Devaney, R. L. (2003). *An introduction to chaotic dynamical systems* (2.ª ed.). Westview Press.

Eckmann, J.-P. y Ruelle, D. (1985). Ergodic theory of chaos and strange attractors. *Reviews of Modern Physics*, *57*(3), 617–656. https://doi.org/10.1103/RevModPhys.57.617

Erneux, T. (2009). *Applied delay differential equations*. Springer. https://doi.org/10.1007/978-0-387-74372-1

Feigenbaum, M. J. (1978). Quantitative universality for a class of nonlinear transformations. *Journal of Statistical Physics*, *19*(1), 25–52. https://doi.org/10.1007/BF01020332

Feigenbaum, M. J. (1979). The universal metric properties of nonlinear transformations. *Journal of Statistical Physics*, *21*(6), 669–706. https://doi.org/10.1007/BF01107909

Fenichel, N. (1979). Geometric singular perturbation theory for ordinary differential equations. *Journal of Differential Equations*, *31*(1), 53–98. https://doi.org/10.1016/0022-0396(79)90152-9

FitzHugh, R. (1961). Impulses and physiological states in theoretical models of nerve membrane. *Biophysical Journal*, *1*(6), 445–466. https://doi.org/10.1016/S0006-3495(61)86902-6

Goldberg, D. (1991). What every computer scientist should know about floating-point arithmetic. *ACM Computing Surveys*, *23*(1), 5–48. https://doi.org/10.1145/103162.103163

Grebogi, C., Ott, E. y Yorke, J. A. (1982). Chaotic attractors in crisis. *Physical Review Letters*, *48*(22), 1507–1510. https://doi.org/10.1103/PhysRevLett.48.1507

Grebogi, C., Ott, E. y Yorke, J. A. (1983). Crises, sudden changes in chaotic attractors, and transient chaos. *Physica D*, *7*(1–3), 181–200. https://doi.org/10.1016/0167-2789(83)90126-4

Guckenheimer, J. y Holmes, P. (1983). *Nonlinear oscillations, dynamical systems, and bifurcations of vector fields*. Springer. https://doi.org/10.1007/978-1-4612-1140-2

Hairer, E. y Wanner, G. (1996). *Solving ordinary differential equations II: Stiff and differential-algebraic problems* (2.ª ed. rev.). Springer. https://doi.org/10.1007/978-3-642-05221-7

Hairer, E., Nørsett, S. P. y Wanner, G. (1993). *Solving ordinary differential equations I: Nonstiff problems* (2.ª ed. rev.). Springer. https://doi.org/10.1007/978-3-540-78862-1

Hale, J. K. y Verduyn Lunel, S. M. (1993). *Introduction to functional differential equations*. Springer. https://doi.org/10.1007/978-1-4612-4342-7

Hammel, S. M., Yorke, J. A. y Grebogi, C. (1987). Do numerical orbits of chaotic dynamical processes represent true orbits? *Journal of Complexity*, *3*(2), 136–145. https://doi.org/10.1016/0885-064X(87)90024-0

Higham, N. J. (2002). *Accuracy and stability of numerical algorithms* (2.ª ed.). SIAM. https://doi.org/10.1137/1.9780898718027

Hutchinson, G. E. (1948). Circular causal systems in ecology. *Annals of the New York Academy of Sciences*, *50*(4), 221–246. https://doi.org/10.1111/j.1749-6632.1948.tb39854.x

Katok, A. y Hasselblatt, B. (1995). *Introduction to the modern theory of dynamical systems*. Cambridge University Press. https://doi.org/10.1017/CBO9780511809187

Kuehn, C. (2015). *Multiple time scale dynamics*. Springer. https://doi.org/10.1007/978-3-319-12316-5

Kuramoto, Y. (1984). *Chemical oscillations, waves, and turbulence*. Springer. https://doi.org/10.1007/978-3-642-69689-3

Kuznetsov, Y. A. (2023). *Elements of applied bifurcation theory* (4.ª ed.). Springer. https://doi.org/10.1007/978-3-031-22007-4

Lanford, O. E., III. (1982). A computer-assisted proof of the Feigenbaum conjectures. *Bulletin of the American Mathematical Society*, *6*(3), 427–434. https://doi.org/10.1090/S0273-0979-1982-15008-X

Li, T.-Y. y Yorke, J. A. (1975). Period three implies chaos. *The American Mathematical Monthly*, *82*(10), 985–992. https://doi.org/10.1080/00029890.1975.11994008

Lind, D. y Marcus, B. (2021). *An introduction to symbolic dynamics and coding* (2.ª ed.). Cambridge University Press. https://doi.org/10.1017/9781108899727

Lorenz, E. N. (1963). Deterministic nonperiodic flow. *Journal of the Atmospheric Sciences*, *20*(2), 130–141. https://doi.org/10.1175/1520-0469(1963)020\<0130:DNF\>2.0.CO;2

Lorenz, E. N. (1969). Atmospheric predictability as revealed by naturally occurring analogues. *Journal of the Atmospheric Sciences*, *26*(4), 636–646. https://doi.org/10.1175/1520-0469(1969)26\<636:APARBN\>2.0.CO;2

Mackey, M. C. y Glass, L. (1977). Oscillation and chaos in physiological control systems. *Science*, *197*(4300), 287–289. https://doi.org/10.1126/science.267326

May, R. M. (1976). Simple mathematical models with very complicated dynamics. *Nature*, *261*(5560), 459–467. https://doi.org/10.1038/261459a0

Nagumo, J., Arimoto, S. y Yoshizawa, S. (1962). An active pulse transmission line simulating nerve axon. *Proceedings of the IRE*, *50*(10), 2061–2070. https://doi.org/10.1109/JRPROC.1962.288235

Oseledets, V. I. (1968). A multiplicative ergodic theorem. Characteristic Lyapunov exponents of dynamical systems. *Transactions of the Moscow Mathematical Society*, *19*, 197–231.

Ott, E. (2002). *Chaos in dynamical systems* (2.ª ed.). Cambridge University Press.

Parker, T. S. y Chua, L. O. (1989). *Practical numerical algorithms for chaotic systems*. Springer. https://doi.org/10.1007/978-1-4612-3486-9

Perko, L. (2001). *Differential equations and dynamical systems* (3.ª ed.). Springer. https://doi.org/10.1007/978-1-4613-0003-8

Pikovsky, A., Rosenblum, M. y Kurths, J. (2001). *Synchronization: A universal concept in nonlinear sciences*. Cambridge University Press. https://doi.org/10.1017/CBO9780511755743

Pomeau, Y. y Manneville, P. (1980). Intermittent transition to turbulence in dissipative dynamical systems. *Communications in Mathematical Physics*, *74*(2), 189–197. https://doi.org/10.1007/BF01197757

Robinson, R. C. (2012). *An introduction to dynamical systems: Continuous and discrete* (2.ª ed.). American Mathematical Society.

Scheffer, M., Bascompte, J., Brock, W. A., Brovkin, V., Carpenter, S. R., Dakos, V., Held, H., van Nes, E. H., Rietkerk, M. y Sugihara, G. (2009). Early-warning signals for critical transitions. *Nature*, *461*(7260), 53–59. https://doi.org/10.1038/nature08227

Shampine, L. F. y Thompson, S. (2001). Solving DDEs in MATLAB. *Applied Numerical Mathematics*, *37*(4), 441–458. https://doi.org/10.1016/S0168-9274(00)00055-6

Singer, D. (1978). Stable orbits and bifurcation of maps of the interval. *SIAM Journal on Applied Mathematics*, *35*(2), 260–267. https://doi.org/10.1137/0135020

Smith, H. (2011). *An introduction to delay differential equations with applications to the life sciences*. Springer. https://doi.org/10.1007/978-1-4419-7646-8

Sprott, J. C. (2003). *Chaos and time-series analysis*. Oxford University Press.

Strogatz, S. H. (2015). *Nonlinear dynamics and chaos: With applications to physics, biology, chemistry, and engineering* (2.ª ed.). Westview Press.

van de Leemput, I. A., Wichers, M., Cramer, A. O. J., Borsboom, D., Tuerlinckx, F., Kuppens, P., van Nes, E. H., Viechtbauer, W., Giltay, E. J., Aggen, S. H., Derom, C., Jacobs, N., Kendler, K. S., van der Maas, H. L. J., Neale, M. C., Peeters, F., Thiery, E., Zachar, P. y Scheffer, M. (2014). Critical slowing down as early warning for the onset and termination of depression. *Proceedings of the National Academy of Sciences*, *111*(1), 87–92. https://doi.org/10.1073/pnas.1312114110

van der Pol, B. (1926). On «relaxation-oscillations». *The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science*, *2*(11), 978–992. https://doi.org/10.1080/14786442608564127

Virtanen, P., Gommers, R., Oliphant, T. E., Haberland, M., Reddy, T., Cournapeau, D., Burovski, E., Peterson, P., Weckesser, W., Bright, J., van der Walt, S. J., Brett, M., Wilson, J., Millman, K. J., Mayorov, N., Nelson, A. R. J., Jones, E., Kern, R., Larson, E., … SciPy 1.0 Contributors. (2020). SciPy 1.0: Fundamental algorithms for scientific computing in Python. *Nature Methods*, *17*(3), 261–272. https://doi.org/10.1038/s41592-019-0686-2

Walters, P. (1982). *An introduction to ergodic theory*. Springer.

Wolf, A., Swift, J. B., Swinney, H. L. y Vastano, J. A. (1985). Determining Lyapunov exponents from a time series. *Physica D*, *16*(3), 285–317. https://doi.org/10.1016/0167-2789(85)90011-9