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15. Conformal Dynamics and Hyperbolic Geometry (Co-edited with F. Bonahon, F. P. Gardiner, and D. Saric). American Mathematical Society, Contemporary Math, 573, 2012.
14. Mastering Differential Equations: the Visual Method. The Teaching Company, 2011.
13. Complex Dynamics: Twenty Five Years After the Appearance of the Mandelbrot Set. (Coedited with L. Keen). American Mathematical Society, Contemporary Math 396, 2006.
12. Differential Equations, Dynamical Systems, and an Introduction to Chaos. Second Edition. With M. W. Hirsch and S. Smale. Third edition, Elsevier Academic Press, 2013.
11. The Mandelbrot and Julia Sets. Key Curriculum Press, 2000.
10. Chaos. With J. Choate. Key Curriculum Press, 2000.
9. Fractals. With J. Choate and A. Foster. Key Curriculum Press, 1999.
8. Iteration. With J. Choate and A. Foster. Key Curriculum Press, 1999.
7. Differential Equations. With P. Blanchard and G. R. Hall. First Edition. Brooks/Cole, 1998. Spanish Translation: Ecuaciones Diferenciales. International Thomson Editores. Mexico, 1999. Second Edition. Brooks/Cole, 2002. Third Edition, 2005. Fourth Edition, 2011.
6. Complex Dynamical Systems: The Mathematics Behind the Mandelbrot and Julia Sets. Editor. American Mathematics Society, 1994.
5. A First Course in Chaotic Dynamical Systems: Theory and Experiment. Perseus Press, 1992. French Translation: Editions Addison-Wesley France, Paris. Japanese Translation, 1997, by Addison-Wesley.
4. Chaos and Fractals: The Mathematics Behind the Computer Graphics. Coedited with L. Keen. American Mathematics Society, 1989.
3. Chaos, Fractals, and Dynamics: Computer Experiments in Mathematics. Menlo Park, Calif.: Addison-Wesley, 1989. Italian Translation: Caos e Frattali---Matematica dei Sistemi Dinamici e Applicazioni al Calcolatore. Libreria Ulrico Hoepli, Milano, 1990. Dutch Translation: Chaos, Fractals, Dynamica: Computer-Experimenten in de Wiskunde. Addison-Wesley: Amsterdam.
2. An Introduction to Chaotic Dynamical Systems. Redwood City, Calif.: Addison-Wesley, 1986. Second Edition, 1989. Japanese Translation by Kyoritsu Press, 1988. Second Edition, 1990.
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117. A Dynamical Invariant for Sierpinski Cardioid Julia Sets. With P. Blanchard, D. Cuzzocreo, E. Fitzgibbon, and S. Silvestri. Fundamenta Mathematicae 226 (2014), 253-277.
116. A Cantor-Mandelbrot-Sierpinski Tree in the Parameter Plane for Rational Maps. Transactions of the AMS 366 (2014), 1095-1117.
115. Sierpinski Curve Julia Sets for Quadratic Rational Maps. With N. Fagella, A. Garijo, and X. Jarque. Annales Acadademiae Scientarum Fennicae 39 (2014), 3-22.
114. Julia Sets Converging to Filled Quadratic Julia Sets. With R. Kozma. Ergodic Theory and Dynamical Systems 34 (2014), 171-184.
113. Singular Perturbations of Complex Polynomials. Bulletin of the American Math. Society 50 (2013), 391-429.
112. A Century of Complex Dynamics. With D. Alexander. To appear.
111. The Complex Geometry of the Mandelbrot Set. In: ISCS 2013: International Symposium on Complex Systems. Springer-Verlag (2013) 3-8.
110. Crazy Topology in Complex Dynamics. To appear.
109. Parameter Planes for Complex Analytic Maps. In Fractals, Wavelets, and their Applications. Springer-Verlag (2014), 61-75.
108. My Favorite Planar Fractal. Canadian Math Society Notes 45 No. 3 (2013), 13.
107. Simple Mandelpinski Necklaces for z2 + C/z2. With D. Cuzzocreo. To appear.
106. Connectivity of Julia Sets for Singularly Perturbed Rational Maps. With E. D. Russell. In Chaos, CNN, Memristors and Beyond, World Scientific (2013), 239-245.
105. Limiting Behavior of Julia Sets of Singularly Perturbed Rational Maps. In Frontiers of Complex Dynamics: In Celebration of John Milnor's 80th Birthday. Princeton University Press (2014), 121-134.
104. Checkerboard Julia Sets for Rational Maps. With P. Blanchard, F. Cilingir, D. Cuzzocreo, D. M. Look, and E. D. Russell. Int'l J. Bifurcation & Chaos 23 (2013) 48-60.
103. Dynamics of zn + C/zn; Why the Case n = 2 is Crazy. In Conformal Dynamics and Hyperbolic Geometry. Contemporary Math. AMS. Vol. 573 (2012), 49-65.
102. Extending External Rays Throughout the Julia Sets of Rational Maps (with F. Cilingir and E.D. Russell). In Smale Festschrift, J. Fixed Point Theory and Applications 7 (2010), 223-240.
101. Complex Exponential Dynamics. In Handbook of Dynamical Systems, Vol. 3. Eds. H. Broer, F. Takens, B. Hasselblatt. Elsevier (2010), 125-224.
100. Singular Perturbations of Complex Analytic Dynamical Systems. In Nonlinear Dynamics and Chaos: Advances and Perspectives, Springer-Verlag, Berlin (2010), 13-29.
99. Intertwined Internal Rays in Julia Sets of Rational Maps. Fundamenta Mathematicae 206 (2009), 139-159.
98. Dynamic Classification of Escape Time Sierpinski Curve Julia Sets (with K. Pilgrim). Fundamenta Mathematicae 202 (2009), 181-198.
97. Rabbits, Basilicas, and Other Julia Sets Wrapped in Sierpinski Carpets (with P. Blanchard, A. Garijo, S. Marotta, and E.D. Russell). In Complex Dynamics: Families and Friends, A. K. Peters (2009), 277-296.
96. A Generalized Version of the McMullen Domain (with P. Blanchard, A. Garijo, and E. D. Russell). International Journal of Bifurcation and Chaos 18 (2008), 2309-2318.
95. Limiting Julia Sets for Singularly Perturbed Rational Maps (with M. Morabito). International Journal of Bifurcation and Chaos 18 (2008), 3175-3181.
94. Julia Sets Converging to the Unit Disk (with A. Garijo). Proceedings of the American Mathematical Society 136 (2008), 981-988.
93. Singular Perturbations of zn (with M. Holzer, D. M. Look, M. Moreno Rocha, and D. Uminsky). In Transcendental Dynamics and Complex Analysis, eds. P. Rippon and G. Stallard. LMS Lecture Notes 348. Cambridge University Press (2008), 111-137.
92. Evolution of the McMullen Domain for Singularly Perturbed Rational Maps (with S. Marotta). Topology Proceedings 32 (2008), 301-320.
91. Cantor Webs in the Parameter and Dynamical Planes of Rational Maps. Fields Institute Communications 53 (2008), 105-123.
90. Cantor Sets of Circles of Sierpinski Curve Julia Sets. Ergodic Theory and Dynamical Systems 27 (2007), 1525-1539.
89. Open Problems in Complex Dynamics and "Complex" Topology. In Open Problems in Topology II, ed. Elliott Pearl, Elsevier (2007), 469-478.
88. A Myriad of Sierpinski Curve Julia Sets. In Difference Equations, Special Functions and Orthogonal Polynomials. World Scientific (2007), 131-148.
87. The McMullen Domain: Satellite Mandelbrot Sets and Sierpinski Holes. Conformal Geometry and Dynamics 11 (2007), 164-190.
86. The McMullen Domain: Rings Around the Boundary (with S. Marotta). Transactions of the American Mathematical Society 359 (2007), 3251-3273.
85. Rational Maps with Generalized Sierpinski Gasket Julia Sets (with M. Moreno Rocha and S. Siegmund). Topology and its Applications 154 (2007), 11-27.
84. Cantor Necklaces and Structurally Unstable Sierpinski Curve Julia Sets for Rational Maps. Qualitative Theory of Dynamical Systems 5 (2006), 337-359.
83. A Criterion for Sierpinski Curve Julia Sets. (with D. M. Look). Topology Proceedings 30 (2006), 163-179.
82. Sierpinski Carpets and Gaskets As Julia Sets of Rational Maps. (with P. Blanchard, D. M. Look, M. Moreno Rocha, P. Seal, S. Siegmund, and D. Uminsky). In Dynamics on the Riemann Sphere, eds. P. Horth and C. Petersen. European Math Society (2006), 97-119.
81. Baby Mandelbrot Sets Adorned with Halos in Families of Rational Maps. In Complex Dynamics: Twenty-Five Years After the Appearance of the Mandelbrot Set, American Mathematical Society. Contemporary Math 396 (2006), 37-50.
80. Blowup Points and Baby Mandelbrot Sets for Singularly Perturbed Rational Maps. (with M. Holzer and D. Uminsky). In Complex Dynamics: Twenty-Five Years After the Appearance of the Mandelbrot Set. American Mathematical Society. Contemporary Math 396 (2006), 51-62.
79. Indecomposable Continua and Misiurewicz Points in Exponential Dynamics (with X. Jarque and M. Moreno Rocha). International Journal of Bifurcation and Chaos 15 (2005), 3281-3293.
78. Buried Sierpinski Curve Julia Sets. (with D. M. Look). Discrete and Continuous Dynamical Systems 13 (2005), 1035-1046.
77. Sierpinski Curve Julia Sets and Singular Perturbations of Complex Polynomials. (with P. Blanchard, D. M. Look, P. Seal, Y. Shapiro). Ergodic Theory and Dynamical Systems 25 (2005), 1047-1055.
76. Structure of the McMullen Domain in the Parameter Planes for Rational Maps. Fundamenta Mathematicae 185 (2005), 267-285.
75. The Escape Trichotomy for Singularly Perturbed Rational Maps. (with D. M. Look and D. Uminsky). Indiana University Mathematics Journal 54 (2005), 1621-1634.
74. Symbolic Dynamics for a Sierpinski Curve Julia Set (with D. M. Look). Journal of Difference Equations and Applications 11 (2005), 581-596.
73. Topological Bifurcations. Topology Proceedings 28 (2004), 99-112.
72. Playing Catchup with Iterated Exponentials (with K. Josic, M. Moreno Rocha, P. Seal, Y. Shapiro, A. T. Frumosu). The American Mathematical Monthly 111 (2004), 704-708.
71. Singular Perturbations of Quadratic Maps (with K. Josic and Y. Shapiro). International Journal of Bifurcations and Chaos 14 (2004), 161-169.
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69. A Survey of Exponential Dynamics. In: New Progress in Difference Equations, eds. B. Aulbach, S. Elaydi, and G. Ladas. Chapman & Hall/CRC (2004), 105-122.
68. Cantor and Sierpinski, Julia and Fatou: Complex Topology Meets Complex Dynamics. Notices of the American Mathematical Society 51 (2004), 9-15.
67. A Semilinear Model for Exponential Dynamics and Topology (with M. Moreno Rocha). Topology Proceedings 26 (2002), 153-167.
66. Indecomposable Continua in Exponential Dynamics (with X. Jarque). Conformal Geometry and Dynamics 6 (2002), 1-12.
65. The Fractal Geometry of the Mandelbrot Set: I. Periods of the Bulbs. In Fractals, Graphics, and Mathematics Education. MAA Notes 58 (2002), 61-68.
64. Hyperbolic Components of the Complex Exponential Family (with N. Fagella and X. Jarque). Fundamenta Mathematicae. 174 (2002), 193-215.
63. Geometry of the Antennas in the Mandelbrot Set (with M. Moreno Rocha). Fractals. 10 (2002), 39-46.
62. Accessible Points in the Julia Sets of Stable Exponentials (with R. Bhattacharjee, R. E. Lee Deville, K. Josic, M. Moreno Rocha). Discrete and Continuous Dynamical Systems. 1 (2001), 299-318.
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60. Sex: Dynamics, Topology, and Bifurcations of Complex Exponentials. Topology and its Applications 110 (2001), 133-161.
59. Tying Hairs for Structurally Stable Exponentials (with R. Bhattacharjee). Ergodic Theory and Dynamical Systems 20 (2000), 1603-1617.
58. Dynamical Convergence of Polynomials to the Exponential (with C. Bodelon, M. Hayes, L. Goldberg, J. Hubbard and G. Roberts). Journal of Difference Equations and Applications 6 (2000), 275-307.
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55. Cantor Bouquets, Explosions, and Knaster Continua: Dynamics of Complex Exponentials. Publicacions Matematiques 43 (1999), 27-54.
54. The Mandelbrot Set, the Farey Tree, and the Fibonacci Sequence. American Mathematical Monthly 106 (1999), 289-302.
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51. The Dynamics of a Piecewise Linear Map and Its Smooth Approximation (with D. Aharonov and U. Elias). International Journal of Bifurcation and Chaos 7 (1997), 351-372.
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30. Chaotic Bursts in Nonlinear Dynamical Systems. Science. 235 (1987), 342-345.
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