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Devaney, Robert L.

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Author ID: devaney.robert-l Recent zbMATH articles by "Devaney, Robert L."
Published as: Devaney, R.; Devaney, R. L.; Devaney, Robert; Devaney, Robert L.
Homepage: http://math.bu.edu/people/bob/
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 125 Publications since 1976, including 18 Books
Reviewing Activity: 2 Reviews

Publications by Year

Citations contained in zbMATH

108 Publications have been cited 2,687 times in 2,086 Documents Cited by Year
An introduction to chaotic dynamical systems. 2nd ed. Zbl 0695.58002
Devaney, Robert L.
758
1989
An introduction to chaotic dynamical systems. Zbl 0632.58005
Devaney, Robert L.
212
1986
Differential equations, dynamical systems, and an introduction to chaos. 2nd ed. Zbl 1135.37002
Hirsch, Morris W.; Smale, Stephen; Devaney, Robert L.
125
2004
An introduction to chaotic dynamical systems. Reprint of the 2nd (1989) ed. Zbl 1025.37001
Devaney, Robert L.
119
2003
Reversible diffeomorphisms and flows. Zbl 0363.58003
Devaney, Robert L.
96
1976
A first course in chaotic dynamical systems. Theory and experiment. Zbl 0768.58001
Devaney, Robert L.
87
1992
Shift automorphisms in the Henon mapping. Zbl 0414.58028
Devaney, R.; Nitecki, Zbigniew
81
1979
Dynamics of exp(z). Zbl 0567.58025
Devaney, Robert L.; Krych, Michal
68
1984
Differential equations, dynamical systems, and an introduction to chaos. 3rd ed. Zbl 1239.37001
Hirsch, Morris W.; Smale, Stephen; Devaney, Robert L.
65
2013
Chaotic bursts in nonlinear dynamical systems. Zbl 1226.37030
Devaney, Robert L.
60
1987
Homoclinic orbits in Hamiltonian systems. Zbl 0343.58005
Devaney, Robert L.
58
1976
The escape trichotomy for singularly perturbed rational maps. Zbl 1087.37043
Devaney, Robert L.; Look, Daniel M.; Uminsky, David
57
2005
Blue sky catastrophes in reversible and Hamiltonian systems. Zbl 0362.58006
Devaney, Robert L.
51
1977
Dynamics of entire functions near the essential singularity. Zbl 0612.58020
Devaney, Robert L.; Tangerman, Folkert
43
1986
The science of fractal images. With contributions by Yuval Fisher and Michael McGuire. Ed. by Heinz-Otto Peitgen and Dietmar Saupe. (Based on notes for the course fractals - introduction, basics and pespectives given as part of the SIG-GRAPH ’87, Anaheim, Calif. course program). Zbl 0683.58003
Barnsley, Michael F.; Devaney, Robert L.; Mandelbrot, Benoit B.; Peitgen, Heinz-Otto; Saupe, Dietmar; Voss, Richard
38
1988
Sierpinski-curve Julia sets and singular perturbations of complex polynomials. Zbl 1098.37043
Blanchard, Paul; Devaney, Robert L.; Look, Daniel M.; Seal, Pradipta; Shapiro, Yakov
34
2005
Triple collision in the planar isosceles three body problem. Zbl 0438.58014
Devaney, Robert L.
28
1980
Hairs for the complex exponential family. Zbl 1192.37061
Bodelón, Clara; Devaney, Robert L.; Hayes, Michael; Roberts, Gareth; Goldberg, Lisa R.; Hubbard, John H.
26
1999
Collision orbits in the anisotropic Kepler problem. Zbl 0382.58015
Devaney, Robert L.
26
1978
The Mandelbrot set, the Farey tree, and the Fibonacci sequence. Zbl 1076.37512
Devaney, Robert L.
25
1999
A piecewise linear model for the zones of instability of an area- preserving map. Zbl 0588.58009
Devaney, Robert L.
23
1984
Structure of the McMullen domain in the parameter planes for rational maps. Zbl 1093.37016
Devaney, Robert L.
21
2005
Homoclinic bifurcations and the area-conserving Henon mapping. Zbl 0527.58029
Devaney, Robert L.
21
1984
Julia sets and bifurcation diagrams for exponential maps. Zbl 0542.58021
Devaney, Robert L.
20
1984
Transversal homoclinic orbits in an integrable system. Zbl 0406.58019
Devaney, Robert L.
20
1978
Singular perturbations of complex polynomials. Zbl 1277.37074
Devaney, Robert L.
17
2013
A criterion for Sierpiński curve Julia sets. Zbl 1138.37027
Devaney, Robert L.; Look, Daniel M.
16
2006
The dynamics of complex polynomials and automorphisms of the shift. Zbl 0729.58025
Blanchard, Paul; Devaney, Robert L.; Keen, Linda
15
1991
Uniformization of attracting basins for exponential maps. Zbl 0621.30024
Devaney, Robert L.; Goldberg, Lisa R.
15
1987
A generalized version of the McMullen domain. Zbl 1165.37321
Blanchard, Paul; Devaney, Robert L.; Garijo, Antonio; Russell, Elizabeth D.
14
2008
Dynamics of meromorphic maps: Maps with polynomial Schwarzian derivative. Zbl 0666.30017
Devaney, Robert L.; Keen, Linda
14
1989
Structural instability of exp(z). Zbl 0575.58027
Devaney, Robert L.
14
1985
Rational maps with generalized Sierpinski gasket Julia sets. Zbl 1104.37032
Devaney, Robert L.; Rocha, Mónica Moreno; Siegmund, Stefan
13
2007
The exploding exponential and chaotic bursts in complex dynamics. Zbl 0742.30025
Devaney, Robert L.; Durkin, Marilyn B.
13
1991
Blowing up singularities in classical mechanical systems. Zbl 0501.70019
Devaney, Robert L.
13
1982
Dynamic classification of escape time Sierpiński curve Julia sets. Zbl 1160.37362
Devaney, Robert L.; Pilgrim, Kevin M.
12
2009
The McMullen domain: rings around the boundary. Zbl 1109.37038
Devaney, Robert L.; Marotta, Sebastian M.
12
2007
Buried Sierpinski curve Julia sets. Zbl 1106.37031
Devaney, Robert L.; Look, Daniel M.
12
2005
Cantor necklaces and structurally unstable Sierpinski curve Julia sets for rational maps. Zbl 1122.37033
Devaney, Robert L.
12
2004
Indecomposable continua in exponential dynamics. Zbl 1062.37035
Devaney, Robert L.; Jarque, Xavier
12
2002
\(e^ z\): Dynamics and bifurcations. Zbl 0874.58066
Devaney, Robert L.
12
1991
Subshifts of finite type in linked twist mappings. Zbl 0392.58005
Devaney, Robert L.
12
1978
Julia sets converging to the unit disk. Zbl 1128.37029
Devaney, Robert L.; Garijo, Antonio
11
2008
The McMullen domain: Satellite Mandelbrot sets and Sierpinski holes. Zbl 1162.37021
Devaney, Robert L.
11
2007
Baby Mandelbrot sets adorned with halos in families of rational maps. Zbl 1207.37033
Devaney, Robert L.
11
2006
Knaster-like continua and complex dynamics. Zbl 0798.58041
Devaney, Robert L.
11
1993
Singularities in classical mechanical systems. Zbl 0467.70016
Devaney, Robert L.
11
1981
Dynamical convergence of polynomials to the exponential. Zbl 0976.37022
Bodelón, Clara; Devaney, Robert L.; Hayes, Michael; Roberts, Gareth; Goldberg, Lisa R.; Hubbard, John H.
10
2000
Indecomposable continua and Misiurewicz points in exponential dynamics. Zbl 1093.37506
Devaney, Robert L.; Jarque, Xavier; Rocha, Mónica Moreno
9
2005
Misiurewicz points for complex exponentials. Zbl 0899.58052
Devaney, Robert L.; Jarque, Xavier
9
1997
Chaos, fractals, and dynamics. Computer experiments in mathematics. Zbl 0746.58003
Devaney, Robert L.
9
1990
Tying hairs for structurally stable exponentials. Zbl 0992.37040
Bhattacharjee, Ranjit; Devaney, Robert L.
8
2000
The dynamics of a piecewise linear map and its smooth approximation. Zbl 0886.58073
Aharonov, D.; Devaney, R. L.; Elias, U.
8
1997
Limiting Julia sets for singularly perturbed rational maps. Zbl 1165.37324
Morabito, Mark; Devaney, Robert L.
7
2008
Cantor bouquets, explosions, and Knaster continua: Dynamics of complex exponentials. Zbl 0939.37028
Devaney, Robert L.
7
1999
The fractal geometry of the Mandelbrot set. II: How to count and how to add. Zbl 0929.37016
Devaney, Robert L.
7
1995
Complex dynamical systems. The mathematics behind the Mandelbrot and Julia sets. Lecture notes prepared for the American Mathematical Society short course, held in Cincinnati, OH, USA, January 10-11, 1994. Zbl 0809.00024
Devaney, Robert L. (ed.)
7
1994
Sierpiński curve Julia sets for quadratic rational maps. Zbl 1317.37049
Devaney, Robert L.; Fagella, Núria; Garijo, Antonio; Jarque, Xavier
6
2014
Structural stability of homothetic solutions of the collinear n-body problem. Zbl 0411.70006
Devaney, Robert L.
6
1979
Mandelpinski spokes in the parameter planes of rational maps. Zbl 1336.37035
Devaney, Robert L.
5
2016
Checkerboard Julia sets for rational maps. Zbl 1270.37033
Blanchard, Paul; Çilingir, Figen; Cuzzocreo, Daniel; Devaney, Robert L.; Look, Daniel M.; Russell, Elizabeth D.
5
2013
Intertwined internal rays in Julia sets of rational maps. Zbl 1187.37067
Devaney, Robert L.
5
2009
Symbolic dynamics for a Sierpinski curve Julia set. Zbl 1074.37027
Devaney, Robert L.; Look, Daniel M.
5
2005
Singular perturbations of quadratic maps. Zbl 1099.37036
Devaney, Robert L.; Josić, Krešimir; Shapiro, Yakov
5
2004
Geometry of the antennas in the Mandelbrot set. Zbl 1072.37506
Devaney, R. L.; Moreno Rocha, M.
5
2002
Accessible points in the Julia sets of stable exponentials. Zbl 1093.37015
Bhattacharjee, Ranjit; Devaney, Robert L.; Deville, R. E. Lee; Josić, Krešimir; Moreno-Rocha, Monica
5
2001
Chaos and fractals. The mathematics behind the computer graphics. (Lectures delivered in the AMS short course on August 6-7, 1988, given in conjunction with the AMS centennial meeting in Procidence, RI). Zbl 0677.58004
Devaney, Robert L. (ed.); Keen, Linda (ed.)
5
1989
A Mandelpinski maze for rational maps of the form \(z^n + \lambda / z^d\). Zbl 1358.37085
Devaney, Robert L.
4
2016
Julia sets converging to filled quadratic Julia sets. Zbl 1291.37061
Kozma, Robert T.; Devaney, Robert L.
4
2014
A Cantor-Mandelbrot-Sierpiński tree in the parameter plane for rational maps. Zbl 1301.37030
Devaney, Robert L.
4
2014
Dynamics of \(z^n + \lambda/z^n\); why the case \(n = 2\) is crazy. Zbl 1333.37022
Devaney, Robert L.
4
2012
Complex exponential dynamics. Zbl 1255.37001
Devaney, Robert L.
4
2010
Extending external rays throughout the Julia sets of rational maps. Zbl 1205.37056
Çilingir, Figen; Devaney, Robert L.; Russell, Elizabeth D.
4
2010
The rabbit and other Julia sets wrapped in Sierpiński carpets. Zbl 1180.37070
Blanchard, Paul; Devaney, Robert L.; Garijo, Antonio; Marotta, Sebastian M.; Russell, Elizabeth D.
4
2009
Singular perturbations of \(z^n\). Zbl 1170.30009
Devaney, Robert L.; Holzer, Matt; Look, Daniel M.; Moreno Rocha, Mónica; Uminsky, David
4
2008
Sierpinski carpets and gaskets as Julia sets of rational maps. Zbl 1173.37046
Blanchard, Paul; Devaney, Robert L.; Look, Daniel M.; Moreno Rocha, Monica; Seal, Pradipta; Siegmund, Stefan; Uminsky, David
4
2006
Complex dynamics. Twenty-five years after the appearance of the Mandelbrot set. Proceedings of an AMS-IMS-SIAM joint summer research conference, Snowbird, UT, USA, June 13–17, 2004. Zbl 1084.37002
Devaney, Robert L. (ed.); Keen, Linda (ed.)
4
2006
Cantor and Sierpinski, Julia and Fatou: complex topology meets complex dynamics. Zbl 1161.37328
Devaney, Robert L.
4
2004
\(Se^x\): dynamics, topology, and bifurcations of complex exponentials. Zbl 0996.37057
Devaney, Robert L.
4
2001
Baby Mandelbrot sets are born in cauliflowers. Zbl 1107.37303
Douady, Adrien; Buff, Xavier; Devaney, Robert L.; Sentenac, Pierrette
4
2000
Motion near total collapse in the planar isosceles three-body problem. Zbl 0507.70006
Devaney, Robert L.
4
1982
Mandelpinski structures in the parameter planes of rational maps. Zbl 1362.37089
Devaney, Robert L.
3
2016
Cantor webs in the parameter and dynamical planes of rational maps. Zbl 1154.37347
Devaney, Robert L.
3
2008
Cantor sets of circles of Sierpiński curve Julia sets. Zbl 1131.37049
Devaney, Robert L.
3
2007
Hyperbolic components of the complex exponential family. Zbl 1099.30011
Devaney, Robert L.; Fagella, Núria; Jarque, Xavier
3
2002
The complex dynamics of quadratic polynomials. Zbl 0820.58032
Devaney, Robert L.
3
1994
Dynamics of entire maps. Zbl 0708.30026
Devaney, R. L.
3
1990
Dynamics of tangent. Zbl 0662.30019
Devaney, Robert L.; Keen, Linda
3
1988
The Baker transformation and a mapping associated to the restricted three body problem. Zbl 0463.28012
Devaney, Robert L.
3
1981
Morse-Smale singularities in simple mechanical systems. Zbl 0463.58013
Devaney, Robert L.
3
1980
Non regularizability of the anisotropic Kepler problem. Zbl 0351.58003
Devaney, Robert L.
3
1978
Accessible Mandelbrot sets in the family \(z^n + \lambda /z^n\). Zbl 1338.37057
Blanchard, Paul; Cuzzocreo, Daniel; Devaney, Robert L.; Fitzgibbon, Elizabeth
2
2016
Evolution of the McMullen domain for singularly perturbed rational maps. Zbl 1156.37010
Devaney, Robert L.; Marotta, Sebastian M.
2
2008
A myriad of Sierpiński curve Julia sets. Zbl 1133.28003
Devaney, Robert L.
2
2007
Complex dynamics and symbolic dynamics. Zbl 1073.37010
Blanchard, Paul; Devaney, Robert L.; Keen, Linda
2
2004
Reversibility, homoclinic points, and the Hénon map. Zbl 0676.58043
Devaney, Robert L.
2
1988
Linked twist mappings are almost Anosov. Zbl 0448.58018
Devaney, Robert L.
2
1980
Simple Mandelpinski necklaces for \(z^2 + \lambda /z^2\). Zbl 1356.37064
Cuzzocreo, Daniel; Devaney, Robert L.
1
2016
Blowup points and baby Mandelbrot sets for singularly perturbed rational maps. Zbl 1207.37034
Devaney, Robert L.; Holzer, Matt; Uminsky, David
1
2006
A semilinear model for exponential dynamics and topology. Zbl 1028.37013
Devaney, Robert L.; Moreno Rocha, Mónica
1
2002
Mandelpinski spokes in the parameter planes of rational maps. Zbl 1336.37035
Devaney, Robert L.
5
2016
A Mandelpinski maze for rational maps of the form \(z^n + \lambda / z^d\). Zbl 1358.37085
Devaney, Robert L.
4
2016
Mandelpinski structures in the parameter planes of rational maps. Zbl 1362.37089
Devaney, Robert L.
3
2016
Accessible Mandelbrot sets in the family \(z^n + \lambda /z^n\). Zbl 1338.37057
Blanchard, Paul; Cuzzocreo, Daniel; Devaney, Robert L.; Fitzgibbon, Elizabeth
2
2016
Simple Mandelpinski necklaces for \(z^2 + \lambda /z^2\). Zbl 1356.37064
Cuzzocreo, Daniel; Devaney, Robert L.
1
2016
Sierpiński curve Julia sets for quadratic rational maps. Zbl 1317.37049
Devaney, Robert L.; Fagella, Núria; Garijo, Antonio; Jarque, Xavier
6
2014
Julia sets converging to filled quadratic Julia sets. Zbl 1291.37061
Kozma, Robert T.; Devaney, Robert L.
4
2014
A Cantor-Mandelbrot-Sierpiński tree in the parameter plane for rational maps. Zbl 1301.37030
Devaney, Robert L.
4
2014
Differential equations, dynamical systems, and an introduction to chaos. 3rd ed. Zbl 1239.37001
Hirsch, Morris W.; Smale, Stephen; Devaney, Robert L.
65
2013
Singular perturbations of complex polynomials. Zbl 1277.37074
Devaney, Robert L.
17
2013
Checkerboard Julia sets for rational maps. Zbl 1270.37033
Blanchard, Paul; Çilingir, Figen; Cuzzocreo, Daniel; Devaney, Robert L.; Look, Daniel M.; Russell, Elizabeth D.
5
2013
Dynamics of \(z^n + \lambda/z^n\); why the case \(n = 2\) is crazy. Zbl 1333.37022
Devaney, Robert L.
4
2012
Complex exponential dynamics. Zbl 1255.37001
Devaney, Robert L.
4
2010
Extending external rays throughout the Julia sets of rational maps. Zbl 1205.37056
Çilingir, Figen; Devaney, Robert L.; Russell, Elizabeth D.
4
2010
Dynamic classification of escape time Sierpiński curve Julia sets. Zbl 1160.37362
Devaney, Robert L.; Pilgrim, Kevin M.
12
2009
Intertwined internal rays in Julia sets of rational maps. Zbl 1187.37067
Devaney, Robert L.
5
2009
The rabbit and other Julia sets wrapped in Sierpiński carpets. Zbl 1180.37070
Blanchard, Paul; Devaney, Robert L.; Garijo, Antonio; Marotta, Sebastian M.; Russell, Elizabeth D.
4
2009
A generalized version of the McMullen domain. Zbl 1165.37321
Blanchard, Paul; Devaney, Robert L.; Garijo, Antonio; Russell, Elizabeth D.
14
2008
Julia sets converging to the unit disk. Zbl 1128.37029
Devaney, Robert L.; Garijo, Antonio
11
2008
Limiting Julia sets for singularly perturbed rational maps. Zbl 1165.37324
Morabito, Mark; Devaney, Robert L.
7
2008
Singular perturbations of \(z^n\). Zbl 1170.30009
Devaney, Robert L.; Holzer, Matt; Look, Daniel M.; Moreno Rocha, Mónica; Uminsky, David
4
2008
Cantor webs in the parameter and dynamical planes of rational maps. Zbl 1154.37347
Devaney, Robert L.
3
2008
Evolution of the McMullen domain for singularly perturbed rational maps. Zbl 1156.37010
Devaney, Robert L.; Marotta, Sebastian M.
2
2008
Rational maps with generalized Sierpinski gasket Julia sets. Zbl 1104.37032
Devaney, Robert L.; Rocha, Mónica Moreno; Siegmund, Stefan
13
2007
The McMullen domain: rings around the boundary. Zbl 1109.37038
Devaney, Robert L.; Marotta, Sebastian M.
12
2007
The McMullen domain: Satellite Mandelbrot sets and Sierpinski holes. Zbl 1162.37021
Devaney, Robert L.
11
2007
Cantor sets of circles of Sierpiński curve Julia sets. Zbl 1131.37049
Devaney, Robert L.
3
2007
A myriad of Sierpiński curve Julia sets. Zbl 1133.28003
Devaney, Robert L.
2
2007
A criterion for Sierpiński curve Julia sets. Zbl 1138.37027
Devaney, Robert L.; Look, Daniel M.
16
2006
Baby Mandelbrot sets adorned with halos in families of rational maps. Zbl 1207.37033
Devaney, Robert L.
11
2006
Sierpinski carpets and gaskets as Julia sets of rational maps. Zbl 1173.37046
Blanchard, Paul; Devaney, Robert L.; Look, Daniel M.; Moreno Rocha, Monica; Seal, Pradipta; Siegmund, Stefan; Uminsky, David
4
2006
Complex dynamics. Twenty-five years after the appearance of the Mandelbrot set. Proceedings of an AMS-IMS-SIAM joint summer research conference, Snowbird, UT, USA, June 13–17, 2004. Zbl 1084.37002
Devaney, Robert L. (ed.); Keen, Linda (ed.)
4
2006
Blowup points and baby Mandelbrot sets for singularly perturbed rational maps. Zbl 1207.37034
Devaney, Robert L.; Holzer, Matt; Uminsky, David
1
2006
The escape trichotomy for singularly perturbed rational maps. Zbl 1087.37043
Devaney, Robert L.; Look, Daniel M.; Uminsky, David
57
2005
Sierpinski-curve Julia sets and singular perturbations of complex polynomials. Zbl 1098.37043
Blanchard, Paul; Devaney, Robert L.; Look, Daniel M.; Seal, Pradipta; Shapiro, Yakov
34
2005
Structure of the McMullen domain in the parameter planes for rational maps. Zbl 1093.37016
Devaney, Robert L.
21
2005
Buried Sierpinski curve Julia sets. Zbl 1106.37031
Devaney, Robert L.; Look, Daniel M.
12
2005
Indecomposable continua and Misiurewicz points in exponential dynamics. Zbl 1093.37506
Devaney, Robert L.; Jarque, Xavier; Rocha, Mónica Moreno
9
2005
Symbolic dynamics for a Sierpinski curve Julia set. Zbl 1074.37027
Devaney, Robert L.; Look, Daniel M.
5
2005
Differential equations, dynamical systems, and an introduction to chaos. 2nd ed. Zbl 1135.37002
Hirsch, Morris W.; Smale, Stephen; Devaney, Robert L.
125
2004
Cantor necklaces and structurally unstable Sierpinski curve Julia sets for rational maps. Zbl 1122.37033
Devaney, Robert L.
12
2004
Singular perturbations of quadratic maps. Zbl 1099.37036
Devaney, Robert L.; Josić, Krešimir; Shapiro, Yakov
5
2004
Cantor and Sierpinski, Julia and Fatou: complex topology meets complex dynamics. Zbl 1161.37328
Devaney, Robert L.
4
2004
Complex dynamics and symbolic dynamics. Zbl 1073.37010
Blanchard, Paul; Devaney, Robert L.; Keen, Linda
2
2004
An introduction to chaotic dynamical systems. Reprint of the 2nd (1989) ed. Zbl 1025.37001
Devaney, Robert L.
119
2003
Indecomposable continua in exponential dynamics. Zbl 1062.37035
Devaney, Robert L.; Jarque, Xavier
12
2002
Geometry of the antennas in the Mandelbrot set. Zbl 1072.37506
Devaney, R. L.; Moreno Rocha, M.
5
2002
Hyperbolic components of the complex exponential family. Zbl 1099.30011
Devaney, Robert L.; Fagella, Núria; Jarque, Xavier
3
2002
A semilinear model for exponential dynamics and topology. Zbl 1028.37013
Devaney, Robert L.; Moreno Rocha, Mónica
1
2002
Accessible points in the Julia sets of stable exponentials. Zbl 1093.37015
Bhattacharjee, Ranjit; Devaney, Robert L.; Deville, R. E. Lee; Josić, Krešimir; Moreno-Rocha, Monica
5
2001
\(Se^x\): dynamics, topology, and bifurcations of complex exponentials. Zbl 0996.37057
Devaney, Robert L.
4
2001
Dynamical convergence of polynomials to the exponential. Zbl 0976.37022
Bodelón, Clara; Devaney, Robert L.; Hayes, Michael; Roberts, Gareth; Goldberg, Lisa R.; Hubbard, John H.
10
2000
Tying hairs for structurally stable exponentials. Zbl 0992.37040
Bhattacharjee, Ranjit; Devaney, Robert L.
8
2000
Baby Mandelbrot sets are born in cauliflowers. Zbl 1107.37303
Douady, Adrien; Buff, Xavier; Devaney, Robert L.; Sentenac, Pierrette
4
2000
Hairs for the complex exponential family. Zbl 1192.37061
Bodelón, Clara; Devaney, Robert L.; Hayes, Michael; Roberts, Gareth; Goldberg, Lisa R.; Hubbard, John H.
26
1999
The Mandelbrot set, the Farey tree, and the Fibonacci sequence. Zbl 1076.37512
Devaney, Robert L.
25
1999
Cantor bouquets, explosions, and Knaster continua: Dynamics of complex exponentials. Zbl 0939.37028
Devaney, Robert L.
7
1999
Misiurewicz points for complex exponentials. Zbl 0899.58052
Devaney, Robert L.; Jarque, Xavier
9
1997
The dynamics of a piecewise linear map and its smooth approximation. Zbl 0886.58073
Aharonov, D.; Devaney, R. L.; Elias, U.
8
1997
The fractal geometry of the Mandelbrot set. II: How to count and how to add. Zbl 0929.37016
Devaney, Robert L.
7
1995
Complex dynamical systems. The mathematics behind the Mandelbrot and Julia sets. Lecture notes prepared for the American Mathematical Society short course, held in Cincinnati, OH, USA, January 10-11, 1994. Zbl 0809.00024
Devaney, Robert L. (ed.)
7
1994
The complex dynamics of quadratic polynomials. Zbl 0820.58032
Devaney, Robert L.
3
1994
Complex dynamics and entire functions. Zbl 0820.58031
Devaney, Robert L.
1
1994
Knaster-like continua and complex dynamics. Zbl 0798.58041
Devaney, Robert L.
11
1993
A first course in chaotic dynamical systems. Theory and experiment. Zbl 0768.58001
Devaney, Robert L.
87
1992
The dynamics of complex polynomials and automorphisms of the shift. Zbl 0729.58025
Blanchard, Paul; Devaney, Robert L.; Keen, Linda
15
1991
The exploding exponential and chaotic bursts in complex dynamics. Zbl 0742.30025
Devaney, Robert L.; Durkin, Marilyn B.
13
1991
\(e^ z\): Dynamics and bifurcations. Zbl 0874.58066
Devaney, Robert L.
12
1991
Chaos, fractals, and dynamics. Computer experiments in mathematics. Zbl 0746.58003
Devaney, Robert L.
9
1990
Dynamics of entire maps. Zbl 0708.30026
Devaney, R. L.
3
1990
Transition to chaos. The orbit diagram and the Mandelbrot set. Videotape PAL (65 min. VHS). Zbl 0779.58006
Devaney, Robert L.
1
1990
An introduction to chaotic dynamical systems. 2nd ed. Zbl 0695.58002
Devaney, Robert L.
758
1989
Dynamics of meromorphic maps: Maps with polynomial Schwarzian derivative. Zbl 0666.30017
Devaney, Robert L.; Keen, Linda
14
1989
Chaos and fractals. The mathematics behind the computer graphics. (Lectures delivered in the AMS short course on August 6-7, 1988, given in conjunction with the AMS centennial meeting in Procidence, RI). Zbl 0677.58004
Devaney, Robert L. (ed.); Keen, Linda (ed.)
5
1989
Dynamics of entire maps. Zbl 0727.30022
Devaney, Robert L.
1
1989
Film and video as a tool in mathematical research. Zbl 0682.58030
Devaney, Robert L.
1
1989
Chaos, fractals and dynamics. Computer experiments in mathematics. Videocassette (NTSC/PAL u. SECAM; 60 min. VHS; sd., col.). Zbl 0776.58004
Devaney, Robert
1
1989
The science of fractal images. With contributions by Yuval Fisher and Michael McGuire. Ed. by Heinz-Otto Peitgen and Dietmar Saupe. (Based on notes for the course fractals - introduction, basics and pespectives given as part of the SIG-GRAPH ’87, Anaheim, Calif. course program). Zbl 0683.58003
Barnsley, Michael F.; Devaney, Robert L.; Mandelbrot, Benoit B.; Peitgen, Heinz-Otto; Saupe, Dietmar; Voss, Richard
38
1988
Dynamics of tangent. Zbl 0662.30019
Devaney, Robert L.; Keen, Linda
3
1988
Reversibility, homoclinic points, and the Hénon map. Zbl 0676.58043
Devaney, Robert L.
2
1988
Chaotic bursts in nonlinear dynamical systems. Zbl 1226.37030
Devaney, Robert L.
60
1987
Uniformization of attracting basins for exponential maps. Zbl 0621.30024
Devaney, Robert L.; Goldberg, Lisa R.
15
1987
An introduction to chaotic dynamical systems. Zbl 0632.58005
Devaney, Robert L.
212
1986
Dynamics of entire functions near the essential singularity. Zbl 0612.58020
Devaney, Robert L.; Tangerman, Folkert
43
1986
Exploding Julia sets. Zbl 0603.58012
Devaney, Robert L.
1
1986
Structural instability of exp(z). Zbl 0575.58027
Devaney, Robert L.
14
1985
Dynamics of exp(z). Zbl 0567.58025
Devaney, Robert L.; Krych, Michal
68
1984
A piecewise linear model for the zones of instability of an area- preserving map. Zbl 0588.58009
Devaney, Robert L.
23
1984
Homoclinic bifurcations and the area-conserving Henon mapping. Zbl 0527.58029
Devaney, Robert L.
21
1984
Julia sets and bifurcation diagrams for exponential maps. Zbl 0542.58021
Devaney, Robert L.
20
1984
Blowing up singularities in classical mechanical systems. Zbl 0501.70019
Devaney, Robert L.
13
1982
Motion near total collapse in the planar isosceles three-body problem. Zbl 0507.70006
Devaney, Robert L.
4
1982
Singularities in classical mechanical systems. Zbl 0467.70016
Devaney, Robert L.
11
1981
The Baker transformation and a mapping associated to the restricted three body problem. Zbl 0463.28012
Devaney, Robert L.
3
1981
Genealogy of periodic points of maps of the interval. Zbl 0472.58017
Devaney, Robert L.
1
1981
Triple collision in the planar isosceles three body problem. Zbl 0438.58014
Devaney, Robert L.
28
1980
Morse-Smale singularities in simple mechanical systems. Zbl 0463.58013
Devaney, Robert L.
3
1980
Linked twist mappings are almost Anosov. Zbl 0448.58018
Devaney, Robert L.
2
1980
Shift automorphisms in the Henon mapping. Zbl 0414.58028
Devaney, R.; Nitecki, Zbigniew
81
1979
Structural stability of homothetic solutions of the collinear n-body problem. Zbl 0411.70006
Devaney, Robert L.
6
1979
...and 8 more Documents
all top 5

Cited by 2,763 Authors

39 Devaney, Robert L.
26 Chen, Guanrong
26 Shi, Yuming
23 Cordero, Alicia
23 Torregrosa Sanchez, Juan Ramón
22 Gardini, Laura
18 Romera, Miguel
17 Montoya, Fausto
16 Pastor, Gerardo
16 Wu, Xinxing
15 Peris, Alfredo
13 Huang, Yu
13 Wang, Lidong
13 Wang, Xingyuan
12 Álvarez, Gonzalo A.
12 Martínez-Giménez, Félix
11 Liao, Gongfu
11 Rempe-Gillen, Lasse
11 Rozikov, Utkir A.
11 Tian, Chuanjun
10 Behl, Ramandeep
10 Danca, Marius-Florin
10 Fagella, Núria
10 Llibre, Jaume
10 Mai, Jiehua
10 Oprocha, Piotr
10 Shi, Enhui
10 Tkhaĭ, Valentin Nikolaevich
10 Yang, Fei
10 Yorke, James Alan
9 Garijo, Antonio
9 Holmes, Philip J.
9 Jamilov, Uygun U.
9 Jarque, Xavier
9 Kennedy, Judy A.
9 Margara, Luciano
8 Bischi, Gian-Italo
8 Cattaneo, Gianpiero
8 Champneys, Alan R.
8 Chua, Leon Ong
8 Das, Ruchi
8 Kim, Young Ik
8 Liu, Shutang
8 Motsa, Sandile Sydney
8 Wang, Huoyun
8 Zanolin, Fabio
7 Benini, Anna Miriam
7 Bergweiler, Walter
7 Bollt, Erik M.
7 Chen, Goong
7 Chu, Zhenyan
7 Formenti, Enrico
7 Geum, Young Hee
7 Guyeux, Christophe
7 Hawkins, Jane M.
7 Kannan, V.
7 Kuznetsov, Sergey P.
7 Lamb, Jeroen S. W.
7 Lerman, Lev
7 Lu, Tianxiu
7 Qiu, Weiyuan
7 Schleicher, Dierk
7 Sevryuk, Mikhail Borisovich
7 Shao, Hua
7 Tresser, Charles
7 Yang, Qigui
6 Akhmet, Marat Ubaydulla
6 Barański, Krzysztof
6 Broer, Henk W.
6 Chen, Yi-Chiuan
6 Huang, Tingwen
6 Lacomba, Ernesto A.
6 Li, Zongcheng
6 Lin, Wei
6 Lindström, Torsten
6 Marotta, Sebastian M.
6 Mayer, John C.
6 Michetti, Elisabetta
6 Simó, Carles
6 Takahasi, Hiroki
6 Yu, Jian-She
6 Zhang, Xu
5 Arroyo, David
5 Blanchard, François
5 Chen, Yuanlong
5 Conejero, José Alberto
5 Coullet, Pierre H.
5 Diacu, Florin Nicolae
5 García Guirao, Juan Luis
5 Goldberg, Lisa Robin
5 Gonchenko, Sergey V.
5 Grebogi, Celso
5 Juang, Jonq
5 Kloeden, Peter Eris
5 Knobloch, Jürgen
5 Koss, Lorelei
5 Ladra González, Manuel
5 Leonel, Edson Denner
5 Li, Liangliang
5 Liang, Wei
...and 2,663 more Authors
all top 5

Cited in 372 Serials

162 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
126 Chaos, Solitons and Fractals
88 Physica D
79 Journal of Mathematical Analysis and Applications
59 Chaos
49 Topology and its Applications
49 Journal of Difference Equations and Applications
47 Ergodic Theory and Dynamical Systems
41 Proceedings of the American Mathematical Society
37 Journal of Differential Equations
35 Applied Mathematics and Computation
34 Transactions of the American Mathematical Society
29 Qualitative Theory of Dynamical Systems
28 Theoretical Computer Science
25 Nonlinear Dynamics
23 Celestial Mechanics and Dynamical Astronomy
23 Communications in Nonlinear Science and Numerical Simulation
21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
20 Discrete and Continuous Dynamical Systems
19 Regular and Chaotic Dynamics
18 Advances in Mathematics
17 Journal of Mathematical Physics
17 Journal of Dynamics and Differential Equations
17 Discrete Dynamics in Nature and Society
15 Physics Letters. A
15 Journal of Economic Dynamics & Control
14 Nonlinear Analysis. Theory, Methods & Applications
13 Communications in Mathematical Physics
13 Mathematical Biosciences
13 Mathematische Zeitschrift
12 Computers & Mathematics with Applications
12 Acta Mathematica Sinica. English Series
11 Journal of Statistical Physics
11 Journal of Computational and Applied Mathematics
11 Acta Applicandae Mathematicae
11 Nonlinear Analysis. Real World Applications
10 Journal of the Franklin Institute
10 Journal of Mathematical Biology
10 Celestial Mechanics
10 Linear Algebra and its Applications
10 Journal of Nonlinear Science
10 Abstract and Applied Analysis
10 Conformal Geometry and Dynamics
10 Journal of Dynamical and Control Systems
10 Discrete and Continuous Dynamical Systems. Series B
9 Archive for Rational Mechanics and Analysis
9 Applied Mathematics Letters
8 Bulletin of Mathematical Biology
8 Semigroup Forum
8 Mathematical Problems in Engineering
8 Journal of Dynamical Systems and Geometric Theories
8 Journal of Biological Dynamics
7 Journal of Fluid Mechanics
7 Prikladnaya Matematika i Mekhanika
7 Bulletin of the American Mathematical Society. New Series
7 Differential Equations
7 Dynamical Systems
7 SIAM Journal on Applied Dynamical Systems
7 Journal of Theoretical Biology
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Journal of Economic Theory
6 Annals of Physics
6 Indagationes Mathematicae. New Series
6 Experimental Mathematics
6 Journal of Mathematical Sciences (New York)
6 Economic Theory
6 Journal of Mathematical Chemistry
6 Advances in Difference Equations
5 Applicable Analysis
5 Bulletin of the Australian Mathematical Society
5 Journal of Applied Mathematics and Mechanics
5 Rocky Mountain Journal of Mathematics
5 Journal of Geometry and Physics
5 Automatica
5 Duke Mathematical Journal
5 Fuzzy Sets and Systems
5 International Journal of Circuit Theory and Applications
5 Journal of Computer and System Sciences
5 Journal of Functional Analysis
5 Journal of Mathematical Economics
5 Acta Mathematicae Applicatae Sinica. English Series
5 Mathematical and Computer Modelling
5 European Journal of Operational Research
5 International Journal of Computer Mathematics
5 Fractals
5 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
5 Science China. Mathematics
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
4 American Mathematical Monthly
4 The Mathematical Intelligencer
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Compositio Mathematica
4 Journal of Statistical Planning and Inference
4 Mathematics and Computers in Simulation
4 Results in Mathematics
4 Applied Mathematics and Mechanics. (English Edition)
4 The Visual Computer
4 Dynamics and Stability of Systems
4 Aequationes Mathematicae
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
...and 272 more Serials
all top 5

Cited in 61 Fields

1,412 Dynamical systems and ergodic theory (37-XX)
294 Ordinary differential equations (34-XX)
190 General topology (54-XX)
170 Biology and other natural sciences (92-XX)
160 Mechanics of particles and systems (70-XX)
152 Functions of a complex variable (30-XX)
114 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
111 Numerical analysis (65-XX)
108 Difference and functional equations (39-XX)
102 Computer science (68-XX)
92 Systems theory; control (93-XX)
87 Operator theory (47-XX)
82 Partial differential equations (35-XX)
73 Measure and integration (28-XX)
66 Probability theory and stochastic processes (60-XX)
56 Information and communication theory, circuits (94-XX)
37 Fluid mechanics (76-XX)
34 Quantum theory (81-XX)
33 Statistical mechanics, structure of matter (82-XX)
31 Operations research, mathematical programming (90-XX)
27 Real functions (26-XX)
24 Functional analysis (46-XX)
22 Mathematical logic and foundations (03-XX)
21 Number theory (11-XX)
21 Global analysis, analysis on manifolds (58-XX)
20 Several complex variables and analytic spaces (32-XX)
17 Combinatorics (05-XX)
17 Differential geometry (53-XX)
17 Statistics (62-XX)
14 Algebraic geometry (14-XX)
14 Manifolds and cell complexes (57-XX)
13 General and overarching topics; collections (00-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
12 Mechanics of deformable solids (74-XX)
10 Group theory and generalizations (20-XX)
10 Optics, electromagnetic theory (78-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Relativity and gravitational theory (83-XX)
7 Geophysics (86-XX)
5 History and biography (01-XX)
5 Nonassociative rings and algebras (17-XX)
5 Sequences, series, summability (40-XX)
5 Convex and discrete geometry (52-XX)
5 Astronomy and astrophysics (85-XX)
4 Commutative algebra (13-XX)
4 Associative rings and algebras (16-XX)
4 Topological groups, Lie groups (22-XX)
4 Special functions (33-XX)
4 Geometry (51-XX)
3 Field theory and polynomials (12-XX)
3 Approximations and expansions (41-XX)
2 Potential theory (31-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Category theory; homological algebra (18-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Algebraic topology (55-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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