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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, Robert L.; Devaney, R. L.; Devaney, Robert; Devaney, R.
Homepage: http://math.bu.edu/people/bob/
External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef
Documents Indexed: 127 Publications since 1976, including 20 Books
Reviewing Activity: 2 Reviews

Publications by Year

Citations contained in zbMATH Open

107 Publications have been cited 2,619 times in 2,019 Documents Cited by Year
An introduction to chaotic dynamical systems. 2nd ed. Zbl 0695.58002
Devaney, Robert L.
736
1989
An introduction to chaotic dynamical systems. Zbl 0632.58005
Devaney, Robert L.
198
1986
Differential equations, dynamical systems, and an introduction to chaos. 2nd ed. Zbl 1135.37002
Hirsch, Morris W.; Smale, Stephen; Devaney, Robert L.
128
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.
99
1976
A first course in chaotic dynamical systems. Theory and experiment. Zbl 0768.58001
Devaney, Robert L.
92
1992
Shift automorphisms in the Henon mapping. Zbl 0414.58028
Devaney, R.; Nitecki, Zbigniew
83
1979
Dynamics of exp(z). Zbl 0567.58025
Devaney, Robert L.; Krych, Michal
72
1984
Homoclinic orbits in Hamiltonian systems. Zbl 0343.58005
Devaney, Robert L.
60
1976
The escape trichotomy for singularly perturbed rational maps. Zbl 1087.37043
Devaney, Robert L.; Look, Daniel M.; Uminsky, David
59
2005
Differential equations, dynamical systems, and an introduction to chaos. 3rd ed. Zbl 1239.37001
Hirsch, Morris W.; Smale, Stephen; Devaney, Robert L.
56
2013
Blue sky catastrophes in reversible and Hamiltonian systems. Zbl 0362.58006
Devaney, Robert L.
52
1977
Dynamics of entire functions near the essential singularity. Zbl 0612.58020
Devaney, Robert L.; Tangerman, Folkert
43
1986
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.
29
1980
Chaotic bursts in nonlinear dynamical systems. Zbl 1226.37030
Devaney, Robert L.
28
1987
Collision orbits in the anisotropic Kepler problem. Zbl 0382.58015
Devaney, Robert L.
26
1978
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
A piecewise linear model for the zones of instability of an area- preserving map. Zbl 0588.58009
Devaney, Robert L.
25
1984
The Mandelbrot set, the Farey tree, and the Fibonacci sequence. Zbl 1076.37512
Devaney, Robert L.
25
1999
Homoclinic bifurcations and the area-conserving Henon mapping. Zbl 0527.58029
Devaney, Robert L.
21
1984
Transversal homoclinic orbits in an integrable system. Zbl 0406.58019
Devaney, Robert L.
21
1978
Structure of the McMullen domain in the parameter planes for rational maps. Zbl 1093.37016
Devaney, Robert L.
21
2005
Julia sets and bifurcation diagrams for exponential maps. Zbl 0542.58021
Devaney, Robert L.
20
1984
A criterion for Sierpiński curve Julia sets. Zbl 1138.37027
Devaney, Robert L.; Look, Daniel M.
18
2006
Singular perturbations of complex polynomials. Zbl 1277.37074
Devaney, Robert L.
17
2013
Dynamics of meromorphic maps: Maps with polynomial Schwarzian derivative. Zbl 0666.30017
Devaney, Robert L.; Keen, Linda
16
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
16
1988
Uniformization of attracting basins for exponential maps. Zbl 0621.30024
Devaney, Robert L.; Goldberg, Lisa R.
15
1987
The dynamics of complex polynomials and automorphisms of the shift. Zbl 0729.58025
Blanchard, Paul; Devaney, Robert L.; Keen, Linda
15
1991
A generalized version of the McMullen domain. Zbl 1165.37321
Blanchard, Paul; Devaney, Robert L.; Garijo, Antonio; Russell, Elizabeth D.
15
2008
Rational maps with generalized Sierpinski gasket Julia sets. Zbl 1104.37032
Devaney, Robert L.; Rocha, Mónica Moreno; Siegmund, Stefan
14
2007
Structural instability of exp(z). Zbl 0575.58027
Devaney, Robert L.
13
1985
\(e^ z\): Dynamics and bifurcations. Zbl 0874.58066
Devaney, Robert L.
13
1991
Blowing up singularities in classical mechanical systems. Zbl 0501.70019
Devaney, Robert L.
13
1982
The exploding exponential and chaotic bursts in complex dynamics. Zbl 0742.30025
Devaney, Robert L.; Durkin, Marilyn B.
13
1991
Subshifts of finite type in linked twist mappings. Zbl 0392.58005
Devaney, Robert L.
13
1978
Indecomposable continua in exponential dynamics. Zbl 1062.37035
Devaney, Robert L.; Jarque, Xavier
12
2002
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
The McMullen domain: rings around the boundary. Zbl 1109.37038
Devaney, Robert L.; Marotta, Sebastian M.
12
2007
Dynamic classification of escape time Sierpiński curve Julia sets. Zbl 1160.37362
Devaney, Robert L.; Pilgrim, Kevin M.
12
2009
Knaster-like continua and complex dynamics. Zbl 0798.58041
Devaney, Robert L.
11
1993
Baby Mandelbrot sets adorned with halos in families of rational maps. Zbl 1207.37033
Devaney, Robert L.
11
2006
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
Singularities in classical mechanical systems. Zbl 0467.70016
Devaney, Robert L.
10
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
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
Indecomposable continua and Misiurewicz points in exponential dynamics. Zbl 1093.37506
Devaney, Robert L.; Jarque, Xavier; Rocha, Mónica Moreno
9
2005
The dynamics of a piecewise linear map and its smooth approximation. Zbl 0886.58073
Aharonov, D.; Devaney, R. L.; Elias, U.
8
1997
Tying hairs for structurally stable exponentials. Zbl 0992.37040
Bhattacharjee, Ranjit; Devaney, Robert L.
8
2000
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
Limiting Julia sets for singularly perturbed rational maps. Zbl 1165.37324
Morabito, Mark; Devaney, Robert L.
7
2008
Structural stability of homothetic solutions of the collinear n-body problem. Zbl 0411.70006
Devaney, Robert L.
6
1979
Sierpiński curve Julia sets for quadratic rational maps. Zbl 1317.37049
Devaney, Robert L.; Fagella, Núria; Garijo, Antonio; Jarque, Xavier
6
2014
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.)
5
1994
Geometry of the antennas in the Mandelbrot set. Zbl 1072.37506
Devaney, R. L.; Moreno Rocha, M.
5
2002
Singular perturbations of quadratic maps. Zbl 1099.37036
Devaney, Robert L.; Josić, Krešimir; Shapiro, Yakov
5
2004
Symbolic dynamics for a Sierpinski curve Julia set. Zbl 1074.37027
Devaney, Robert L.; Look, Daniel M.
5
2005
Intertwined internal rays in Julia sets of rational maps. Zbl 1187.37067
Devaney, Robert L.
5
2009
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
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
\(Se^x\): dynamics, topology, and bifurcations of complex exponentials. Zbl 0996.37057
Devaney, Robert L.
4
2001
Motion near total collapse in the planar isosceles three-body problem. Zbl 0507.70006
Devaney, Robert L.
4
1982
Non regularizability of the anisotropic Kepler problem. Zbl 0351.58003
Devaney, Robert L.
4
1978
The Baker transformation and a mapping associated to the restricted three body problem. Zbl 0463.28012
Devaney, Robert L.
4
1981
Hyperbolic components of the complex exponential family. Zbl 1099.30011
Devaney, Robert L.; Fagella, Núria; Jarque, Xavier
4
2002
Baby Mandelbrot sets are born in cauliflowers. Zbl 1107.37303
Douady, Adrien; Buff, Xavier; Devaney, Robert L.; Sentenac, Pierrette
4
2000
Cantor and Sierpinski, Julia and Fatou: complex topology meets complex dynamics. Zbl 1161.37328
Devaney, Robert L.
4
2004
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
Extending external rays throughout the Julia sets of rational maps. Zbl 1205.37056
Çilingir, Figen; Devaney, Robert L.; Russell, Elizabeth D.
4
2010
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
Singular perturbations of \(z^n\). Zbl 1170.30009
Devaney, Robert L.; Holzer, Matt; Look, Daniel M.; Moreno Rocha, Mónica; Uminsky, David
4
2008
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
Complex exponential dynamics. Zbl 1255.37001
Devaney, Robert L.
4
2010
Julia sets converging to filled quadratic Julia sets. Zbl 1291.37061
Kozma, Robert T.; Devaney, Robert L.
4
2014
A Mandelpinski maze for rational maps of the form \(z^n + \lambda / z^d\). Zbl 1358.37085
Devaney, Robert L.
4
2016
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
Dynamics of entire maps. Zbl 0708.30026
Devaney, R. L.
3
1990
The complex dynamics of quadratic polynomials. Zbl 0820.58032
Devaney, Robert L.
3
1994
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.)
3
1989
Morse-Smale singularities in simple mechanical systems. Zbl 0463.58013
Devaney, Robert L.
3
1980
Cantor sets of circles of Sierpiński curve Julia sets. Zbl 1131.37049
Devaney, Robert L.
3
2007
Cantor webs in the parameter and dynamical planes of rational maps. Zbl 1154.37347
Devaney, Robert L.
3
2008
Dynamics of tangent. Zbl 0662.30019
Devaney, Robert L.; Keen, Linda
3
1988
Mandelpinski structures in the parameter planes of rational maps. Zbl 1362.37089
Devaney, Robert L.
3
2016
Reversibility, homoclinic points, and the Hénon map. Zbl 0676.58043
Devaney, Robert L.
2
1988
Evolution of the McMullen domain for singularly perturbed rational maps. Zbl 1156.37010
Devaney, Robert L.; Marotta, Sebastian M.
2
2008
Linked twist mappings are almost Anosov. Zbl 0448.58018
Devaney, Robert L.
2
1980
Complex dynamics and symbolic dynamics. Zbl 1073.37010
Blanchard, Paul; Devaney, Robert L.; Keen, Linda
2
2004
A myriad of Sierpiński curve Julia sets. Zbl 1133.28003
Devaney, Robert L.
2
2007
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.
2
2016
Exploding Julia sets. Zbl 0603.58012
Devaney, Robert L.
1
1986
A semilinear model for exponential dynamics and topology. Zbl 1028.37013
Devaney, Robert L.; Moreno Rocha, Mónica
1
2002
A first course in chaotic dynamical systems. Theory and experiment. 2nd edition. Zbl 1435.37001
Devaney, Robert L.
1
2020
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.
2
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.
56
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
Extending external rays throughout the Julia sets of rational maps. Zbl 1205.37056
Çilingir, Figen; Devaney, Robert L.; Russell, Elizabeth D.
4
2010
Complex exponential dynamics. Zbl 1255.37001
Devaney, Robert L.
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.
15
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
14
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.
18
2006
Baby Mandelbrot sets adorned with halos in families of rational maps. Zbl 1207.37033
Devaney, Robert L.
11
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.; Keen, Linda
4
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
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
59
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.
128
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
4
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.
5
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.
92
1992
The dynamics of complex polynomials and automorphisms of the shift. Zbl 0729.58025
Blanchard, Paul; Devaney, Robert L.; Keen, Linda
15
1991
\(e^ z\): Dynamics and bifurcations. Zbl 0874.58066
Devaney, Robert L.
13
1991
The exploding exponential and chaotic bursts in complex dynamics. Zbl 0742.30025
Devaney, Robert L.; Durkin, Marilyn B.
13
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
An introduction to chaotic dynamical systems. 2nd ed. Zbl 0695.58002
Devaney, Robert L.
736
1989
Dynamics of meromorphic maps: Maps with polynomial Schwarzian derivative. Zbl 0666.30017
Devaney, Robert L.; Keen, Linda
16
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.; Keen, Linda
3
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
16
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.
28
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.
198
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.
13
1985
Dynamics of exp(z). Zbl 0567.58025
Devaney, Robert L.; Krych, Michal
72
1984
A piecewise linear model for the zones of instability of an area- preserving map. Zbl 0588.58009
Devaney, Robert L.
25
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.
10
1981
The Baker transformation and a mapping associated to the restricted three body problem. Zbl 0463.28012
Devaney, Robert L.
4
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.
29
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
83
1979
Structural stability of homothetic solutions of the collinear n-body problem. Zbl 0411.70006
Devaney, Robert L.
6
1979
Homoclinic orbits to hyperbolic equilibria. Zbl 0435.58011
Devaney, Robert L.
1
1979
...and 7 more Documents
all top 5

Cited by 2,568 Authors

39 Devaney, Robert L.
25 Chen, Guanrong
23 Cordero, Alicia
23 Torregrosa Sanchez, Juan Ramón
22 Shi, Yuming
16 Gardini, Laura
16 Wu, Xinxing
15 Peris, Alfredo
15 Romera, Miguel
14 Montoya, Fausto
13 Huang, Yu
13 Pastor, Gerardo
12 Martínez-Giménez, Félix
12 Rozikov, Utkir A.
12 Wang, Lidong
11 Álvarez, Gonzalo A.
11 Fagella, Núria
11 Llibre, Jaume
11 Rempe-Gillen, Lasse
11 Tian, Chuanjun
11 Yang, Fei
10 Behl, Ramandeep
10 Danca, Marius-Florin
10 Das, Ruchi
10 Jamilov, Uygun U.
10 Liao, Gongfu
10 Oprocha, Piotr
10 Tkhaĭ, Valentin Nikolaevich
10 Yorke, James Alan
9 Garijo, Antonio
9 Holmes, Philip J.
9 Jarque, Xavier
9 Kennedy, Judy A.
9 Mai, Jiehua
9 Margara, Luciano
9 Shi, Enhui
8 Bergweiler, Walter
8 Cattaneo, Gianpiero
8 Champneys, Alan R.
8 Qiu, Weiyuan
8 Wang, Huoyun
8 Zanolin, Fabio
7 Akhmet, Marat Ubaydulla
7 Benini, Anna Miriam
7 Chen, Goong
7 Chua, Leon Ong
7 Formenti, Enrico
7 Geum, Young Hee
7 Guyeux, Christophe
7 Hawkins, Jane M.
7 Kannan, V.
7 Kim, Young Ik
7 Kuznetsov, Sergey P.
7 Lamb, Jeroen S. W.
7 Lerman, Lev
7 Liu, Shutang
7 Lu, Tianxiu
7 Schleicher, Dierk
7 Sevryuk, Mikhail Borisovich
7 Shao, Hua
7 Tresser, Charles
6 Barański, Krzysztof
6 Bollt, Erik M.
6 Broer, Henk W.
6 Buzzi, Claudio Aguinaldo
6 Chen, Yi-Chiuan
6 Chu, Zhenyan
6 Huang, Tingwen
6 Lacomba, Ernesto A.
6 Ladra González, Manuel
6 Lin, Wei
6 Lindström, Torsten
6 Marotta, Sebastian M.
6 Mayer, John C.
6 Michetti, Elisabetta
6 Motsa, Sandile Sydney
6 Simó, Carles
6 Takahasi, Hiroki
6 Teixeira, Marco Antonio
6 Zhang, Xu
5 Arroyo, David
5 Bischi, Gian-Italo
5 Chen, Yuanlong
5 Conejero, José Alberto
5 Coullet, Pierre H.
5 Diacu, Florin Nicolae
5 Goldberg, Lisa Robin
5 Knobloch, Jürgen
5 Koss, Lorelei
5 Li, Liangliang
5 Liang, Wei
5 Magreñán, Ángel Alberto
5 Milnor, John Willard
5 Moeckel, Richard
5 Morgul, Omer
5 Murillo-Arcila, Marina
5 Nusse, Helena Engelina
5 Orúe, Amalia B.
5 Osinga, Hinke Maria
5 Prasad, M. Guru Prem
...and 2,468 more Authors
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Cited in 376 Serials

161 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
100 Chaos, Solitons and Fractals
74 Physica D
72 Journal of Mathematical Analysis and Applications
60 Chaos
51 Journal of Difference Equations and Applications
48 Ergodic Theory and Dynamical Systems
45 Topology and its Applications
41 Proceedings of the American Mathematical Society
35 Journal of Differential Equations
35 Transactions of the American Mathematical Society
31 Qualitative Theory of Dynamical Systems
27 Applied Mathematics and Computation
26 Nonlinear Dynamics
25 Theoretical Computer Science
24 Celestial Mechanics and Dynamical Astronomy
22 Discrete and Continuous Dynamical Systems
21 Communications in Nonlinear Science and Numerical Simulation
20 Discrete Dynamics in Nature and Society
19 Advances in Mathematics
19 Regular and Chaotic Dynamics
18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
17 Journal of Mathematical Physics
17 Journal of Dynamics and Differential Equations
15 Communications in Mathematical Physics
13 Mathematische Zeitschrift
12 Mathematical Biosciences
12 Physics Letters. A
12 Journal of Economic Dynamics & Control
12 Journal of Nonlinear Science
12 Acta Mathematica Sinica. English Series
11 Computers & Mathematics with Applications
11 Journal of Statistical Physics
11 Acta Applicandae Mathematicae
11 Discrete and Continuous Dynamical Systems. Series B
10 Journal of Mathematical Biology
10 Celestial Mechanics
10 Conformal Geometry and Dynamics
10 Journal of Dynamical and Control Systems
10 Nonlinear Analysis. Real World Applications
9 Archive for Rational Mechanics and Analysis
9 Journal of the Franklin Institute
9 Journal of Computational and Applied Mathematics
9 Linear Algebra and its Applications
9 Abstract and Applied Analysis
8 Bulletin of Mathematical Biology
8 Semigroup Forum
8 Applied Mathematics Letters
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 Nonlinear Analysis. Theory, Methods & Applications
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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
6 Asian-European Journal of Mathematics
6 Journal of Theoretical Biology
5 Applicable Analysis
5 Bulletin of the Australian Mathematical Society
5 Rocky Mountain Journal of Mathematics
5 Journal of Geometry and Physics
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 Economic Theory
5 Journal of Functional Analysis
5 Acta Mathematicae Applicatae Sinica. English Series
5 Aequationes Mathematicae
5 International Journal of Computer Mathematics
5 Fractals
5 International Journal of Biomathematics
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 Acta Mechanica
4 American Mathematical Monthly
4 Journal of Applied Mathematics and Mechanics
4 Nonlinearity
4 The Mathematical Intelligencer
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Compositio Mathematica
4 Journal of Mathematical Economics
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 Mathematical and Computer Modelling
4 Dynamics and Stability of Systems
...and 276 more Serials
all top 5

Cited in 60 Fields

1,372 Dynamical systems and ergodic theory (37-XX)
292 Ordinary differential equations (34-XX)
182 General topology (54-XX)
166 Biology and other natural sciences (92-XX)
157 Functions of a complex variable (30-XX)
157 Mechanics of particles and systems (70-XX)
109 Difference and functional equations (39-XX)
106 Numerical analysis (65-XX)
99 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
94 Computer science (68-XX)
89 Operator theory (47-XX)
85 Systems theory; control (93-XX)
83 Partial differential equations (35-XX)
72 Measure and integration (28-XX)
58 Probability theory and stochastic processes (60-XX)
52 Information and communication theory, circuits (94-XX)
36 Fluid mechanics (76-XX)
31 Quantum theory (81-XX)
30 Statistical mechanics, structure of matter (82-XX)
29 Operations research, mathematical programming (90-XX)
28 Real functions (26-XX)
25 Functional analysis (46-XX)
23 Number theory (11-XX)
23 Global analysis, analysis on manifolds (58-XX)
22 Mathematical logic and foundations (03-XX)
20 Several complex variables and analytic spaces (32-XX)
18 Differential geometry (53-XX)
17 Combinatorics (05-XX)
16 Statistics (62-XX)
14 Algebraic geometry (14-XX)
13 General and overarching topics; collections (00-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
13 Manifolds and cell complexes (57-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
9 Group theory and generalizations (20-XX)
9 Mechanics of deformable solids (74-XX)
9 Optics, electromagnetic theory (78-XX)
6 History and biography (01-XX)
6 Nonassociative rings and algebras (17-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Convex and discrete geometry (52-XX)
6 Relativity and gravitational theory (83-XX)
6 Geophysics (86-XX)
5 Geometry (51-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 Approximations and expansions (41-XX)
4 Astronomy and astrophysics (85-XX)
3 Field theory and polynomials (12-XX)
3 Sequences, series, summability (40-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)

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