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Author ID: tresser.charles Recent zbMATH articles by "Tresser, Charles"
Published as: Tresser, Charles; Tresser, C.
Documents Indexed: 100 Publications since 1978, including 1 Book
Co-Authors: 64 Co-Authors with 92 Joint Publications
1,772 Co-Co-Authors
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Serials

12 Comptes Rendus de l’Académie des Sciences. Série I
11 Chaos
6 Physica D
5 Communications in Mathematical Physics
5 Nonlinearity
5 Proceedings of the American Mathematical Society
5 Ergodic Theory and Dynamical Systems
3 Transactions of the American Mathematical Society
2 Israel Journal of Mathematics
2 Journal of Statistical Physics
2 Boletim da Sociedade Brasileira de Matemática
2 Fundamenta Mathematicae
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Communications on Pure and Applied Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physics Letters. A
1 Reports on Mathematical Physics
1 Chaos, Solitons and Fractals
1 Annales de l’Institut Fourier
1 Journal of the London Mathematical Society. Second Series
1 Topology
1 Journal of Complexity
1 Applied Mathematics Letters
1 Journal of Physics A: Mathematical and General
1 Journal de Mécanique Théorique et Appliquée
1 Indagationes Mathematicae. New Series
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Experimental Mathematics
1 Fractals
1 Annals of Numerical Mathematics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 Lecture Notes in Mathematics
1 ACM Transactions on Algorithms

Publications by Year

Citations contained in zbMATH Open

85 Publications have been cited 926 times in 689 Documents Cited by Year
Possible new strange attractors with spiral structure. Zbl 0485.58013
Arneodo, A.; Coullet, Pierre; Tresser, Charles
105
1981
Itérations d’endomorphismes et groupe de renormalisation. Zbl 0402.54046
Tresser, Charles; Coullet, Pierre
74
1978
Asymptotic chaos. Zbl 0595.58030
Arneodo, A.; Coullet, Pierre H.; Spiegel, E. A.; Tresser, Charles
46
1985
Dynamics of non-ergodic piecewise affine maps of the torus. Zbl 1055.37048
Adler, Roy; Kitchens, Bruce; Tresser, Charles
41
2001
About some theorems by L. P. Šil’nikov. Zbl 0556.58025
Tresser, Charles
41
1984
On entropy and monotonicity for real cubic maps (with an appendix by Adrien Douady and Pierrette Sentenac). Zbl 0971.37007
Milnor, John; Tresser, Charles
40
2000
Oscillators with chaotic behavior: An illustration of a theorem by Shil’nikov. Zbl 0522.58033
Arneodo, A.; Coullet, Pierre; Tresser, Charles
38
1982
Transition to topological chaos for circle maps. Zbl 0596.58027
MacKay, R. S.; Tresser, Charles
37
1986
Some flesh on the skeleton: the bifurcation structure of bimodal maps. Zbl 0626.58038
MacKay, R. S.; Tresser, Charles
30
1987
Strange attractors in Volterra equations for species in competition. Zbl 0489.92017
Arneodo, A.; Coullet, Pierre; Peyraud, J.; Tresser, Charles
24
1982
Hénon-like maps with strange attractors: There exist \(C^{\infty}\) Kupka-Smale diffeomorphisms on \(S^ 2\) with neither sinks nor sources. Zbl 0707.58030
Gambaudo, J. M.; van Strien, Sebastian; Tresser, Charles
22
1989
On the dynamics of quasi-contractions. Zbl 0717.54022
Gambaudo, Jean-Marc; Tresser, Charles
18
1988
Cyclic renormalization and automorphism groups of rooted trees. Zbl 0847.58019
Bass, Hyman; Otero-Espinar, Maria Victoria; Rockmore, Daniel; Tresser, Charles
18
1995
Periods and entropy for Lorenz-like maps. Zbl 0678.34047
Alsedà, L.; Llibre, J.; Misiurewicz, M.; Tresser, Charles
18
1989
Master-slave synchronization from the point of view of global dynamics. Zbl 1055.34506
Tresser, Charles; Worfolk, Patrick A.; Bass, Hyman
17
1995
The gluing bifurcation. I: Symbolic dynamics of the closed curves. Zbl 0656.58023
Gambaudo, J. M.; Glendinning, P.; Tresser, C.
17
1988
Topological horseshoe and numerically observed chaotic behaviour in the Henon mapping. Zbl 0432.58014
Tresser, Charles; Coullet, Pierre; Arneodo, A.
13
1980
A new approach to data storage using localized structures. Zbl 1080.37105
Coullet, P.; Riera, C.; Tresser, C.
12
2004
Splitting words and Lorenz braids. Zbl 0783.58041
Tresser, C.; Williams, R. F.
12
1993
Positive Lyapunov exponent for generic one-parameter families of unimodal maps. Zbl 0821.58015
Thieullen, Ph.; Tresser, C.; Young, L. S.
12
1994
Boundary of topological chaos for bimodal maps of the interval. Zbl 0608.54016
MacKay, R. S.; Tresser, Charles
11
1988
Monotonicity properties of the family of trapezoidal maps. Zbl 0721.58017
Brucks, K. M.; Misiurewicz, M.; Tresser, C.
10
1991
A decoding problem in dynamics and in number theory. Zbl 1055.37557
Siegel, Ralph M.; Tresser, Charles; Zettler, George
10
1992
Topological conjugacy of linear endomorphisms of the 2-torus. Zbl 0947.37027
Adler, Roy; Tresser, Charles; Worfolk, Patrick A.
9
1997
Piecewise linear models for the quasiperiodic transition to chaos. Zbl 1055.37532
Campbell, David K.; Galeeva, Roza; Tresser, Charles; Uherka, David J.
9
1996
Rotation orbits and the Farey tree. Zbl 0862.58016
Goldberg, Lisa; Tresser, Charles
9
1996
Master-slave synchronization and the Lorenz equations. Zbl 0938.37014
Balmforth, Neil; Tresser, Charles; Worfolk, Patrick; Wu, Chai Wah
9
1997
Convex dynamics and applications. Zbl 1076.37537
Adler, R. L.; Kitchens, B.; Martens, M.; Pugh, C.; Shub, M.; Tresser, C.
9
2005
The periodic orbit structure of orientation preserving diffeomorphisms on \(D^ 2\) with topological entropy zero. Zbl 0701.58030
Gambaudo, Jean-Marc; Van Strien, Sebastian; Tresser, Charles
9
1989
Infinite entropy is generic in Hölder and Sobolev spaces. (Propriétés génériques pour des systèmes dynamiques de faible régularité.) Zbl 1382.37015
de Faria, Edson; Hazard, Peter; Tresser, Charles
9
2017
Dynamique régulière ou chaotique. Applications du cercle ou de l’intervalle ayant une discontinuité. (Regular and chaotic dynamics for some circle maps and maps on the interval with a single discontinuity). Zbl 0595.58031
Gambaudo, Jean-Marc; Tresser, Charles
9
1985
Renormalization on the \(n\)-dimensional torus. Zbl 0761.58008
Baladi, V.; Rockmore, D.; Tongring, N.; Tresser, C.
8
1992
Infinite cascades of braids and smooth dynamical systems. Zbl 0803.58046
Gambaudo, J. M.; Sullivan, D.; Tresser, C.
8
1994
A genealogy for finite kneading sequences of bimodal maps on the interval. Zbl 0849.54033
Ringland, John; Tresser, Charles
8
1995
Une remarque sur la structure des endomorphismes de degré 1 du cercle. (A remark on degree one endomorphisms of the circle). Zbl 0584.58004
Chenciner, Alain; Gambaudo, Jean-Marc; Tresser, Charles
8
1984
Simple models for bifurcations creating horseshoes. Zbl 0587.58034
Gambaudo, Jean-Marc; Tresser, Charles
8
1983
Convex dynamics with constant input. Zbl 1246.37068
Adler, R. L.; Nowicki, T.; Świrszcz, G.; Tresser, C.
6
2010
The set of maps \(F_{a,b}:x\mapsto x+a+{b\over 2\pi}\sin(2\pi x)\) with any given rotation interval is contractible. Zbl 0839.58021
Epstein, Adam; Keen, Linda; Tresser, Charles
6
1995
The optimality of the online greedy algorithm in carpool and chairman assignment problems. Zbl 1295.68232
Coppersmith, Don; Nowicki, Tomasz; Paleologo, Giuseppe; Tresser, Charles; Wu, Chai Wah
6
2011
Positive Lyapunov exponents in one parameter families of unimodal mappings. (Exposant de Lyapunov positif dans des familles à un paramètre d’applications unimodales.) Zbl 0786.58026
Thieullen, Philippe; Tresser, Charles; Young, Lai Sang
6
1992
A monotonicity conjecture for real cubic maps. Zbl 0909.54013
Dawson, Silvina P.; Galeeva, Roza; Milnor, John; Tresser, Charles
6
1995
Error diffusion on acute simplices: invariant tiles. Zbl 1377.37026
Adler, Roy; Nowicki, Tomasz; Świrszcz, Grzegorz; Tresser, Charles; Winograd, Shmuel
6
2017
Une nouvelle bifurcation de codimension 2: le collage de cycles. (A new bifurcation of codimension two: the gluing of cycles). Zbl 0582.58026
Coullet, Pierre; Gambaudo, Jean-Marc; Tresser, Charles
6
1984
Self-similar constructions in smooth dynamics: Rigidity, smoothness and dimension. Zbl 0771.58035
Gambaudo, Jean-Marc; Tresser, Charles
5
1992
Diffeomorphisms with infinitely many strange attractors. Zbl 0717.58041
Gambaudo, Jean-Marc; Tresser, Charles
5
1990
Toward a Sarkovskii order for \(C^ 1\) orientation preserving embeddings of the disk. (Vers un ordre de Sarkovskii pour les plongements du disque préservant l’orientation.) Zbl 0808.58034
Gambaudo, Jean-Marc; van Strien, Sebastian; Tresser, Charles
5
1990
On the *-product in kneading theory. Zbl 0880.54025
Brucks, K.; Galeeva, R.; Mumbrú, P.; Rockmore, D.; Tresser, C.
5
1997
Inducing, slopes, and conjugacy classes. Zbl 0889.58031
Galeeva, Roza; Martens, Marco; Tresser, Charles
5
1997
Bifurcation and transition toward stochasticity for dissipative dynamical systems. Zbl 0985.37501
Coullet, P.; Tresser, C.; Arneodo, A.
5
1979
Wandering domains for infinitely renormalizable diffeomorphisms of the disk. Zbl 0843.57016
Bonatti, Christian; Gambaudo, Jean Marc; Lion, Jean Marie; Tresser, Charles
5
1994
Nouveaux types de transitions vers une entropie topologique positive. Zbl 0528.58032
Tresser, Charles
5
1983
Infinitely many moduli of stability at the dissipative boundary of chaos. Zbl 1416.37024
Hazard, P.; Martens, M.; Tresser, C.
5
2018
Dynamique symbolique des rotations. (Symbolic dynamics of rotations). Zbl 0569.58010
Gambaudo, Jean-Marc; Lanford, Oscar III; Tresser, Charles
5
1984
Collage de cycles et suites de Farey. (Gluing of cycles and Farey series). Zbl 0591.58023
Gambaudo, Jean-Marc; Glendinning, Paul; Tresser, Charles
5
1984
A monotonicity property in one dimensional dynamics. Zbl 0779.58015
Gambaudo, Jean Marc; Tresser, Charles
4
1992
On the scaling structure for period doubling. Zbl 1156.37310
Birkhoff, Garrett; Martens, Marco; Tresser, Charles
4
2003
Checkerboard maps. Zbl 1055.37521
Balmforth, N. J.; Spiegel, E. A.; Tresser, C.
4
1995
Forcing of periodic orbits for interval maps and renormalization of piecewise affine maps. Zbl 0864.58035
Martens, Marco; Tresser, Charles
4
1996
Resynchronizing dynamical systems. Zbl 1024.37504
Tresser, Charles; Worfolk, Patrick A.
4
1997
Badly ordered orbits of circle maps. Zbl 0582.54025
MacKay, R. S.; Tresser, Charles
4
1984
Convex dynamics: unavoidable difficulties in bounding some greedy algorithms. Zbl 1080.37104
Nowicki, Tomasz; Tresser, Charles
3
2004
Dense orbits of critical points for the tent map. Zbl 0746.34029
Brucks, Karen M.; Diamond, B.; Otero-Espinar, Maria Victoria; Tresser, Charles
3
1991
Bounding the errors for convex dynamics on one or more polytopes. Zbl 1163.37378
Tresser, Charles
3
2007
A Farey tree organization of locking regions for simple circle maps. Zbl 0847.58020
Brucks, K. M.; Tresser, C.
3
1996
Convex dynamics: Properties of invariant sets. Zbl 1068.37063
Nowicki, Tomasz; Tresser, Charles
3
2004
Sharkovskii’s order for the appearance of superstable cycles in one- parameter families of simple real maps: An elementary proof. Zbl 0542.54037
Arneodo, A.; Ferrero, P.; Tresser, Charles
3
1984
On Sloane’s persistence problem. Zbl 1320.37005
De Faria, Edson; Tresser, Charles
3
2014
Une remarque sur les familles d’endomorphismes de degré 1 du cercle. (A remark on one-parameter families of degree one endomorphisms of the circle). Zbl 0584.58003
Chenciner, Alain; Gambaudo, Jean-Marc; Tresser, Charles
3
1984
The topological conjugacy problem for generalized Hénon mappings: some negative results. Zbl 0596.58026
Tresser, Charles
3
1982
Dynamic of error diffusion on several polytopes. (Dynamique de la diffusion de l’erreur sur plusieurs polytopes.) Zbl 1046.37063
Tresser, Charles
2
2004
Stably nonsynchronizable maps of the plane. Zbl 0917.58014
Le Calvez, Patrice; Martens, Marco; Tresser, Charles; Worfolk, Patrick A.
2
1999
Chaotic signal masking with arbitrarily fine recovery. Zbl 0905.94012
Tresser, C.; Worfolk, P.
2
1997
Critical transition to stochasticity. Zbl 0985.70503
Tresser, C.; Coullet, P.
2
1979
An approach to renormalization on the \(n\)-torus. Zbl 0899.58063
Rockmore, Daniel; Siegel, Ralph; Tongring, Nils; Tresser, Charles
2
1991
Global complexity and essential simplicity. A conjectural picture of the boundary of chaos for smooth endomorphisms of the interval. Zbl 0696.58033
Otero-Espinar, M. V.; Tresser, Charles
2
1989
Un théorème de Sil’nikov en \(C^{1,1}\). Zbl 0522.58034
Tresser, Charles
2
1983
Simple computation of bifurcating invariant circles for mappings. Zbl 0482.58009
Iooss, G.; Arneodo, A.; Coullet, Pierre; Tresser, Charles
2
1981
Stable cycles with complicated structure. Zbl 0641.58020
Gambaudo, J. M.; Glendinning, P.; Tresser, C.
2
1987
Dynamique symbolique des rotations. (Symbolic dynamics of rotations). Zbl 0583.58025
Gambaudo, Jean-Marc; Lanford, Oscar III; Tresser, Charles
2
1984
A phenomenological approach to normal form modeling: a case study in laser induced nematodynamics. Zbl 1097.37054
Toniolo, C.; Russo, G.; Residori, S.; Tresser, C.
1
2005
How much information can one store in a nonequilibrium medium? Zbl 1080.37098
Coullet, P.; Toniolo, C.; Tresser, C.
1
2004
On the geometry of master-slave synchronization. Zbl 1080.37516
Martens, Marco; Pécou, Elisabeth; Tresser, Charles; Worfolk, Patrick
1
2002
Period doubling, entropy, and renormalization. Zbl 0957.37036
Hu, Jun; Tresser, Charles
1
1998
Homeomorphic restrictions of smooth endomorphisms of an interval. Zbl 0756.58044
Brucks, Karen M.; Otero-Espinar, Maria Victoria; Tresser, Charles
1
1992
Dynamique symbolique pour la renormalization des endomorphismes d’entropie nulle de l’intervalle. (Symbolic dynamics for the renormalization of endomorphisms on the unit interval with zero entropy). Zbl 0683.58030
Glendinning, Paul; Los, Jérôme; Otero-Espinar, Maria Victoria; Tresser, Charles
1
1988
Infinitely many moduli of stability at the dissipative boundary of chaos. Zbl 1416.37024
Hazard, P.; Martens, M.; Tresser, C.
5
2018
Infinite entropy is generic in Hölder and Sobolev spaces. (Propriétés génériques pour des systèmes dynamiques de faible régularité.) Zbl 1382.37015
de Faria, Edson; Hazard, Peter; Tresser, Charles
9
2017
Error diffusion on acute simplices: invariant tiles. Zbl 1377.37026
Adler, Roy; Nowicki, Tomasz; Świrszcz, Grzegorz; Tresser, Charles; Winograd, Shmuel
6
2017
On Sloane’s persistence problem. Zbl 1320.37005
De Faria, Edson; Tresser, Charles
3
2014
The optimality of the online greedy algorithm in carpool and chairman assignment problems. Zbl 1295.68232
Coppersmith, Don; Nowicki, Tomasz; Paleologo, Giuseppe; Tresser, Charles; Wu, Chai Wah
6
2011
Convex dynamics with constant input. Zbl 1246.37068
Adler, R. L.; Nowicki, T.; Świrszcz, G.; Tresser, C.
6
2010
Bounding the errors for convex dynamics on one or more polytopes. Zbl 1163.37378
Tresser, Charles
3
2007
Convex dynamics and applications. Zbl 1076.37537
Adler, R. L.; Kitchens, B.; Martens, M.; Pugh, C.; Shub, M.; Tresser, C.
9
2005
A phenomenological approach to normal form modeling: a case study in laser induced nematodynamics. Zbl 1097.37054
Toniolo, C.; Russo, G.; Residori, S.; Tresser, C.
1
2005
A new approach to data storage using localized structures. Zbl 1080.37105
Coullet, P.; Riera, C.; Tresser, C.
12
2004
Convex dynamics: unavoidable difficulties in bounding some greedy algorithms. Zbl 1080.37104
Nowicki, Tomasz; Tresser, Charles
3
2004
Convex dynamics: Properties of invariant sets. Zbl 1068.37063
Nowicki, Tomasz; Tresser, Charles
3
2004
Dynamic of error diffusion on several polytopes. (Dynamique de la diffusion de l’erreur sur plusieurs polytopes.) Zbl 1046.37063
Tresser, Charles
2
2004
How much information can one store in a nonequilibrium medium? Zbl 1080.37098
Coullet, P.; Toniolo, C.; Tresser, C.
1
2004
On the scaling structure for period doubling. Zbl 1156.37310
Birkhoff, Garrett; Martens, Marco; Tresser, Charles
4
2003
On the geometry of master-slave synchronization. Zbl 1080.37516
Martens, Marco; Pécou, Elisabeth; Tresser, Charles; Worfolk, Patrick
1
2002
Dynamics of non-ergodic piecewise affine maps of the torus. Zbl 1055.37048
Adler, Roy; Kitchens, Bruce; Tresser, Charles
41
2001
On entropy and monotonicity for real cubic maps (with an appendix by Adrien Douady and Pierrette Sentenac). Zbl 0971.37007
Milnor, John; Tresser, Charles
40
2000
Stably nonsynchronizable maps of the plane. Zbl 0917.58014
Le Calvez, Patrice; Martens, Marco; Tresser, Charles; Worfolk, Patrick A.
2
1999
Period doubling, entropy, and renormalization. Zbl 0957.37036
Hu, Jun; Tresser, Charles
1
1998
Topological conjugacy of linear endomorphisms of the 2-torus. Zbl 0947.37027
Adler, Roy; Tresser, Charles; Worfolk, Patrick A.
9
1997
Master-slave synchronization and the Lorenz equations. Zbl 0938.37014
Balmforth, Neil; Tresser, Charles; Worfolk, Patrick; Wu, Chai Wah
9
1997
On the *-product in kneading theory. Zbl 0880.54025
Brucks, K.; Galeeva, R.; Mumbrú, P.; Rockmore, D.; Tresser, C.
5
1997
Inducing, slopes, and conjugacy classes. Zbl 0889.58031
Galeeva, Roza; Martens, Marco; Tresser, Charles
5
1997
Resynchronizing dynamical systems. Zbl 1024.37504
Tresser, Charles; Worfolk, Patrick A.
4
1997
Chaotic signal masking with arbitrarily fine recovery. Zbl 0905.94012
Tresser, C.; Worfolk, P.
2
1997
Piecewise linear models for the quasiperiodic transition to chaos. Zbl 1055.37532
Campbell, David K.; Galeeva, Roza; Tresser, Charles; Uherka, David J.
9
1996
Rotation orbits and the Farey tree. Zbl 0862.58016
Goldberg, Lisa; Tresser, Charles
9
1996
Forcing of periodic orbits for interval maps and renormalization of piecewise affine maps. Zbl 0864.58035
Martens, Marco; Tresser, Charles
4
1996
A Farey tree organization of locking regions for simple circle maps. Zbl 0847.58020
Brucks, K. M.; Tresser, C.
3
1996
Cyclic renormalization and automorphism groups of rooted trees. Zbl 0847.58019
Bass, Hyman; Otero-Espinar, Maria Victoria; Rockmore, Daniel; Tresser, Charles
18
1995
Master-slave synchronization from the point of view of global dynamics. Zbl 1055.34506
Tresser, Charles; Worfolk, Patrick A.; Bass, Hyman
17
1995
A genealogy for finite kneading sequences of bimodal maps on the interval. Zbl 0849.54033
Ringland, John; Tresser, Charles
8
1995
The set of maps \(F_{a,b}:x\mapsto x+a+{b\over 2\pi}\sin(2\pi x)\) with any given rotation interval is contractible. Zbl 0839.58021
Epstein, Adam; Keen, Linda; Tresser, Charles
6
1995
A monotonicity conjecture for real cubic maps. Zbl 0909.54013
Dawson, Silvina P.; Galeeva, Roza; Milnor, John; Tresser, Charles
6
1995
Checkerboard maps. Zbl 1055.37521
Balmforth, N. J.; Spiegel, E. A.; Tresser, C.
4
1995
Positive Lyapunov exponent for generic one-parameter families of unimodal maps. Zbl 0821.58015
Thieullen, Ph.; Tresser, C.; Young, L. S.
12
1994
Infinite cascades of braids and smooth dynamical systems. Zbl 0803.58046
Gambaudo, J. M.; Sullivan, D.; Tresser, C.
8
1994
Wandering domains for infinitely renormalizable diffeomorphisms of the disk. Zbl 0843.57016
Bonatti, Christian; Gambaudo, Jean Marc; Lion, Jean Marie; Tresser, Charles
5
1994
Splitting words and Lorenz braids. Zbl 0783.58041
Tresser, C.; Williams, R. F.
12
1993
A decoding problem in dynamics and in number theory. Zbl 1055.37557
Siegel, Ralph M.; Tresser, Charles; Zettler, George
10
1992
Renormalization on the \(n\)-dimensional torus. Zbl 0761.58008
Baladi, V.; Rockmore, D.; Tongring, N.; Tresser, C.
8
1992
Positive Lyapunov exponents in one parameter families of unimodal mappings. (Exposant de Lyapunov positif dans des familles à un paramètre d’applications unimodales.) Zbl 0786.58026
Thieullen, Philippe; Tresser, Charles; Young, Lai Sang
6
1992
Self-similar constructions in smooth dynamics: Rigidity, smoothness and dimension. Zbl 0771.58035
Gambaudo, Jean-Marc; Tresser, Charles
5
1992
A monotonicity property in one dimensional dynamics. Zbl 0779.58015
Gambaudo, Jean Marc; Tresser, Charles
4
1992
Homeomorphic restrictions of smooth endomorphisms of an interval. Zbl 0756.58044
Brucks, Karen M.; Otero-Espinar, Maria Victoria; Tresser, Charles
1
1992
Monotonicity properties of the family of trapezoidal maps. Zbl 0721.58017
Brucks, K. M.; Misiurewicz, M.; Tresser, C.
10
1991
Dense orbits of critical points for the tent map. Zbl 0746.34029
Brucks, Karen M.; Diamond, B.; Otero-Espinar, Maria Victoria; Tresser, Charles
3
1991
An approach to renormalization on the \(n\)-torus. Zbl 0899.58063
Rockmore, Daniel; Siegel, Ralph; Tongring, Nils; Tresser, Charles
2
1991
Diffeomorphisms with infinitely many strange attractors. Zbl 0717.58041
Gambaudo, Jean-Marc; Tresser, Charles
5
1990
Toward a Sarkovskii order for \(C^ 1\) orientation preserving embeddings of the disk. (Vers un ordre de Sarkovskii pour les plongements du disque préservant l’orientation.) Zbl 0808.58034
Gambaudo, Jean-Marc; van Strien, Sebastian; Tresser, Charles
5
1990
Hénon-like maps with strange attractors: There exist \(C^{\infty}\) Kupka-Smale diffeomorphisms on \(S^ 2\) with neither sinks nor sources. Zbl 0707.58030
Gambaudo, J. M.; van Strien, Sebastian; Tresser, Charles
22
1989
Periods and entropy for Lorenz-like maps. Zbl 0678.34047
Alsedà, L.; Llibre, J.; Misiurewicz, M.; Tresser, Charles
18
1989
The periodic orbit structure of orientation preserving diffeomorphisms on \(D^ 2\) with topological entropy zero. Zbl 0701.58030
Gambaudo, Jean-Marc; Van Strien, Sebastian; Tresser, Charles
9
1989
Global complexity and essential simplicity. A conjectural picture of the boundary of chaos for smooth endomorphisms of the interval. Zbl 0696.58033
Otero-Espinar, M. V.; Tresser, Charles
2
1989
On the dynamics of quasi-contractions. Zbl 0717.54022
Gambaudo, Jean-Marc; Tresser, Charles
18
1988
The gluing bifurcation. I: Symbolic dynamics of the closed curves. Zbl 0656.58023
Gambaudo, J. M.; Glendinning, P.; Tresser, C.
17
1988
Boundary of topological chaos for bimodal maps of the interval. Zbl 0608.54016
MacKay, R. S.; Tresser, Charles
11
1988
Dynamique symbolique pour la renormalization des endomorphismes d’entropie nulle de l’intervalle. (Symbolic dynamics for the renormalization of endomorphisms on the unit interval with zero entropy). Zbl 0683.58030
Glendinning, Paul; Los, Jérôme; Otero-Espinar, Maria Victoria; Tresser, Charles
1
1988
Some flesh on the skeleton: the bifurcation structure of bimodal maps. Zbl 0626.58038
MacKay, R. S.; Tresser, Charles
30
1987
Stable cycles with complicated structure. Zbl 0641.58020
Gambaudo, J. M.; Glendinning, P.; Tresser, C.
2
1987
Transition to topological chaos for circle maps. Zbl 0596.58027
MacKay, R. S.; Tresser, Charles
37
1986
Asymptotic chaos. Zbl 0595.58030
Arneodo, A.; Coullet, Pierre H.; Spiegel, E. A.; Tresser, Charles
46
1985
Dynamique régulière ou chaotique. Applications du cercle ou de l’intervalle ayant une discontinuité. (Regular and chaotic dynamics for some circle maps and maps on the interval with a single discontinuity). Zbl 0595.58031
Gambaudo, Jean-Marc; Tresser, Charles
9
1985
About some theorems by L. P. Šil’nikov. Zbl 0556.58025
Tresser, Charles
41
1984
Une remarque sur la structure des endomorphismes de degré 1 du cercle. (A remark on degree one endomorphisms of the circle). Zbl 0584.58004
Chenciner, Alain; Gambaudo, Jean-Marc; Tresser, Charles
8
1984
Une nouvelle bifurcation de codimension 2: le collage de cycles. (A new bifurcation of codimension two: the gluing of cycles). Zbl 0582.58026
Coullet, Pierre; Gambaudo, Jean-Marc; Tresser, Charles
6
1984
Dynamique symbolique des rotations. (Symbolic dynamics of rotations). Zbl 0569.58010
Gambaudo, Jean-Marc; Lanford, Oscar III; Tresser, Charles
5
1984
Collage de cycles et suites de Farey. (Gluing of cycles and Farey series). Zbl 0591.58023
Gambaudo, Jean-Marc; Glendinning, Paul; Tresser, Charles
5
1984
Badly ordered orbits of circle maps. Zbl 0582.54025
MacKay, R. S.; Tresser, Charles
4
1984
Sharkovskii’s order for the appearance of superstable cycles in one- parameter families of simple real maps: An elementary proof. Zbl 0542.54037
Arneodo, A.; Ferrero, P.; Tresser, Charles
3
1984
Une remarque sur les familles d’endomorphismes de degré 1 du cercle. (A remark on one-parameter families of degree one endomorphisms of the circle). Zbl 0584.58003
Chenciner, Alain; Gambaudo, Jean-Marc; Tresser, Charles
3
1984
Dynamique symbolique des rotations. (Symbolic dynamics of rotations). Zbl 0583.58025
Gambaudo, Jean-Marc; Lanford, Oscar III; Tresser, Charles
2
1984
Simple models for bifurcations creating horseshoes. Zbl 0587.58034
Gambaudo, Jean-Marc; Tresser, Charles
8
1983
Nouveaux types de transitions vers une entropie topologique positive. Zbl 0528.58032
Tresser, Charles
5
1983
Un théorème de Sil’nikov en \(C^{1,1}\). Zbl 0522.58034
Tresser, Charles
2
1983
Oscillators with chaotic behavior: An illustration of a theorem by Shil’nikov. Zbl 0522.58033
Arneodo, A.; Coullet, Pierre; Tresser, Charles
38
1982
Strange attractors in Volterra equations for species in competition. Zbl 0489.92017
Arneodo, A.; Coullet, Pierre; Peyraud, J.; Tresser, Charles
24
1982
The topological conjugacy problem for generalized Hénon mappings: some negative results. Zbl 0596.58026
Tresser, Charles
3
1982
Possible new strange attractors with spiral structure. Zbl 0485.58013
Arneodo, A.; Coullet, Pierre; Tresser, Charles
105
1981
Simple computation of bifurcating invariant circles for mappings. Zbl 0482.58009
Iooss, G.; Arneodo, A.; Coullet, Pierre; Tresser, Charles
2
1981
Topological horseshoe and numerically observed chaotic behaviour in the Henon mapping. Zbl 0432.58014
Tresser, Charles; Coullet, Pierre; Arneodo, A.
13
1980
Bifurcation and transition toward stochasticity for dissipative dynamical systems. Zbl 0985.37501
Coullet, P.; Tresser, C.; Arneodo, A.
5
1979
Critical transition to stochasticity. Zbl 0985.70503
Tresser, C.; Coullet, P.
2
1979
Itérations d’endomorphismes et groupe de renormalisation. Zbl 0402.54046
Tresser, Charles; Coullet, Pierre
74
1978
all top 5

Cited by 888 Authors

56 Vaidyanathan, Sundarapandian
41 Tresser, Charles
14 Volos, Christos K.
11 Pham, Viet-Thanh
11 Yang, Xiaosong
10 Azar, Ahmad Taher
9 Bruin, Henk
9 Gambaudo, Jean-Marc
9 Gonchenko, Sergey V.
9 Martens, Marco
9 Misiurewicz, Michał
8 Alsedà, Lluís
8 Kazakov, Alexey O.
8 Wu, Tiantian
7 Catsigeras, Eleonora
7 Glendinning, Paul Alexander
7 Llibre, Jaume
7 Peng, Shouli
7 Rodrigues, Alexandre A. P.
7 van Strien, Sebastian J.
6 Coullet, Pierre H.
6 de Faria, Edson
6 Ibáñez, Santiago
6 Knobloch, Edgar
6 Lowenstein, John H.
6 Simpson, David John Warwick
6 Zhou, Zhong
5 Balmforth, Neil J.
5 Brucks, Karen M.
5 Cao, Kefei
5 Goetz, Arek
5 Jiang, Yunping
5 Letellier, Christophe
5 Levin, Genadi M.
5 Sousa Ramos, José
5 Turaev, Dmitry V.
5 Vivaldi, Franco
4 Adler, Roy Lee
4 Arneodo, Alain
4 Blokh, Alexander M.
4 Boer, Martin P.
4 Carmona, Victoriano
4 Fu, Xinchu
4 Gonchenko, Alexander S.
4 Guiraud, Pierre
4 Jafari, Sajad
4 Jiménez López, Víctor
4 Kahng, Byungik
4 Kooi, Bob W.
4 Labarca, Rafael
4 Lu, Kai
4 Lyubich, Mikhail
4 MacKay, Robert Sinclair
4 Odibat, Zaid M.
4 Pires, Benito
4 Ponce, Enrique
4 Rodríguez, José Angel
4 Shilnikov, Andrey L.
4 Shutov, Anton V.
4 Teruel, Antonio E.
4 Wang, Lei
4 Wang, Qiudong
4 Worfolk, Patrick A.
4 Yang, Qigui
3 Ashwin, Peter
3 Avrutin, Viktor
3 Aziz-Alaoui, Moulay-Ahmed
3 Barge, Marcy M.
3 Bessa, Mário
3 Blé, Gamaliel
3 Chandramouli, V. V. M. S.
3 Chen, Guanrong
3 Clark, Trevor
3 Cosnard, Michel Y.
3 de la Llave, Rafael
3 de Melo, Welington
3 Deng, Bo
3 Drubi, Fátima
3 Epstein, Irving R.
3 Falcó, Antonio
3 Fernández-Sánchez, Fernando
3 Gao, Wen
3 García-Medina, Elisabeth
3 Gardini, Laura
3 Ghrist, Robert W.
3 Glass, Leon
3 Granados, Albert
3 Guarino, Pablo
3 Hazard, Peter
3 Hou, Bingzhe
3 Kokubu, Hiroshi
3 Lukina, Olga
3 Meunier, Claude
3 Meyroneinc, Arnaud
3 Nekrashevych, Volodymyr V.
3 Nogueira, Arnaldo C. R.
3 Osinga, Hinke Maria
3 Ott, William
3 Ovsyannikov, Ivan I.
3 Pikovsky, Arkady S.
...and 788 more Authors
all top 5

Cited in 158 Serials

54 Chaos
50 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
48 Physica D
37 Chaos, Solitons and Fractals
27 Ergodic Theory and Dynamical Systems
26 Communications in Mathematical Physics
18 Journal of Statistical Physics
17 Dynamical Systems
14 Transactions of the American Mathematical Society
14 Topology and its Applications
12 Discrete and Continuous Dynamical Systems
11 Proceedings of the American Mathematical Society
11 Communications in Nonlinear Science and Numerical Simulation
10 Journal of Mathematical Biology
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Nonlinear Dynamics
7 Annales de l’Institut Fourier
7 Journal of Dynamics and Differential Equations
6 Mathematical Biosciences
6 Nonlinearity
6 Journal of Differential Equations
5 Journal of Fluid Mechanics
5 Advances in Mathematics
5 Inventiones Mathematicae
5 Journal of Nonlinear Science
5 Archives of Control Sciences
5 Journal of Difference Equations and Applications
5 Regular and Chaotic Dynamics
4 Mathematical Notes
4 Bulletin of Mathematical Biology
4 Conformal Geometry and Dynamics
3 International Journal of Modern Physics B
3 Applicable Analysis
3 Israel Journal of Mathematics
3 Journal of Mathematical Analysis and Applications
3 Ukrainian Mathematical Journal
3 Duke Mathematical Journal
3 Dynamics and Stability of Systems
3 Bulletin of the American Mathematical Society. New Series
3 Annales de l’Institut Henri Poincaré. Physique Théorique
3 Acta Mathematica Sinica. New Series
3 Indagationes Mathematicae. New Series
3 Journal of Integer Sequences
3 Discrete and Continuous Dynamical Systems. Series B
3 SIAM Journal on Applied Dynamical Systems
3 Journal of Modern Dynamics
3 Nonlinear Analysis. Theory, Methods & Applications
2 Discrete Applied Mathematics
2 Geophysical and Astrophysical Fluid Dynamics
2 Journal d’Analyse Mathématique
2 Journal of the Franklin Institute
2 Applied Mathematics and Computation
2 Boletim da Sociedade Brasileira de Matemática
2 Geometriae Dedicata
2 Publications Mathématiques
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Studies in Applied Mathematics
2 Japan Journal of Applied Mathematics
2 Journal of Complexity
2 European Journal of Applied Mathematics
2 SIAM Review
2 Celestial Mechanics and Dynamical Astronomy
2 Boletim da Sociedade Brasileira de Matemática. Nova Série
2 Experimental Mathematics
2 Abstract and Applied Analysis
2 Lobachevskii Journal of Mathematics
2 Qualitative Theory of Dynamical Systems
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Chebyshevskiĭ Sbornik
2 Groups, Geometry, and Dynamics
2 Arnold Mathematical Journal
1 Acta Mechanica
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 Fluid Dynamics
1 International Journal of Mathematical Education in Science and Technology
1 International Journal of Theoretical Physics
1 Journal of Mathematical Physics
1 Physics Letters. A
1 Physics Reports
1 Studia Mathematica
1 Theoretical and Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics of Computation
1 Theoretical and Computational Fluid Dynamics
1 The Mathematical Intelligencer
1 Functional Analysis and its Applications
1 Indiana University Mathematics Journal
1 Journal of Algebra
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Journal of the Korean Mathematical Society
1 Journal of the Mathematical Society of Japan
1 Monatshefte für Mathematik
1 Pacific Journal of Mathematics
1 RAIRO. Analyse Numérique
1 Theoretical Computer Science
1 Tokyo Journal of Mathematics
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
...and 58 more Serials
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Cited in 49 Fields

506 Dynamical systems and ergodic theory (37-XX)
194 Ordinary differential equations (34-XX)
73 Systems theory; control (93-XX)
57 Biology and other natural sciences (92-XX)
38 General topology (54-XX)
25 Mechanics of particles and systems (70-XX)
23 Measure and integration (28-XX)
23 Fluid mechanics (76-XX)
21 Information and communication theory, circuits (94-XX)
19 Number theory (11-XX)
19 Manifolds and cell complexes (57-XX)
17 Difference and functional equations (39-XX)
16 Group theory and generalizations (20-XX)
15 Partial differential equations (35-XX)
15 Computer science (68-XX)
14 Statistical mechanics, structure of matter (82-XX)
12 Functions of a complex variable (30-XX)
11 Global analysis, analysis on manifolds (58-XX)
10 Real functions (26-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Combinatorics (05-XX)
9 Numerical analysis (65-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Operations research, mathematical programming (90-XX)
5 History and biography (01-XX)
5 Topological groups, Lie groups (22-XX)
5 Convex and discrete geometry (52-XX)
5 Optics, electromagnetic theory (78-XX)
4 Functional analysis (46-XX)
4 Geophysics (86-XX)
3 General and overarching topics; collections (00-XX)
3 Algebraic geometry (14-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Operator theory (47-XX)
3 Algebraic topology (55-XX)
3 Probability theory and stochastic processes (60-XX)
2 Mathematical logic and foundations (03-XX)
2 Commutative algebra (13-XX)
2 Differential geometry (53-XX)
2 Mechanics of deformable solids (74-XX)
2 Quantum theory (81-XX)
1 Field theory and polynomials (12-XX)
1 Special functions (33-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Geometry (51-XX)
1 Statistics (62-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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