The three versions of distributional chaos. Zbl 1069.37013
Balibrea, F.; Smítal, J.; Štefánková, M. |
|
2005
|
Recent developments in dynamical systems: three perspectives. Zbl 1202.37003
Balibrea, F.; Caraballo, T.; Kloeden, P. E.; Valero, J. |
|
2010
|
Minimal sets on graphs and dendrites. Zbl 1056.37050
Balibrea, Francisco; Hric, Roman; Snoha, Ľubomír |
|
2003
|
Weak mixing and chaos in nonautonomous discrete systems. Zbl 1246.39004
Balibrea, Francisco; Oprocha, Piotr |
|
2012
|
Lagrangian descriptors for two dimensional, area preserving, autonomous and nonautonomous maps. Zbl 1457.37037
Lopesino, Carlos; Balibrea, Francisco; Wiggins, Stephen; Mancho, Ana M. |
|
2015
|
The measure of scrambled sets: A survey. Zbl 0967.37021
Balibrea, Francisco; Jiménéz López, Víctor |
|
1999
|
Almost totally disconnected minimal systems. Zbl 1176.37008
Balibrea, Francisco; Downarowicz, Tomasz; Hric, Roman; Snoha, Ľubomír; Špitalský, Vladimír |
|
2009
|
On problems of topological dynamics in non-autonomous discrete systems. Zbl 1379.37041
Balibrea, Francisco |
|
2016
|
Iteration theory: dynamical systems and functional equations. Zbl 1056.37003
Balibrea, F.; Reich, L.; Smítal, J. |
|
2003
|
On \(\omega\)-limit sets of antitriangular maps. Zbl 1042.54026
Balibrea, F.; Linero, A.; Cánovas, José S. |
|
2004
|
Topological entropy of Devaney chaotic maps. Zbl 1026.37002
Balibrea, Francisco; Snoha, Ľubomír |
|
2003
|
On forbidden sets. Zbl 1326.39002
Balibrea, Francisco; Cascales, Antonio |
|
2015
|
A triangular map on \(I^2\) whose \(\omega\)-limit sets are all compact intervals of \(\{ 0\}\times I\). Zbl 1090.37009
Balibrea, Francisco; García Guirao, J. L.; Muñoz Casado, J. L. |
|
2002
|
Local bifurcations of continuous dynamical systems under higher order conditions. Zbl 1180.37114
Balibrea, F.; Martinez, A.; Valverde, Jose C. |
|
2010
|
Strong distributional chaos and minimal sets. Zbl 1175.37034
Balibrea, F.; Smítal, J. |
|
2009
|
A characterization of the \(\omega\)-limit sets of planar continuous dynamical systems. Zbl 0913.34039
Balibrea, Francisco; López, Victor Jiménez |
|
1998
|
Dynamics of a Lotka-Volterra map. Zbl 1107.37032
Balibrea, Francisco; Guirao, Juan Luis García; Lampart, Marek; Llibre, Jaume |
|
2006
|
Generalized specification property and distributional chaos. Zbl 1056.37006
Balibrea, F.; Schweizer, B.; Sklar, A.; Smítal, J. |
|
2003
|
On negative limit sets for one-dimensional dynamics. Zbl 1242.37028
Balibrea, Francisco; Dvorníková, Gabriela; Lampart, Marek; Oprocha, Piotr |
|
2012
|
Commutativity and non-commutativity of topological sequence entropy. Zbl 0990.37010
Balibrea, Francisco; Cánovas Peña, Jose Salvador; Jiménez López, Víctor |
|
1999
|
Some results on entropy and sequence entropy. Zbl 1089.37501
Balibrea, F.; Jiménez López, V.; Cánovas Peña, J. S. |
|
1999
|
On the global periodicity of some difference equations of third order. Zbl 1130.39003
Balibrea, F.; Linero, A. |
|
2007
|
Periodic structure of \(\sigma\)-permutations maps on \(I^n\). Zbl 0991.37016
Balibrea, Francisco; Linero, Antonio |
|
2001
|
Description of \(\omega\)-limit sets of a triangular map on \(I^2\). Zbl 1132.37313
Balibrea, Francisco; García Guirao, J. L.; Muñoz Casado, J. I. |
|
2001
|
Global periodicity of \(x_{n+k+1}=f_k(x_{n+k})\dots f_2(x_{n+2})f_1(x_{n+1})\). Zbl 1127.39004
Balibrea, F.; Linero Bas, A.; López, G. Soler; Stević, S. |
|
2007
|
On the periodic structure of delayed difference equations of the form \(x_n= f(x_{n-k})\) on \(I\) and \(\mathbb{S}^1\). Zbl 1030.39005
Balibrea, F.; Linero, A. |
|
2003
|
Some new results and open problems on periodicity of difference equations. Zbl 1132.39003
Balibrea, Francisco; Linero, Antonio |
|
2006
|
Smooth triangular maps of type \(2^ \infty\) with positive topological entropy. Zbl 0886.58044
Bailbrea, Francisco; Esquembre, Francisco; Linero, Antonio |
|
1995
|
Minimal sets of antitriangular maps. Dynamical systems and functional equations (Murcia, 2000). Zbl 1056.37005
Balibrea, F.; Linero, A.; Canovas, J. S. |
|
2003
|
Taming chaos in damped driven systems by incommensurate excitations. Zbl 1464.37055
Chacón, R.; Miralles, J. J.; Martínez, J. A.; Balibrea, F. |
|
2019
|
On invariant \(\varepsilon \)-scrambled sets. Zbl 1202.37016
Balibrea, Francisco; Guirao, Juan L. G.; Oprocha, Piotr |
|
2010
|
On dimension of attractors of differential inclusions and reaction-diffusion equations. Zbl 0963.37075
Balibrea, Francisco; Valero, José |
|
1999
|
Role of nonlinear dissipation in the suppression of chaotic escape from a potential well. Zbl 0972.70021
Chacón, R.; Balibrea, F.; López, M. A. |
|
2001
|
Inhibition of chaotic escape from a potential well using small parametric modulations. Zbl 0862.34029
Chacón, Ricardo; Balibrea, F.; López, M. A. |
|
1996
|
Periodic structure of \(\sigma\)-permutation maps. II: The case \({\mathbb T}^n\). Zbl 1138.37304
Balibrea, Francisco; Linero, Antonio |
|
2002
|
A triangular map of type \(2^{\infty}\) with positive topological entropy on a minimal set. Zbl 1213.37019
Balibrea, F.; Smítal, J.; Štefánková, M. |
|
2011
|
A chaotic continuous map generates all probability distributions. Zbl 0794.60009
Balibrea, F.; Smítal, J. |
|
1993
|
On generic properties of nonautonomous dynamical systems. Zbl 1395.37013
Balibrea, Francisco; Smítal, Jaroslav; Štefánková, Marta |
|
2018
|
Topological equivalences for one-parameter bifurcations of scalar maps. Zbl 1381.37029
Balibrea, Francisco; Oliveira, Henrique M.; Valverde, Jose C. |
|
2017
|
On open problems concerning distributional chaos for triangular maps. Zbl 1223.37015
Balibrea, F.; Smítal, J.; Štefánková, M. |
|
2011
|
Continua with empty interior as \(\omega\)-limit sets. Zbl 1107.37015
Balibrea, Francisco; García-Guirao, Juan Luis |
|
2005
|
A triangular map with homoclinic orbits and no infinite \(\omega\)-limit set containing periodic points. Zbl 1094.37019
Balibrea, F.; Smítal, J. |
|
2006
|
A characterization of the \(\omega\)-limit sets of interval maps. Zbl 0970.37029
Balibrea, F.; La Paz, C. |
|
2000
|
A characterization of chaotic functions with entropy zero via their maximal scrambled sets. Zbl 0852.54039
Balibrea, Francisco; Jiménez López, Víctor |
|
1995
|
Some results on topological dynamics of antitriangular maps. Zbl 0973.37010
Balibrea, F.; Linero, A. |
|
2000
|
Studies on dendrites and the periodic-recurrent property. Zbl 1229.37035
Balibrea, Francisco |
|
2010
|
Reshaping-induced order-chaos routes in a damped driven Helmholtz oscillator. Zbl 1076.70015
Balibrea, F.; Chacón, R.; López, M. A. |
|
2005
|
Stability of orbits via Lyapunov exponents in autonomous and nonautonomous systems. Zbl 1275.37015
Balibrea, Francisco; Caballero, M. Victoria |
|
2013
|
Inhibition of chaotic escape by an additional driven term. Zbl 0973.70508
Balibrea, Francisco; Chacón, Ricardo; López, Miguel Angel |
|
1998
|
Maximal scrambled sets for chaotic functions with topological entropy zero. Zbl 0918.58050
Balibrea, Francisco; Jiménez López, Víctor |
|
1996
|
New results on topological dynamics of antitriangular maps. Zbl 0994.37020
Balibrea, F.; Cánovas, J. S.; Linero, A. |
|
2001
|
On global periodicity of \(x_{n+2}= f(x_{n+1},x_n)\). Zbl 1127.39005
Balibrea, F.; Linero, A. |
|
2007
|
Recurrence quantification analysis in Liu’s attractor. Zbl 1142.37026
Balibrea, Francisco; Caballero, M. Victoria; Molera, Lourdes |
|
2008
|
A simple non-autonomous system with complicated dynamics. Zbl 1222.37018
Balibrea, F.; Chacón, R. |
|
2011
|
Cusp and generalized flip bifurcations under higher degree conditions. Zbl 1032.34038
Balibrea, F.; Valverde, J. C. |
|
2003
|
Some results on sequential entropy. Zbl 0942.28017
Balibrea, Francisco; Cánovas Peña, José Salvador; Jiménez López, Víctor |
|
1998
|
Eventually positive solutions in rational difference equations. Zbl 1268.39009
Balibrea, Francisco; Cascales, Antonio |
|
2012
|
Thirty years after Sharkovskii’s theorem: new perspectives. Proceedings of the conference, Murcia, Spain, June 13–18, 1994.
Reprint of the International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5, No. 5 (1995). Zbl 0897.58001
|
|
1995
|
Local stability of continuous dynamical systems in the presence of nonhyperbolic equilibria. Zbl 1167.34332
Balibrea, F.; Martinez, A.; Valverde, J. C. |
|
2009
|
Estimates of dimension of attractors of reaction-diffusion equations in the non-differentiable case. Zbl 0904.35104
Balibrea, Francisco; Valero, José |
|
1997
|
A characterization of the set \(\Omega(f)\setminus \omega(f)\) for continuous maps of the interval with zero topological entropy. Zbl 0879.26017
Balibrea, F.; Smítal, J. |
|
1995
|
Topological normal forms of high degree for the simplest bifurcations. Zbl 1004.37031
Balibrea, Francisco; Valverde, Jose C. |
|
2001
|
Structural stability under conditions of nonhyperbolicity. Zbl 0986.37039
Balibrea, F.; Valverde, J. C. |
|
2001
|
A characterization of the set \(\Omega(f)\setminus \omega(f)\) for continuous maps of the interval with zero topological entropy. Zbl 0886.58019
Balibrea, F.; Smítal, J. |
|
1995
|
Dynamical systems and functional equations. Papers from the 13th European conference on iteration theory (ECIT 2000), Murcia, Spain, September 4–9, 2000. Zbl 1423.37005
|
|
2003
|
Dynamical systems generating large sets of probability distribution functions. Zbl 1349.37011
Balibrea, F.; Smítal, J.; Štefánková, M. |
|
2014
|
Local distributional chaos. Zbl 1506.37051
Balibrea, Francisco; Rucká, Lenka |
|
2022
|
Local distributional chaos. Zbl 1506.37051
Balibrea, Francisco; Rucká, Lenka |
|
2022
|
Taming chaos in damped driven systems by incommensurate excitations. Zbl 1464.37055
Chacón, R.; Miralles, J. J.; Martínez, J. A.; Balibrea, F. |
|
2019
|
On generic properties of nonautonomous dynamical systems. Zbl 1395.37013
Balibrea, Francisco; Smítal, Jaroslav; Štefánková, Marta |
|
2018
|
Topological equivalences for one-parameter bifurcations of scalar maps. Zbl 1381.37029
Balibrea, Francisco; Oliveira, Henrique M.; Valverde, Jose C. |
|
2017
|
On problems of topological dynamics in non-autonomous discrete systems. Zbl 1379.37041
Balibrea, Francisco |
|
2016
|
Lagrangian descriptors for two dimensional, area preserving, autonomous and nonautonomous maps. Zbl 1457.37037
Lopesino, Carlos; Balibrea, Francisco; Wiggins, Stephen; Mancho, Ana M. |
|
2015
|
On forbidden sets. Zbl 1326.39002
Balibrea, Francisco; Cascales, Antonio |
|
2015
|
Dynamical systems generating large sets of probability distribution functions. Zbl 1349.37011
Balibrea, F.; Smítal, J.; Štefánková, M. |
|
2014
|
Stability of orbits via Lyapunov exponents in autonomous and nonautonomous systems. Zbl 1275.37015
Balibrea, Francisco; Caballero, M. Victoria |
|
2013
|
Weak mixing and chaos in nonautonomous discrete systems. Zbl 1246.39004
Balibrea, Francisco; Oprocha, Piotr |
|
2012
|
On negative limit sets for one-dimensional dynamics. Zbl 1242.37028
Balibrea, Francisco; Dvorníková, Gabriela; Lampart, Marek; Oprocha, Piotr |
|
2012
|
Eventually positive solutions in rational difference equations. Zbl 1268.39009
Balibrea, Francisco; Cascales, Antonio |
|
2012
|
A triangular map of type \(2^{\infty}\) with positive topological entropy on a minimal set. Zbl 1213.37019
Balibrea, F.; Smítal, J.; Štefánková, M. |
|
2011
|
On open problems concerning distributional chaos for triangular maps. Zbl 1223.37015
Balibrea, F.; Smítal, J.; Štefánková, M. |
|
2011
|
A simple non-autonomous system with complicated dynamics. Zbl 1222.37018
Balibrea, F.; Chacón, R. |
|
2011
|
Recent developments in dynamical systems: three perspectives. Zbl 1202.37003
Balibrea, F.; Caraballo, T.; Kloeden, P. E.; Valero, J. |
|
2010
|
Local bifurcations of continuous dynamical systems under higher order conditions. Zbl 1180.37114
Balibrea, F.; Martinez, A.; Valverde, Jose C. |
|
2010
|
On invariant \(\varepsilon \)-scrambled sets. Zbl 1202.37016
Balibrea, Francisco; Guirao, Juan L. G.; Oprocha, Piotr |
|
2010
|
Studies on dendrites and the periodic-recurrent property. Zbl 1229.37035
Balibrea, Francisco |
|
2010
|
Almost totally disconnected minimal systems. Zbl 1176.37008
Balibrea, Francisco; Downarowicz, Tomasz; Hric, Roman; Snoha, Ľubomír; Špitalský, Vladimír |
|
2009
|
Strong distributional chaos and minimal sets. Zbl 1175.37034
Balibrea, F.; Smítal, J. |
|
2009
|
Local stability of continuous dynamical systems in the presence of nonhyperbolic equilibria. Zbl 1167.34332
Balibrea, F.; Martinez, A.; Valverde, J. C. |
|
2009
|
Recurrence quantification analysis in Liu’s attractor. Zbl 1142.37026
Balibrea, Francisco; Caballero, M. Victoria; Molera, Lourdes |
|
2008
|
On the global periodicity of some difference equations of third order. Zbl 1130.39003
Balibrea, F.; Linero, A. |
|
2007
|
Global periodicity of \(x_{n+k+1}=f_k(x_{n+k})\dots f_2(x_{n+2})f_1(x_{n+1})\). Zbl 1127.39004
Balibrea, F.; Linero Bas, A.; López, G. Soler; Stević, S. |
|
2007
|
On global periodicity of \(x_{n+2}= f(x_{n+1},x_n)\). Zbl 1127.39005
Balibrea, F.; Linero, A. |
|
2007
|
Dynamics of a Lotka-Volterra map. Zbl 1107.37032
Balibrea, Francisco; Guirao, Juan Luis García; Lampart, Marek; Llibre, Jaume |
|
2006
|
Some new results and open problems on periodicity of difference equations. Zbl 1132.39003
Balibrea, Francisco; Linero, Antonio |
|
2006
|
A triangular map with homoclinic orbits and no infinite \(\omega\)-limit set containing periodic points. Zbl 1094.37019
Balibrea, F.; Smítal, J. |
|
2006
|
The three versions of distributional chaos. Zbl 1069.37013
Balibrea, F.; Smítal, J.; Štefánková, M. |
|
2005
|
Continua with empty interior as \(\omega\)-limit sets. Zbl 1107.37015
Balibrea, Francisco; García-Guirao, Juan Luis |
|
2005
|
Reshaping-induced order-chaos routes in a damped driven Helmholtz oscillator. Zbl 1076.70015
Balibrea, F.; Chacón, R.; López, M. A. |
|
2005
|
On \(\omega\)-limit sets of antitriangular maps. Zbl 1042.54026
Balibrea, F.; Linero, A.; Cánovas, José S. |
|
2004
|
Minimal sets on graphs and dendrites. Zbl 1056.37050
Balibrea, Francisco; Hric, Roman; Snoha, Ľubomír |
|
2003
|
Iteration theory: dynamical systems and functional equations. Zbl 1056.37003
Balibrea, F.; Reich, L.; Smítal, J. |
|
2003
|
Topological entropy of Devaney chaotic maps. Zbl 1026.37002
Balibrea, Francisco; Snoha, Ľubomír |
|
2003
|
Generalized specification property and distributional chaos. Zbl 1056.37006
Balibrea, F.; Schweizer, B.; Sklar, A.; Smítal, J. |
|
2003
|
On the periodic structure of delayed difference equations of the form \(x_n= f(x_{n-k})\) on \(I\) and \(\mathbb{S}^1\). Zbl 1030.39005
Balibrea, F.; Linero, A. |
|
2003
|
Minimal sets of antitriangular maps. Dynamical systems and functional equations (Murcia, 2000). Zbl 1056.37005
Balibrea, F.; Linero, A.; Canovas, J. S. |
|
2003
|
Cusp and generalized flip bifurcations under higher degree conditions. Zbl 1032.34038
Balibrea, F.; Valverde, J. C. |
|
2003
|
Dynamical systems and functional equations. Papers from the 13th European conference on iteration theory (ECIT 2000), Murcia, Spain, September 4–9, 2000. Zbl 1423.37005
|
|
2003
|
A triangular map on \(I^2\) whose \(\omega\)-limit sets are all compact intervals of \(\{ 0\}\times I\). Zbl 1090.37009
Balibrea, Francisco; García Guirao, J. L.; Muñoz Casado, J. L. |
|
2002
|
Periodic structure of \(\sigma\)-permutation maps. II: The case \({\mathbb T}^n\). Zbl 1138.37304
Balibrea, Francisco; Linero, Antonio |
|
2002
|
Periodic structure of \(\sigma\)-permutations maps on \(I^n\). Zbl 0991.37016
Balibrea, Francisco; Linero, Antonio |
|
2001
|
Description of \(\omega\)-limit sets of a triangular map on \(I^2\). Zbl 1132.37313
Balibrea, Francisco; García Guirao, J. L.; Muñoz Casado, J. I. |
|
2001
|
Role of nonlinear dissipation in the suppression of chaotic escape from a potential well. Zbl 0972.70021
Chacón, R.; Balibrea, F.; López, M. A. |
|
2001
|
New results on topological dynamics of antitriangular maps. Zbl 0994.37020
Balibrea, F.; Cánovas, J. S.; Linero, A. |
|
2001
|
Topological normal forms of high degree for the simplest bifurcations. Zbl 1004.37031
Balibrea, Francisco; Valverde, Jose C. |
|
2001
|
Structural stability under conditions of nonhyperbolicity. Zbl 0986.37039
Balibrea, F.; Valverde, J. C. |
|
2001
|
A characterization of the \(\omega\)-limit sets of interval maps. Zbl 0970.37029
Balibrea, F.; La Paz, C. |
|
2000
|
Some results on topological dynamics of antitriangular maps. Zbl 0973.37010
Balibrea, F.; Linero, A. |
|
2000
|
The measure of scrambled sets: A survey. Zbl 0967.37021
Balibrea, Francisco; Jiménéz López, Víctor |
|
1999
|
Commutativity and non-commutativity of topological sequence entropy. Zbl 0990.37010
Balibrea, Francisco; Cánovas Peña, Jose Salvador; Jiménez López, Víctor |
|
1999
|
Some results on entropy and sequence entropy. Zbl 1089.37501
Balibrea, F.; Jiménez López, V.; Cánovas Peña, J. S. |
|
1999
|
On dimension of attractors of differential inclusions and reaction-diffusion equations. Zbl 0963.37075
Balibrea, Francisco; Valero, José |
|
1999
|
A characterization of the \(\omega\)-limit sets of planar continuous dynamical systems. Zbl 0913.34039
Balibrea, Francisco; López, Victor Jiménez |
|
1998
|
Inhibition of chaotic escape by an additional driven term. Zbl 0973.70508
Balibrea, Francisco; Chacón, Ricardo; López, Miguel Angel |
|
1998
|
Some results on sequential entropy. Zbl 0942.28017
Balibrea, Francisco; Cánovas Peña, José Salvador; Jiménez López, Víctor |
|
1998
|
Estimates of dimension of attractors of reaction-diffusion equations in the non-differentiable case. Zbl 0904.35104
Balibrea, Francisco; Valero, José |
|
1997
|
Inhibition of chaotic escape from a potential well using small parametric modulations. Zbl 0862.34029
Chacón, Ricardo; Balibrea, F.; López, M. A. |
|
1996
|
Maximal scrambled sets for chaotic functions with topological entropy zero. Zbl 0918.58050
Balibrea, Francisco; Jiménez López, Víctor |
|
1996
|
Smooth triangular maps of type \(2^ \infty\) with positive topological entropy. Zbl 0886.58044
Bailbrea, Francisco; Esquembre, Francisco; Linero, Antonio |
|
1995
|
A characterization of chaotic functions with entropy zero via their maximal scrambled sets. Zbl 0852.54039
Balibrea, Francisco; Jiménez López, Víctor |
|
1995
|
Thirty years after Sharkovskii’s theorem: new perspectives. Proceedings of the conference, Murcia, Spain, June 13–18, 1994.
Reprint of the International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5, No. 5 (1995). Zbl 0897.58001
|
|
1995
|
A characterization of the set \(\Omega(f)\setminus \omega(f)\) for continuous maps of the interval with zero topological entropy. Zbl 0879.26017
Balibrea, F.; Smítal, J. |
|
1995
|
A characterization of the set \(\Omega(f)\setminus \omega(f)\) for continuous maps of the interval with zero topological entropy. Zbl 0886.58019
Balibrea, F.; Smítal, J. |
|
1995
|
A chaotic continuous map generates all probability distributions. Zbl 0794.60009
Balibrea, F.; Smítal, J. |
|
1993
|