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Proceedings of the American Mathematical Society, ISSN 0002-9939, 12/2019, Volume 147, Issue 12, pp. 5339 - 5348
We prove that the set of maps which exhibit distributional chaos of type 1 (DC1) is C^0-dense in the space of continuous self-maps of given any compact... 
MATHEMATICS | MATHEMATICS, APPLIED | topological manifold | entropy | Distributional chaos | limit shadowing | TOPOLOGICAL-ENTROPY
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 09/2012, Volume 45, Issue 9-10, pp. 1188 - 1191
We show that in the class T of the triangular maps (x,y)↦(f(x),gx(y)) of the square there is a map with zero topological entropy which is Li-Yorke chaotic on a... 
DISTRIBUTIONAL CHAOS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 01/2014, Volume 256, Issue 2, pp. 475 - 502
The main aim of this article is to show that maps with the specification property have invariant distributionally scrambled sets and that this kind of... 
Symbolic dynamics | Factor map | Invariant scrambled set | Poincaré map | Distributional chaos | Secondary | Primary | MATHEMATICS | ISOLATING SEGMENTS | SETS | Poincare map | FIXED-POINT INDEX | Computer science
Journal Article
Journal of Difference Equations and Applications, ISSN 1023-6198, 12/2015, Volume 21, Issue 12, pp. 1200 - 1211
Journal Article
Discrete and Continuous Dynamical Systems- Series A, ISSN 1078-0947, 05/2018, Volume 38, Issue 5, pp. 2527 - 2539
For piecewise monotonic maps the notion of approximating distribution function is introduced. It is shown that for a mixing basic set it coincides with the... 
Interval map | Distribution function | Basic set | Perturbation | Distributional chaos | Piecewise monotonic map | SPECTRAL DECOMPOSITION | MATHEMATICS | basic set | CHAOS | MATHEMATICS, APPLIED | perturbation | interval map | piecewise monotonic map | SYSTEMS | distribution function
Journal Article
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, ISSN 1007-5704, 08/2012, Volume 17, Issue 8, pp. 3169 - 3176
For interval maps and also for graph maps, every omega-limit set is a subset of a maximal one. In this note we construct a continuous map on a dendrite with no... 
SPECTRAL DECOMPOSITION | MATHEMATICS, APPLIED | DISTRIBUTIONAL CHAOS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | Graph | Maximal omega-limit set | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | Dendrite | Intervals | Construction | Maps | Computer simulation | Graphs | Nonlinearity | Mathematical models | Dendritic structure
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 2011, Volume 74, Issue 18, pp. 7342 - 7346
We show that in the class T of the triangular maps ( x , y ) ↦ ( f ( x ) , g x ( y ) ) of the square there is a map of type 2 ∞ with non-minimal recurrent... 
Minimal set | Triangular maps | Recurrent points | Distributional chaos | Topological entropy | INTERVAL | MATHEMATICS | MATHEMATICS, APPLIED | TOPOLOGICAL-ENTROPY | Approximation | Maps | Metric space | Classification | Nonlinearity | Entropy | Trajectories | Topology
Journal Article
Journal of Statistical Physics, ISSN 0022-4715, 01/2015, Volume 158, Issue 2, pp. 476 - 493
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 12/2012, Volume 45, Issue 12, pp. 1566 - 1572
We give an example of a triangular map of the unit square containing a minimal Li–Yorke chaotic set and such that, in the whole system, there are no DC3-pairs.... 
DYNAMICS | DISTRIBUTIONAL CHAOS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MINIMAL SETS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL
Journal Article
Chaos, Solitons and Fractals, ISSN 0960-0779, 2008, Volume 37, Issue 2, pp. 517 - 524
In the class T of triangular maps of the square we consider the strongest notion of distributional chaos, DC1, originally introduced by Schweizer and Smítal... 
INTERVAL | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | ZERO TOPOLOGICAL-ENTROPY
Journal Article
Journal of Statistical Physics, ISSN 0022-4715, 1/2015, Volume 158, Issue 2, pp. 476 - 493
In infinite ergodic theory, two distributional limit theorems are well-known. One is characterized by the Mittag-Leffler distribution for time averages of... 
Physical Chemistry | Theoretical, Mathematical and Computational Physics | Anomalous diffusion | Infinite ergodic theory | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Distributional limit theorem | Physics
Journal Article
Nonlinear Analysis, Theory, Methods and Applications, ISSN 0362-546X, 09/2010, Volume 73, Issue 6, pp. 1663 - 1669
For a continuous map of the interval, there are more than 50 conditions characterizing zero topological entropy. Some are applicable to the class of triangular... 
Recurrence | Triangular map | Li-Yorke chaos | Distributional chaos | Topological entropy | Approximation of trajectories | INTERVAL | MATHEMATICS, APPLIED | SQUARE | MINIMAL SETS | PERIODIC POINTS | MATHEMATICS | OMEGA-LIMIT SET | DYNAMICS | Intervals | Maps | Equivalence | Chaos theory | Classification | Nonlinearity | Entropy
Journal Article
ARPN Journal of Engineering and Applied Sciences, 06/2018, Volume 13, Issue 11, pp. 3626 - 3634
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 2010, Volume 73, Issue 6, pp. 1663 - 1669
For a continuous map of the interval, there are more than 50 conditions characterizing zero topological entropy. Some are applicable to the class of triangular... 
Recurrence | Triangular map | Distributional chaos | Topological entropy | Li–Yorke chaos | Approximation of trajectories
Journal Article
Journal of Difference Equations and Applications, ISSN 1023-6198, 06/2008, Volume 14, Issue 6, pp. 597 - 606
The dynamics of triangular (or skew-product) maps of the square, given by became interesting since 1979 when Kloeden proved that Sharkovsky's theorem on... 
54H20. Secondary 26A18 | dynamical systems | 37B40 | skew-product | Sharkovsky's theorem | 37B55 | Primary 37B20 | 37D45 | triangular maps | Triangular maps | Dynamical systems | Skew-product | SPECTRAL DECOMPOSITION | MATHEMATICS, APPLIED | DISTRIBUTIONAL CHAOS | OMEGA-LIMIT-SETS | ENTROPY
Journal Article
ZOOTAXA, ISSN 1175-5326, 07/2019, Volume 4634, Issue 1, pp. 1 - 67
A synopsis of the 13 species of Phyllogomphoides Belle, 1970 known to occur within Mexico is presented. Taxonomic keys for males are based primarily on... 
taxonomic keys | ZOOLOGY | distributional maps | INSTAR | LARVA | Anisoptera | description | Maps | Taxonomy | New records | Photographs | Females | Males | Aquatic insects | Synopsis | Appendages
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 08/2013, Volume 37, Issue 14-15, pp. 7499 - 7503
For a class of discrete-time FIFO queueing systems with D-MAP (discrete-time Markovian arrival process), we present a distributional Little's law that relates... 
Distributional Little's law | Discrete-time queue | Discrete-time Markovian arrival process | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | STREAMS | ENGINEERING, MULTIDISCIPLINARY | FORM | SERVICE TIMES | MAP/D/K SYSTEM | Law | Arrivals | Customers | Markov processes | Queues | Mathematical models | Models | Modelling
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 08/2015, Volume 77, pp. 291 - 295
The concept of A-coupled-expanding maps is one of the more natural and useful ideas generalized from the horseshoe map which is commonly known as a criterion... 
Chaos | Coupled-expanding map | Distributional chaos | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MAPS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 08/2013, Volume 37, Issue 14-15, pp. 7499 - 7503
For a class of discrete-time FIFO queueing systems with D-MAP (discrete-time Markovian arrival process), we present a distributional Little’s law that relates... 
Discrete-time queue | Discrete-time Markovian arrival process | Distributional Little’s law
Journal Article
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