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Optics Express, ISSN 1094-4087, 05/2017, Volume 25, Issue 10, pp. 10911 - 10924
Time delay signature (TDS) of a semiconductor laser subject to dispersive optical feedback from a chirped fibre Bragg grating (CFBG) is investigated... 
DYNAMICS | OPTICAL FEEDBACK | OPTICS | CONCEALMENT | OUTPUT | RANDOM BIT GENERATION | Physics - Optics
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 01/2017, Volume 290, Issue 1, pp. 50 - 56
We provide an answer to a question raised by S. Amat, S. Busquier, S. Plaza on the qualitative analysis of the dynamics of a certain third order Newton type... 
periodic points | Primary: 37N30; Secondary: 37D45 | chaos | Newton’s approximation method | 37E15 | third order | MATHEMATICS | Newton's approximation method
Journal Article
Nature Communications, ISSN 2041-1723, 12/2017, Volume 8, Issue 1, p. 19
Understanding the interplay of order and disorder in chaos is a central challenge in modern quantitative science. Approximate linear representations of... 
OBSERVER SYNTHESIS | ORDER | TIME-SERIES ANALYSIS | NONLINEAR-SYSTEMS | MULTIDISCIPLINARY SCIENCES | TURBULENCE | KOOPMAN OPERATOR | SPECTRAL PROPERTIES | IDENTIFICATION | ALMOST-INVARIANT SETS | DYNAMIC-MODE DECOMPOSITION
Journal Article
Inventiones mathematicae, ISSN 0020-9910, 12/2019, Volume 218, Issue 3, pp. 853 - 888
We study the dynamics of smooth interval maps with non-flat critical points. For every such a map that is topologically exact, we establish the full (level-2)... 
37A50 | 37C40 | Mathematics, general | 37D45 | Mathematics | 37D25 | 37E05 | Dynamic tests | Fractals | Critical point | Maps | Deviation
Journal Article
Chaos, Solitons & Fractals, ISSN 0960-0779, 02/2020, Volume 131, p. 109416
Journal Article
Nonlinearity, ISSN 0951-7715, 05/2016, Volume 29, Issue 7, pp. 1942 - 1972
When computing a trajectory of a dynamical system, influence of noise can lead to large perturbations which can appear, however, with small probability. Then... 
chain-mixing | ergodic pseudo-orbit Mathematics Subject Classification numbers: Primary 37B05; Secondary 54H20, 37B20, 37D45, 37C50 | average shadowing property | FORMS | MATHEMATICS, APPLIED | DYNAMICAL-SYSTEMS | PROPERTY | ergodic pseudo-orbit | SPECIFICATION | PHYSICS, MATHEMATICAL
Journal Article
Journal of Dynamics and Differential Equations, ISSN 1040-7294, 6/2019, Volume 31, Issue 2, pp. 601 - 652
Journal Article
Journal of Difference Equations and Applications, ISSN 1023-6198, 05/2017, Volume 23, Issue 5, pp. 965 - 982
We study the existence of Smale horseshoes of new type and the uniformly hyperbolic invariant sets for a class of non-invertible maps in three-dimensional... 
non-invertible | Fullshift | Smale horseshoe | 37D20 | 37D45 | hyperbolic set
Journal Article
Dynamical Systems, ISSN 1468-9367, 10/2019, Volume 34, Issue 4, pp. 710 - 728
Let be a flow, which means that X is a compact metric space and T is a group action on X and let , and be the sets of all nonempty compact subsets of X, all... 
54H20 | transitivity | Li-Yorke sensitivity | 37D45 | sensitivity | Fuzzy set | equicontinuity | Metric space | Fuzzy sets | Sensitivity
Journal Article
American Psychologist, ISSN 0003-066X, 12/2013, Volume 68, Issue 9, pp. 801 - 813
Journal Article
Bulletin of the Australian Mathematical Society, ISSN 0004-9727, 2019, Volume 100, Issue 1, pp. 76 - 85
We analyse local aspects of chaos for nonautonomous periodic dynamical systems in the context of generating autonomous dynamical systems and the possibility of... 
secondary 37B55 | 2010 Mathematics subject classification | 37D45 | primary 26A18 | 57N40 | MATHEMATICS | period | chaos | nonautonomous discrete dynamical system | disruption | chaotic point
Journal Article
Journal of Statistical Physics, ISSN 0022-4715, 2/2019, Volume 174, Issue 3, pp. 536 - 547
We consider the classical geometric Lorenz attractors, showing that the SRB entropy admits $$\gamma $$ γ -Hölder continuity for any $$0<\gamma <1$$ 0 < γ < 1 . 
Physical Chemistry | Theoretical, Mathematical and Computational Physics | 37A35 | 37D45 | Quantum Physics | 37D35 | Geometric Lorenz attractor | Hölder continuity | SRB entropy | Physics | Statistical Physics and Dynamical Systems | STATISTICAL STABILITY | Holder continuity | INVARIANT-MEASURES | CONTINUITY | ANOSOV | DIFFERENTIABILITY | PHYSICS, MATHEMATICAL | METRIC ENTROPY
Journal Article
Advanced Nonlinear Studies, ISSN 1536-1365, 10/2017, Volume 17, Issue 4, pp. 793 - 818
This paper discusses a high-orderMelnikov method for periodically perturbed equations. We introduce a new method to computeM(k)(t(0)) for all k >= 0,... 
High-Order Melnikov Method | Transversal Homoclinic Intersection | Time-Periodic Equation | MATHEMATICS | MATHEMATICS, APPLIED | BIFURCATIONS
Journal Article
Nonlinearity, ISSN 0951-7715, 04/2018, Volume 31, Issue 5, pp. 2057 - 2082
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 6/2013, Volume 274, Issue 1, pp. 603 - 612
In this article we answer in the negative the question of whether hypercyclicity is sufficient for distributional chaos for a continuous linear operator (we... 
Irregular vectors | Distributional chaos | Hypercyclic operators | 47A16 | Mathematics, general | 37D45 | Mathematics | MATHEMATICS
Journal Article
Bulletin of the London Mathematical Society, ISSN 0024-6093, 04/2017, Volume 49, Issue 2, pp. 351 - 367
We prove the existence of a contracting invariant topological foliation in a full neighbourhood for partially hyperbolic attractors. Under certain bunching... 
37A25 | 37D45 (secondary) | 37D30 (primary) | MATHEMATICS | SHAPE | LORENZ ATTRACTOR | BIFURCATION | Mathematics - Dynamical Systems
Journal Article
Mathematische Annalen, ISSN 0025-5831, 8/2013, Volume 356, Issue 4, pp. 1471 - 1491
We consider the case of hyperbolic basic sets $$\Lambda $$ of saddle type for holomorphic maps $$f:{\mathbb{P }}^2{\mathbb{C }}\rightarrow {\mathbb{P... 
32H50 | Mathematics, general | 37D45 | 37F10 | Mathematics | 37D35 | 37F15
Journal Article
Qualitative Theory of Dynamical Systems, ISSN 1575-5460, 4/2018, Volume 17, Issue 1, pp. 219 - 227
This note proves that an iterated function system is chain transitive (resp., chain mixing, transitive) if and only if the step skew product corresponding to... 
37D45 | Mathematics | Primary 37B05 | Transitivity | Iterated function system (IFS) | 37C50 | Secondary 54H20 | 37B20 | Average shadowing property | Chain transitivity | Difference and Functional Equations | Mathematics, general | Dynamical Systems and Ergodic Theory | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Fundamenta Mathematicae, ISSN 0016-2736, 2014, Volume 224, Issue 3, pp. 241 - 278
We study relations between the almost specification property, the asymptotic average shadowing property and the average shadowing property for dynamical... 
Chain mixing | Average shadowing property | Shadowing | Pseudo-orbit | Asymptotic average shadowing property | MATHEMATICS | asymptotic average shadowing property | pseudo-orbit | DYNAMICAL-SYSTEMS | average shadowing property | chain mixing | TOPOLOGICAL-ENTROPY | shadowing | Mathematics - Dynamical Systems
Journal Article
Journal of Difference Equations and Applications, ISSN 1023-6198, 07/2018, Volume 24, Issue 7, pp. 1126 - 1144
This paper focuses on chaos induced by snap-back repellers in non-autonomous discrete systems. A new concept of snap-back repeller for non-autonomous discrete... 
Chaos | snap-back repeller | 37B10 | 37B55 | 37D45 | weak coupled-expansion | non-autonomous discrete system | MATHEMATICS, APPLIED | MAPS | BANACH-SPACES | Discrete systems | Warships
Journal Article
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