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2010, World scientific series on nonlinear science. Series A. Monographs and treatises, ISBN 9814307742, Volume 73, xiii, 342
Book
Neurocomputing, ISSN 0925-2312, 03/2018, Volume 283, pp. 53 - 63
In traditional permutation–substitution architecture type image cipher, the permutation and substitution generally are two independent parts, and the diffusion... 
Image encryption | Chaotic cryptography | Cryptosystem | Henon map | CHAOTIC STANDARD MAP | IMPROVED HYPERCHAOTIC SEQUENCES | ALGORITHM | PIXEL BIT | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | SCHEME | SCRAMBLING ENCRYPTION | CIPHERS | SECURITY | DIFFUSION | CRYPTANALYSIS | Cryptography | Investment analysis | Analysis
Journal Article
Signal Processing, ISSN 0165-1684, 12/2018, Volume 153, pp. 11 - 23
•We propose a novel 2D chaotic map named 2D-HSM, which is generated by connecting Henon map and Sine map. Performance evaluations including phase diagram,... 
DNA sequence | Image encryption | 2D Hénon-Sine map | Diffusion | Permutation | 2D Henon-Sine map | ALGORITHM | SECURE | PERMUTATION-DIFFUSION | CHAOTIC STANDARD | ENGINEERING, ELECTRICAL & ELECTRONIC | Algorithms | Nucleotide sequencing | Analysis | DNA | DNA sequencing
Journal Article
REGULAR & CHAOTIC DYNAMICS, ISSN 1560-3547, 11/2018, Volume 23, Issue 6, pp. 654 - 664
In 1994, Jurgen Moser generalized Henon's area-preserving quadratic map to obtain a normal form for the family of four-dimensional, quadratic, symplectic maps.... 
MATHEMATICS, APPLIED | symplectic maps | STABILITY | Henon map | saddle-center bifurcation | PHYSICS, MATHEMATICAL | invariant tori | Krein bifurcation | CHAOTIC DIFFUSION | MECHANICS | TORI | HAMILTONIAN-SYSTEMS | GLOBAL DYNAMICS | Fixed point theory | Bifurcation theory | Research | Torus (Geometry) | Mathematical research | Mappings (Mathematics)
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 12/2019, Volume 29, Issue 13, p. 1950175
The topological entropy of finite representations of the Hénon map is studied. Efficient methods to compute the topological entropy of finite representations... 
CHAOS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Topological entropy | BOUNDS | MULTIDISCIPLINARY SCIENCES | Henon map | ORBITS | SYMBOLIC DYNAMICS
Journal Article
Regular and Chaotic Dynamics, ISSN 1560-3547, 11/2018, Volume 23, Issue 6, pp. 654 - 664
In 1994, Jürgen Moser generalized Hénon’s area-preserving quadratic map to obtain a normal form for the family of four-dimensional, quadratic, symplectic maps.... 
symplectic maps | saddle-center bifurcation | Mathematics | 37J40 | 70H08 | Dynamical Systems and Ergodic Theory | 37C05 | invariant tori | Hénon map | Krein bifurcation | 34C28
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 07/2016, Volume 26, Issue 8, p. 1650131
This paper introduces a class of polynomial maps in Euclidean spaces, investigates the conditions under which there exist Smale horseshoes and uniformly... 
Smale horseshoe | chaos | polynomial map | Attractor | uniformly hyperbolic set | DIFFEOMORPHISMS | HENON MAPS | MULTIDISCIPLINARY SCIENCES | JACOBIAN CONJECTURE | C-2 | COUPLED-EXPANDING MAPS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | HYPERBOLICITY | DYNAMICS
Journal Article
AEUE - International Journal of Electronics and Communications, ISSN 1434-8411, 08/2017, Volume 78, pp. 265 - 273
Dynamical analysis and chaos control of the fractional order generalized hyperchaotic Henon map is the main contribution of this paper. With a brief... 
Bifurcation | Fractional order | Active control | Discrete chaotic maps | Henon map | TELECOMMUNICATIONS | OSCILLATOR | ENGINEERING, ELECTRICAL & ELECTRONIC | SYNCHRONIZATION | SCHEME | SYSTEMS | DIFFUSION | IMAGE ENCRYPTION
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 11/2018, Volume 509, pp. 955 - 970
Chaotic return maps are widely used to model various dynamical systems such as charged particle movement, laser beam dynamic, celestial body orbiting and many... 
Standard map | Return map | Dynamical systems | Hénon map | Symmetric integration | Chaotic maps | PHYSICS, MULTIDISCIPLINARY | Henon map | MODEL | EXTREME EVENTS
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 11/2016, Volume 334, pp. 133 - 140
We prove John Hubbard’s conjecture on the topological complexity of the hyperbolic horseshoe locus of the complex Hénon map. In fact, we show that there exist... 
Symbolic dynamics | Pruning front | Hénon map | Monodromy | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | Henon map | POLYNOMIAL DIFFEOMORPHISMS | C-2 | AUTOMORPHISMS | CURRENTS | PHYSICS, MATHEMATICAL | FAMILY | SHIFT | DYNAMICS | MAPPINGS
Journal Article
Advances in Difference Equations, ISSN 1687-1839, 12/2019, Volume 2019, Issue 1, pp. 1 - 12
In this paper, we propose a fractional form of a new three-dimensional generalized Henon map and study the existence of chaos and its control. Using... 
Control | Stability | Synchronization | Fractional calculus | Generalized Hénon map | Discrete chaos | MATHEMATICS | CHAOS | MATHEMATICS, APPLIED | RIEMANN | STABILITY ANALYSIS | Generalized Henon map | Bifurcations | Production planning | Liapunov exponents | Synchronism
Journal Article
Advances in Difference Equations, ISSN 1687-1839, 12/2018, Volume 2018, Issue 1, pp. 1 - 14
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 01/2014, Volume 24, Issue 1, pp. 1450005 - 1-1450005-8
The onset and bifurcation points of n-cycles of several polynomial maps are located through a characteristic equation connecting cyclic polynomials of the... 
exact polynomials | Logistic map | cycles | cubic map | Hénon map | LINEAR DIFFERENCE EQUATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | Henon map | MANDELBROT SET | FORMULAS | Bifurcations | Joining | Polynomials | Chaos theory | Mathematical analysis | Logistics
Journal Article
Regular and Chaotic Dynamics, ISSN 1560-3547, 9/2013, Volume 18, Issue 5, pp. 469 - 489
In this paper we consider conservative quadratic Hénon maps and Chirikov’s standard map, and relate them in some sense.First, we present a study of some... 
37J25 | measure of regular and chaotic dynamics domains | accelerator modes | Mathematics | Hénon maps | islands in the standard map for large parameter | Dynamical Systems and Ergodic Theory | 37J10 | 37J45 | Fixed point theory | Research | Quadratic functions | Mappings (Mathematics)
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 09/2013, Volume 23, Issue 9, pp. 1330030 - 1-1330030-13
The quadratic map of the interval displays one attractor for each parameter value. Conservative maps of the plane display infinite coexistence of stability... 
quasi-conservative maps | Heteroclinic loops | Hénon map | coexistence of attractors | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PERIODIC ATTRACTORS | BIFURCATIONS | MULTIDISCIPLINARY SCIENCES | Henon map | RENORMALIZATION | FAMILY | Planes | Aircraft detection | Dissipation | Bifurcations | Displays | Orbits | Islands | Convergence
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 1/2012, Volume 309, Issue 1, pp. 155 - 192
Journal Article
Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 10/2016, Volume 26, Issue 10, p. 103103
We introduce the concepts of perpetual points and periodic perpetual loci in discrete–time systems (maps). The occurrence and analysis of these points/loci are... 
CHAOS | MATHEMATICS, APPLIED | HIDDEN ATTRACTORS | DUFFING OSCILLATOR | ORBITS | SYSTEMS | HENON MAP | LOGISTIC MAP | PHYSICS, MATHEMATICAL | SYMBOLIC DYNAMICS | Physics - Chaotic Dynamics
Journal Article
Multimedia Tools and Applications, ISSN 1380-7501, 10/2018, Volume 77, Issue 19, pp. 25223 - 25251
Journal Article