Intermittent evolution routes to the periodic or the chaotic orbits in Rulkov map

2021 ◽  
Vol 31 (9) ◽  
pp. 093119
Author(s):  
Penghe Ge ◽  
Hongjun Cao
Keyword(s):  
Chaotic Orbits

scholarly journals System to Safeguard the Identity of Persons in Photographs through Cryptography and Steganography Techniques Using Chaos

2018 ◽  
Vol 2018 ◽  
pp. 1-16
Author(s):  
Octavio Flores Siordia ◽  
Juan Carlos Estrada Gutiérrez ◽  
Carlos Eduardo Padilla Leyferman ◽  
Jorge Aguilar Santiago ◽  
Maricela Jiménez Rodríguez
Keyword(s):  
High Sensitivity ◽  
Encryption Algorithm ◽  
Coding System ◽  
Secret Key ◽  
Least Significant Bit ◽  
Large Space ◽  
Plain Text ◽  
Chaotic Orbits ◽  
Diffusion Technique ◽  
Plain Image

Safeguarding the identity of people in photographs or videos published through social networks or television is of great importance to those who do not wish to be recognized. In this paper, a face detecting and coding system is designed with the goal of solving this problem. Mathematical models to generate chaotic orbits are deployed. One of them applies the diffusion technique to scramble the pixels of each face while another implements the confusion technique to alter the relation between plain text and ciphered text. Afterward, another two orbits are utilized for the steganography technique to modify the least significant bit (LSB) to conceal data that would allow authorized users to decipher the faces. To verify the robustness of the proposed encryption algorithm, different tests are performed with the Lena standard image, such as correlation diagrams, histograms, and entropy. In addition, occlusion, noise, and plain image attacks are performed. The results are compared with those of other works, and the proposed system provided high sensitivity at secret key and a large space for the encryption keys, good speed for ciphering, disorder in the cryptogram, security, data integrity, and robustness against different attacks.

scholarly journals Chaotic orbits in a galaxy model with a massive nucleus

2003 ◽  
Vol 399 (3) ◽  
pp. 957-960 ◽  
Author(s):  
N. D. Caranicolas ◽  
N. J. Papadopoulos
Keyword(s):  
Chaotic Orbits ◽  
Galaxy Model

scholarly journals Periodic and Chaotic Orbits of Plane-Confined Micro-rotors in Creeping Flows

2015 ◽  
Vol 25 (5) ◽  
pp. 1111-1123 ◽  
Author(s):  
Enkeleida Lushi ◽  
Petia M. Vlahovska
Keyword(s):  
Chaotic Orbits ◽  
Creeping Flows

scholarly journals Effect of Chaotic Orbits on Dynamical Friction

1999 ◽  
Vol 172 ◽  
pp. 399-400
Author(s):  
Sofía A. Cora ◽  
M. Marcela Vergne ◽  
Juan C. Muzzio
Keyword(s):  
Stellar System ◽  
Compact Object ◽  
Dynamical Friction ◽  
Density Distributions ◽  
System A ◽  
Chaotic Orbits ◽  
Orbital Decay ◽  
The Galaxy ◽  
Similar Density ◽  
Central Concentration

When a body moves through a medium of smaller particles, it suffers a deceleration due to dynamical friction (Chandrasekhar 1943). Dynamical friction is inversely proportional to the relaxation time, which can be defined as the time needed for the orbits to experiment an energy exchange of the order of their initial energies, as a result of the perturbations produced by stellar encounters. Chaotic orbits, present in non-integrable systems, have exponential sensitivity to perturbations, a feature that makes them to relax in a time much shorter than regular ones, which suggests that dynamical friction would increase in the presence of chaotic orbits (Pfenniger 1986). We present preliminary results of numerical experiments used to check this idea, investigating the orbital decay, caused by dynamical friction, of a rigid satellite which moves within a larger stellar system (a galaxy) whose potential is non-integrable. Triaxial models with similar density distributions but different percentages of chaotic orbits are considered. This last quantity depends on the central concentration of the models. If the potential corresponds to triaxial mass models with smooth cores, the regular orbits have shapes that can be identified with one of the four families of regular orbits in Stäckel potentials (box and three types of tubes). Chaotic orbits behave very much like regular orbits for hundreds of oscillations at least. In this case, the galaxy is represented by the triaxial generalization of the γ-models with γ = 0 (Merritt & Fridman 1996). However, the situation is very different in triaxial models with divergent central densities (cusps) or black holes, a feature that is in agreement with the observations. While the tube orbits are not strongly affected by central divergencies, the boxlike orbits are often rendered chaotic (Gerhard & Binney 1985). The rimescale in which the chaos manifests itself in the orbital motion is short compared to a Hubble time. In this models, the compact object is taken as a Plummer sphere.

Full rubs, bouncing and quasi chaotic orbits in rotating equipment

1990 ◽  
Vol 327 (1) ◽  
pp. 25-47 ◽  
Author(s):  
F.K. Choy ◽  
J. Padovan ◽  
J.C. Yu
Keyword(s):  
Chaotic Orbits ◽  
Rotating Equipment

Measure of chaotic orbits for standard map

1993 ◽  
Vol 2 (7) ◽  
pp. 481-489
Author(s):  
Chen Shi-gang ◽  
Wang You-qin
Keyword(s):  
Standard Map ◽  
Chaotic Orbits

Synchronization of chaotic orbits: The influence of unstable periodic orbits

1993 ◽  
Vol 48 (3) ◽  
pp. R1620-R1623 ◽  
Author(s):  
Neelima Gupte ◽  
R. E. Amritkar
Keyword(s):  
Periodic Orbits ◽  
Unstable Periodic Orbits ◽  
Chaotic Orbits
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