The q-deformed Tinkerbell map

DOI10.1063/1.5048798zbMath1403.37059OpenAlexW2898640051WikidataQ90005828 ScholiaQ90005828MaRDI QIDQ4560273

Janaki Balakrishnan, Sudharsana V. Iyengar

Publication date: 10 December 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5048798

zbMATH Keywords

Tinkerbell mapsecure encryption and decryption

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Bifurcations of singular points in dynamical systems (37G10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items

On the dynamics of the \(q\)-deformed logistic map, Image encryption using \(q\)-deformed logistic map, Dynamical analysis and encryption key-distribution application of new q-deformed reduced Lorenz system, On the dynamics of the \(q\)-deformed Puu's model with cubic investment map

Uses Software

• Dynamics

Cites Work

• Unnamed Item
• Firefly algorithm approach based on chaotic tinkerbell map applied to multivariable PID controller tuning
• The hydra effect, bubbles, and chaos in a simple discrete population model with constant effort harvesting
• The infinite number of generalized dimensions of fractals and strange attractors
• A fast chaotic cryptographic scheme with dynamic look-up table
• On super-chaotifying discrete dynamical systems
• Kinetic approach to fractional exclusion statistics
• Possible generalization of Boltzmann-Gibbs statistics.
• Cryptography with chaos
• A \(q\)-deformed nonlinear map
• DYNAMICAL BEHAVIOR OF q-DEFORMED HENON MAP
• EXPERIMENTAL DEMONSTRATION OF SECURE COMMUNICATIONS VIA CHAOTIC SYNCHRONIZATION
• Asymptotic angular stability in non-linear systems: rotation numbers and winding numbers
• Classifying and quantifying basins of attraction
• BIFURCATION AND CHAOS IN THE TINKERBELL MAP
• Synchronization in chaotic systems
• Crises, sudden changes in chaotic attractors, and transient chaos
• Tinkerbell Is Chaotic
• Chaos
• Estimating the Lyapunov exponents of discrete systems
• Towards complete detection of unstable periodic orbits in chaotic systems
• A modified chaotic cryptographic method