An Improved Gumowski–Mira Map with Symmetric Lyapunov Exponents

DOI10.1142/S0218127422500997zbMath1502.37098OpenAlexW4282945616MaRDI QIDQ5090079

Shukai Duan, Hang Shi, Musha Ji'e, Lidan Wang, Dengwei Yan

Publication date: 15 July 2022

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127422500997

zbMATH Keywords

chaotic mapimage encryptionhardware implementationcoexisting attractorsymmetric Lyapunov exponent

Mathematics Subject Classification ID

Data encryption (aspects in computer science) (68P25) Analytic circuit theory (94C05) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Dynamical systems in numerical analysis (37N30)

Cites Work

• Coexisting multi-stable patterns in memristor synapse-coupled Hopfield neural network with two neurons
• The amplitude, frequency and parameter space boosting in a memristor-meminductor-based circuit
• A two-dimensional mapping with a strange attractor
• A self-adaptive chaos and Kalman filter-based particle swarm optimization for economic dispatch problem
• The fractional Chua chaotic system: dynamics, synchronization, and application to secure communications
• Synchronization of chaotic-type delayed neural networks and its application
• Fractal sorting matrix and its application on chaotic image encryption
• Generating multicluster conservative chaotic flows from a generalized Sprott-A system
• Interpreting initial offset boosting via reconstitution in integral domain
• Analysis of basins of attraction of new coupled hidden attractor system
• The unified image encryption algorithm based on chaos and cubic S-box
• Modelling of both energy and volume conservative chaotic systems and their mechanism analyses
• Minimal digital chaotic system
• Self-reproducing chaos and bursting oscillation analysis in a meminductor-based conservative system
• Two Simplest Quadratic Chaotic Maps Without Equilibrium
• Megastability, Multistability in a Periodically Forced Conservative and Dissipative System with Signum Nonlinearity
• A 2D hyperchaotic map with conditional symmetry and attractor growth
• A New Class of Two-Dimensional Chaotic Maps with Closed Curve Fixed Points

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