A cubic map chaos criterion theorem with applications in generalized synchronization based pseudorandom number generator and image encryption

DOI10.1063/1.4917380zbMath1374.37054OpenAlexW1834353329WikidataQ50906575 ScholiaQ50906575MaRDI QIDQ4591664

Xiuping Yang, Xue Wang, Lequan Min

Publication date: 17 November 2017

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

Full work available at URL: https://doi.org/10.1063/1.4917380

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Cryptography (94A60) Data encryption (aspects in computer science) (68P25) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Random number generation in numerical analysis (65C10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

A generalized stability theorem for discrete-time nonautonomous chaos system with applications ⋮ On the construction of one-dimensional discrete chaos theory based on the improved version of Marotto's theorem ⋮ Discrete Chaotic Systems with One-Line Equilibria and Their Application to Image Encryption ⋮ Robust chaos of cubic polynomial discrete maps with application to pseudorandom number generators ⋮ A 2D hyperchaotic map with conditional symmetry and attractor growth ⋮ Boundary-Crisis-Induced Complex Bursting Patterns in a Forced Cubic Map

Cites Work

• Chaos generalized synchronization of an inertial tachometer with new Mathieu-Van der Pol systems as functional system by GYC partial region stability theory
• A novel image encryption algorithm based on a 3D chaotic map
• Chaos, feedback control and synchronization of a fractional-order modified autonomous Van der Pol-Duffing circuit
• Experimental study on impulsive synchronization between two modified Chua's circuits
• A new criterion for chaos and hyperchaos synchronization using linear feedback control
• Parameter estimation only from the symbolic sequences generated by chaos system
• Global chaos synchronization of new chaotic systems via nonlinear control
• Compound synchronization of four memristor chaotic oscillator systems and secure communication
• Spread spectrum communication system with chaotic frequency modulation
• A new chaotic communication scheme based on adaptive synchronization
• Period Three Implies Chaos
• Synchronization in chaotic systems
• Adaptive synchronization of a switching system and its applications to secure communications
• Unnamed Item
• Unnamed Item