Journal ArticleDOI
On observer-based secure communication design using discrete-time hyperchaotic systems
TLDR
Numerical simulation results illustrate the efficiency of stabilization conditions and the success of message signal transmission for the considered cryptosystem communication, based on third order generalized hyperchaotic Henon maps as transmitter and receiver key.About:
This article is published in Communications in Nonlinear Science and Numerical Simulation.The article was published on 2014-05-01. It has received 93 citations till now. The article focuses on the topics: Observer (quantum physics) & Cryptosystem.read more
Citations
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A novel no-equilibrium hyperchaotic multi-wing system via introducing memristor
TL;DR: By introducing a flux-controlled memristor into the proposed multi-wing system, hyperchaotic multi-Wing attractor is observed in new memristive system, which has no equilibrium.
Journal ArticleDOI
Secure communication in wireless sensor networks based on chaos synchronization using adaptive sliding mode control
TL;DR: This paper considers the secure communication in wireless sensor networks based on new robust adaptive finite time chaos synchronization approach in the presence of noise and uncertainty by using the modified Chua oscillators to generate the chaotic signals.
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Generating one to four-wing hidden attractors in a novel 4D no-equilibrium chaotic system with extreme multistability
TL;DR: By using a simple state feedback controller in a three-dimensional chaotic system, a novel 4D chaotic system is derived and the unusual and striking dynamic behavior of the coexistence of infinitely many hidden attractors is revealed by selecting the different initial values of the system, which means that extreme multistability arises.
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A new type of hybrid synchronization between arbitrary hyperchaotic maps
TL;DR: A general control scheme is presented based on stability theory of linear discrete-time systems and Lyapunov stability theory, to study the co-existence of inverse projective synchronization, inverse generalized synchronization and Q-S synchronization between arbitrary 3D hyperchaotic maps.
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Multiscroll Hyperchaotic System with Hidden Attractors and Its Circuit Implementation
Xin Zhang,Chunhua Wang +1 more
TL;DR: Based on the study on Jerk chaotic system, a multiscroll hyperchaotic system with hidden attractors is proposed, which has infinite number of equilibriums.
References
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Journal ArticleDOI
Synchronization in chaotic systems
TL;DR: This chapter describes the linking of two chaotic systems with a common signal or signals and highlights that when the signs of the Lyapunov exponents for the subsystems are all negative the systems are synchronized.
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Ergodic theory of chaos and strange attractors
Jean-Pierre Eckmann,David Ruelle +1 more
TL;DR: A review of the main mathematical ideas and their concrete implementation in analyzing experiments can be found in this paper, where the main subjects are the theory of dimensions (number of excited degrees of freedom), entropy (production of information), and characteristic exponents (describing sensitivity to initial conditions).
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Circuit implementation of synchronized chaos with applications to communications.
Kevin M. Cuomo,Alan V. Oppenheim +1 more
TL;DR: An analog circuit implementation of the chaotic Lorenz system is described and used to demonstrate two possible approaches to private communications based on synchronized chaotic systems and a potential approach to communications applications based on signal masking and recovery.
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Synchronizing chaotic circuits
TL;DR: The authors describe the conditions necessary for synchronizing a subsystem of one chaotic system with a separate chaotic system by sending a signal from the chaotic system to the subsystem by sending signals from the Chaos Junction.
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Chaos shift keying: modulation and demodulation of a chaotic carrier using self-synchronizing Chua's circuits
TL;DR: In this article, a technique for transmitting digital information using a chaotic carrier is described, in which each symbol to be transmitted is coded as an attractor in Chua's circuit.