A general hybrid model for chaos robust synchronization and degradation reduction

Y Deng, H Hu, N Xiong, W Xiong, L Liu - Information Sciences, 2015 - Elsevier
This paper focuses on the problem of robust synchronization of uncertain continuous chaos
and dynamical degradation of digital chaos. A hybrid model is established based on the …

Complex function projective synchronization of complex chaotic system and its applications in secure communication

S Liu, F Zhang - Nonlinear Dynamics, 2014 - Springer
To develop secure communication, the paper presents complex function projective
synchronization (CFPS) of complex chaotic systems. Aimed to coupled complex chaotic …

[HTML][HTML] Complex modified function projective synchronization of complex chaotic systems with known and unknown complex parameters

J Liu, S Liu - Applied Mathematical Modelling, 2017 - Elsevier
Much progress has been made in the research of modified function projective
synchronization (MFPS) for real (complex) chaotic systems with real parameters. The scaling …

Complex generalized synchronization of complex-variable chaotic systems

X Zhao, J Liu, F Zhang, C Jiang - The European Physical Journal Special …, 2021 - Springer
Dynamical behaviors and generalized synchronization play an important role in chaotic
application. In this paper, bi-stability and the Hamilton energy are discussed in a one …

Compound synchronization for four chaotic systems of integer order and fractional order

J Sun, Q Yin, Y Shen - Europhysics Letters, 2014 - iopscience.iop.org
By combining the tracking control and the stability theory of nonlinear fractional-order
systems, a novel kind of compound synchronization among four chaotic systems of integer …

Adaptive complex modified hybrid function projective synchronization of different dimensional complex chaos with uncertain complex parameters

J Liu, S Liu, JC Sprott - Nonlinear Dynamics, 2016 - Springer
This paper focuses on the adaptive modified hybrid function projective synchronization with
complex function transformation matrix (CMHFPS) for different dimensional chaotic …

On projective synchronization of hyperchaotic complex nonlinear systems based on passive theory for secure communications

GM Mahmoud, EE Mahmoud, AA Arafa - Physica Scripta, 2013 - iopscience.iop.org
In this paper we deal with the projective synchronization (PS) of hyperchaotic complex
nonlinear systems and its application in secure communications based on passive theory …

Adaptive complex modified projective synchronization of complex chaotic (hyperchaotic) systems with uncertain complex parameters

J Liu, S Liu, C Yuan - Nonlinear Dynamics, 2015 - Springer
This paper introduces a new type of synchronization method of adaptive modified projective
synchronization with complex scaling matrix (ACMPS) for two n n-dimensional complex …

[图书][B] Fractal control and its applications

ST Liu, YP Zhang, CA Liu - 2020 - books.google.com
The book focuses on fractal control and applications in various fields. Fractal phenomena
occur in nonlinear models, and since the behaviors depicted by fractals need to be …

[HTML][HTML] Complex modified projective difference function synchronization of coupled complex Chaotic systems for secure communication in WSNs

F Zhang, R Gao, Z Huang, C Jiang, Y Chen, H Zhang - Mathematics, 2022 - mdpi.com
Complex-variable chaotic systems (CVCSs) have numerous advantages over real-variable
chaotic systems in chaos communication due to their increased unpredictability …