Seven Dimensional New Hyperchatic Systems: Dynamics and Synchronization by a High Gain Observer Design

Lagmiri, S.N.; Amghar, Mustapha; Sbiti, N.

doi:10.14257/ijca.2017.10.1.23

Cited by 6 publications

(6 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The equilibrium points of the novel hyperchaotic system (1) are obtained by solving the nonlinear equations [14]: …”

Section: Equilibria and Lyapunov Exponentsmentioning

confidence: 99%

“…Chaos synchronization as stabilization consists in finding a control command that leads the trajectories of a dynamical error system to the origin [14]. …”

Section: Definitionmentioning

confidence: 99%

“…Major works on synchronization of chaotic systems deal with the synchronization by high gain observer [11] which has the goal of using the output of the mastersystem to control the slave system so that the output of the slave system tracks theoutput of the master system asymptotically [2].…”

mentioning

confidence: 99%

See 2 more Smart Citations

New Eight Dimensional Hyperchaotic Cryptosystem

Lagmiri¹,

Elalami²,

Elalami³

2017

IJCA

View full text Add to dashboard Cite

“…The equilibrium points of the novel hyperchaotic system (1) are obtained by solving the nonlinear equations [14]: …”

Section: Equilibria and Lyapunov Exponentsmentioning

confidence: 99%

“…Chaos synchronization as stabilization consists in finding a control command that leads the trajectories of a dynamical error system to the origin [14]. …”

Section: Definitionmentioning

confidence: 99%

See 1 more Smart Citation

New Eight Dimensional Hyperchaotic Cryptosystem

Lagmiri¹,

Elalami²,

Elalami³

2017

IJCA

View full text Add to dashboard Cite

“…Their research extended to the implementation of a secure communication scheme based on chaotic modulation, emphasizing real-world applications. Laghmiri et al [23] contributed to the field by constructing two new 7D hyperchaotic systems. Their comprehensive study delved into the dynamics and synchronization possibilities of these systems, expanding the understanding of higher-dimensional chaotic behaviors.…”

Section: Introductionmentioning

confidence: 99%

A new 7D memristor-based hyperchaotic system and its application to secret information transmission

Kopp

2024

Preprint

View full text Add to dashboard Cite

This work presents a new seven-dimensional (7D) chaotic system based on a fluxcontrolled memristor, which we consider in two versions. The first version of a 7D memristive chaotic system describes self-excited attractors. In the second version, in a 7D memristive chaotic system, hidden attractors can arise by adjusting the values of one constant parameter. A study was conducted on both types of innovative 7D dynamic systems to determine Lyapunov exponents, construct bifurcation diagrams, and identify equilibrium points and the corresponding stability conditions for each system. As a result of computer modeling of 7D hyperchaotic systems in Matlab-Simulink, phase portraits were obtained for self-excited and hidden strange attractors. Finally, electronic circuits for new 7D chaos generators with different types of attractors were built using Multisim software, which showed behavior similar to the Matlab-Simulink models. The synchronization problem for both identical 7D hyperchaotic memristive systems was investigated using the active control method. For practical applications, a method of chaotic encryption and decryption of an information signal was developed and numerically tested.

show abstract

“…Alattas et al [ 9 ] proposed of the synchronization problem of hyperchaotic systems using integral-type sliding mode control for the 6-D hyperchaotic systems and presented of the analog electronic circuit using MultiSIM. Lagmiri et al [ 10 ] constructed of the two new 7D hyperchaotic systems and to investigate the dynamics and synchronization of these new systems using the theory of observers. Kang et al [ 11 ] proposed a color image encryption method combining with 2D-VMD and 8D hyperchaotic system.…”

Section: Introductionmentioning

confidence: 99%

A new 10-D hyperchaotic system with coexisting attractors and high fractal dimension: Its dynamical analysis, synchronization and circuit design

Benkouider

Bouden

Sambas³

et al. 2022

PLoS ONE

View full text Add to dashboard Cite

This work introduce a new high dimensional 10-D hyperchaotic system with high complexity and many of coexisting attractors. With the adjustment of its parameters and initial points, the novel system can generate periodic, quasi-periodic, chaotic, and hyperchaotic behaviours. For special values of parameters, we show that the proposed 10-D system has a very high Kaplan-Yorke fractal dimension, which can reach up to 9.067 indicating the very complexity of the 10-D system dynamics. In addition, the proposed system is shown to exhibit at least six varied attractors for the same values of parameters due to its multistability. Regions of multistability are identified by analysing the bifurcation diagrams of the proposed model versus its parameters and for six different values of initial points. Many of numerical plots are given to show the appearance of different dynamical behaviours and the existence of multiple coexisting attractors. The main problem with controlling chaos/hyperchaos systems is that they are not always fully synchronized. therefore, some powerful synchronization techniques should be considered. The synchronization between the high-dimensional 10-D system and a set of three low-dimensional chaotic and hyperchaotic systems is proposed. Ten control functions are designed using the active control method, ensuring synchronisation between the collection of systems and the 10-D hyperchaotic system. Finally, using Multisim 13.0 software to construct the new system’s electronic circuit, the feasibility of the new system with its extremely complicated dynamics is verified. Therefore, the novel 10-D hyperchaotic system can be applied to different chaotic-based application due to its large dimension, complex dynamics, and simple circuit architecture.

show abstract

Seven Dimensional New Hyperchatic Systems: Dynamics and Synchronization by a High Gain Observer Design

Abstract: Abstract

Cited by 6 publications

References 7 publications

New Eight Dimensional Hyperchaotic Cryptosystem

New Eight Dimensional Hyperchaotic Cryptosystem

A new 7D memristor-based hyperchaotic system and its application to secret information transmission

A new 10-D hyperchaotic system with coexisting attractors and high fractal dimension: Its dynamical analysis, synchronization and circuit design

Contact Info

Product

Resources

About