NAC-based Synchronisation and Anti-synchronisation Between Hyperchaotic and Chaotic Systems, Its Analogue Circuit Design and Application

ABSTRACT

The objectives of this paper are synchronisation and anti-synchronisation between a hyperchaotic and a chaotic systems using nonlinear active control (NAC) scheme, its analogue circuit design and application to secure communication. Hyperchaotic Lorenz–Stenflo system is used as a master and the chaotic (a hyperchaotic system in its chaotic state) Chen system is used as a slave in this paper. Chaotic slave system is controlled to make it synchronised and anti-synchronised with the hyperchaotic master system by designing a modified NAC law via suitable forcing. Proposed scheme is applied in communication to ensure more security of the message signal through hyperchaotic masking. The MATLAB environment is used to simulate synchronisation, anti-synchronisation of the proposed hyperchaotic-chaotic pair using the modified NAC law and its application to secure communication application. The simulation results reflect the successful achievement of the objectives. Further, analogue circuit designs of the hyperchaotic Lorenz–Stenflo, the chaotic Chen systems as well as their synchronisation and anti-synchronisation of proposed pair using modified NAC are presented in this paper and realised in NI Multisim. NI Multisim circuit realisation results validate the simulation results and the fulfilment of the desired objectives of the paper.

KEYWORDS:

• Analogue circuit design
• Anti-synchronisation
• Chaotic system
• Hyperchaotic system
• Nonlinear active control
• Secure communication
• Synchronisation

DISCLOSURE STATEMENT

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

Piyush P. Singh

Piyush P. Singh was born in Gorakhpur, India in December 1989. He received the bachelor of technology degree in ECE from Institute of Engineering and Technology, Dr. R. M. L. Avadh University Faizabad, Uttar-Pradesh, in 2008 and the master of technology in signal processing and control under Department of Electrical Engineering from National Institute of Technology Hamirpur, Himachal Pradesh, in 2012. He received PhD degree in control and industrial automation under Department of Electrical Engineering from National Institute of Technology Silchar, Assam in the year 2016. Presently, he is serving as an assistant professor in the Department of Electrical Engineering, National Institute of Technology Meghalaya, Shillong, Meghalaya. His research interest includes nonlinear dynamics and chaos control.

Email: [email protected]

Jay P. Singh

Jay P. Singh was born in Sasaram, Bihar, India in March 1987. He received the BTech degree in electrical engineering from the BPUT Orissa, in 2010 and MTech degree in control and industrial automation under Department of Electrical Engineering in 2014 at NIT Silchar, Assam. Currently, he is pursuing PhD degree in control and industrial automation under the Department of Electrical Engineering from National Institute of Technology Silchar, Assam, India.

Email: [email protected]

Binoy K. Roy

Binoy K. Roy received the BE degree in electrical engineering from National Institute of Technology (formerly known as Regional Engineering College) Silchar, Assam, India, in 1985. MTech degree in control system and PhD degree in ‘Fault Detection and Diagnosis of Dynamical Systems’ were received from IIT Kharagpur, India in 1989 and 1998, respectively. Currently, he is a professor with the National Institute of Technology, Silchar, Assam, India. His research interest includes the control systems, nonlinear dynamics and chaos control, virtual instrumentation, fault detection and diagnosis of dynamical systems, image processing and computer vision, and industrial automation. He has published several papers in reputed journals.

Email: [email protected]