Dynamics and SC-CNN circuit implementation of a periodically forced non-smooth mechanical system

Luo, Tianqi; Wang, Zheng

doi:10.1007/s11071-016-2665-9

Cited by 7 publications

(2 citation statements)

References 66 publications

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“…CNN (SC-CNN). Many studies have been reported on designing and implementation of chaotic circuits in terms of SC-CNNs 68,69,72 . The advantages of a SC-CNN are that they are inductorless and are RC based circuitry only, thereby leading to the realization of hardware and VLSI implementations 73 .…”

Section: Sc-cnn Cell Of Murali-lakshmanan-chua's (Mlc) Circuitmentioning

confidence: 99%

Realization of all logic gates and memory latch in the SC-CNN cell of the simple nonlinear MLC circuit

Ashokkumar,

Aravindh,

Venkatesan

et al. 2021

Preprint

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We investigate the State-Controlled Cellular Neural Network (SC-CNN) framework of Murali-Lakshmanan-Chua (MLC) circuit system subjected to two logical signals. By exploiting the attractors generated by this circuit in different regions of phase-space, we show that the nonlinear circuit is capable of producing all the logic gates, namely OR, AND, NOR, NAND, Ex-OR and Ex-NOR gates available in digital systems. Further the circuit system emulates three-input gates and Set-Reset flip-flop logic as well. Moreover, all these logical elements and flip-flop are found to be tolerant to noise. These phenomena are also experimentally demonstrated. Thus our investigation to realize all logic gates and memory latch in a nonlinear circuit system paves the way to replace or complement the existing technology with a limited number of hardware.

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Section: Sc-cnn Cell Of Murali-lakshmanan-chua's (Mlc) Circuitmentioning

confidence: 99%

Realization of all logic gates and memory latch in the SC-CNN cell of the simple nonlinear MLC circuit

Ashokkumar,

Aravindh,

Venkatesan

et al. 2021

Preprint

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“…Chaotic systems must have one positive Lyapunov exponents while Hyperchaotic systems must have at least two positive Lyapunov ex ponents, and the dimension must be four or more [8]. Chaotic sys tems are suitable for some engineering applications, such as chem ical reactions, electric circuits [9], cryptography [10,11] and fluid dynamics and secure communication [12,13,14].…”

Section: Introductionmentioning

confidence: 99%

Projective Synchronization of a 3D Chaotic System with Quadratic and Quartic Nonlinearities

Idowu

Oyeleke

Ogabi

et al. 2020

JRRS

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Introduction: In this work, the projective synchronization of two identical three dimensional chaotic system with quadratic and quartic non linearities was considered as well as the equilibrium and stability analysis of the system. The projective synchronization with same and different scaling factor was carried out for this category of system to show its feasibility in order to establish that no matter the type and number of nonlinearities, projective synchronization can be achieved. Numerical simulations was done to verify the above. In all kinds of chaos synchronization, projective synchronization (PS), characterized by a scaling factor that two systems synchronize proportionally, is one of the most interesting problems. It was first reported by Mainieri et al [1] , where it was stated that the two identical systems (master and slave) could be synchronized up to a scaling factor, . They further stated that the scaling factor was dependent on the chaotic evolution and initial conditions so that the ultimate state of projective synchronization was unpredictable. Aims: Is to achieve projective synchronization of two identical three Dimensional chaotic system with quadratic and quartic nonlinearities synchronizing to a scaling factor and also present the equilibrium and stability analysis of the system. This is to establish that projective synchronization can be achieved for varied systems with varied nonlinearities. Materials and Methods: We employed the adaptive synchronization technique to achieve projective synchronization of the system (master and slave) with different scaling factors, and the fourth order RungeKutta algorithm is used for numerical solutions. Results: In this work, the projective synchronization of two identical three dimensional systems with quadratic and quartic nonlinearities was achieved with the same and different scaling factor, . The equilibrium and stability analysis of the system was also presented. Numerical simulations was done to verify the above. Conclusion: The investigated projective synchronization behaviour of two identical three-dimensional system with two nonlinearities (quadratic and quartic) was achieved for cases where the scaling factor is the same and when different. This shows that projective synchronization can be achieved for systems with varying nonlinearities even when the scaling factor is different and this suggests its use in communication using chaotic wave forms as carriers, perhaps with a view to securing communication.

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A class of initials-dependent dynamical systems

Ren

et al. 2017

Applied Mathematics and Computation

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Dynamics and SC-CNN circuit implementation of a periodically forced non-smooth mechanical system

Cited by 7 publications

References 66 publications

Realization of all logic gates and memory latch in the SC-CNN cell of the simple nonlinear MLC circuit

Realization of all logic gates and memory latch in the SC-CNN cell of the simple nonlinear MLC circuit

Projective Synchronization of a 3D Chaotic System with Quadratic and Quartic Nonlinearities

A class of initials-dependent dynamical systems

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