Circuit implementation and model of a new multi‐scroll chaotic system

Chen, Diyi; Sun, Zhen; Chen, Lei

doi:10.1002/cta.1860

Cited by 36 publications

(18 citation statements)

References 33 publications

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“…For the sake of our outline, adopting a qualitative point of view, chaotic dynamical systems can be described as deterministic aperiodic systems displaying sensitive dependence on initial conditions [98,100]. Other chaotic dynamical systems, like the well-known Chua's system, the Tent map, or the Sawtooth map, have been particularly investigated in literature for their specific electronic hardware implementation [96,[102][103][104][105][106][107][108][109][110]. Well-known chaotic systems are the Lorenz system, the Logistic map, the Hénon map, the Rössler system, and the double rod pendulum [98,100].…”

Section: Chaotic Circuitsmentioning

confidence: 99%

Embedded electronic circuits for cryptography, hardware security and true random number generation: an overview

Acosta

Addabbo

Tena-Sánchez

2016

Circuit Theory & Apps

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We provide an overview of selected crypto-hardware devices, with a special reference to the lightweight electronic implementation of encryption/decryption schemes, hash functions, and true random number generators. In detail, we discuss the hardware implementation of the chief algorithms used in private-key cryptography, public-key cryptography, and hash functions, discussing some important security issues in electronic crypto-devices, related to side-channel attacks (SCAs), fault injection attacks, and the corresponding design countermeasures that can be taken. Finally, we present an overview about the hardware implementation of true random number generators, discussing the chief electronic sources of randomness and the types of post-processing techniques used to improve the statistical characteristics of the generated random sequences.A. J. ACOSTA, T. ADDABBO AND E. TENA-SÁNCHEZ resource consumption. This matter sets the point for the lightweight cryptography, that is, the subfield of cryptography aiming to provide solutions tailored for resource-constrained devices.According to Elsevier Scopus, the largest database of research peer-reviewed literature, since 2010, about 40k documents are returned if searching the keyword 'cryptography' [6]. A huge subset of these papers deals with conceptual, algorithmic, software, hardware solutions that may be taken into account in lightweight cryptography. In the face of such a vast literature, in this work, we provide a brief overview of selected crypto-hardware devices, with a special reference to the lightweight electronic implementation of encryption/decryption schemes, hash functions, and true random number generators (TRNGs).This paper is organized as in the following. In Section 2, we introduce some terminology and present an overview of the hardware implementation of the chief algorithms used in private-key cryptography, public-key cryptography (PKC), and hash functions. In Sections 3 and 4, we introduce some important security concerns about electronic crypto-devices, discussing SCAs, fault injection attacks, and the corresponding countermeasures that can be taken in the hardware design. Finally, Sections 5-8 are devised to provide an overview about the electronic implementation of TRNGs. In detail, in Sections 5 and 6, we discuss about security flaws, statistical defects, and predictability of TRNGs, presenting the chief sources of randomness used nowadays for their hardware implementation. In Sections 7 and 8, we discuss an overview of the different post-processing techniques aimed to improve the statistical characteristics of the generated random sequences and the evaluation methods used to assess the reliability of cryptographic TRNGs. Conclusion and References close the paper. CRYPTOGRAPHIC ALGORITHMSCryptographic algorithms aim to convert secret data into an unreadable code for non authorized persons, protecting secret information from theft or alteration and also enabling authentication. For better understanding, in the next sections, we define the following...

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Section: Chaotic Circuitsmentioning

confidence: 99%

Embedded electronic circuits for cryptography, hardware security and true random number generation: an overview

Acosta

Addabbo

Tena-Sánchez

2016

Circuit Theory & Apps

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“…Let us assume the following, given by formula (1), description of the fractional variable-order derivative (more details about the origin and properties of this formula are given in Sect. 5…”

Section: Observationmentioning

confidence: 99%

“…Observation The formula given by (1) is able to describe with very high accuracy the reductive-switching behavior of the electrical circuit.…”

Section: Observationmentioning

confidence: 99%

See 1 more Smart Citation

On the Recursive Fractional Variable-Order Derivative: Equivalent Switching Strategy, Duality, and Analog Modeling

Sierociuk

Malesza

Macias

2014

Circuits Syst Signal Process

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In this paper, a switching strategy for recursive fractional variable-order derivative is proposed. This strategy can be interpreted as an explanation of order switching mechanism for this particular type of derivative. Additionally, important properties of variable fractional order derivatives, required for prove the main result, are introduced both in a difference equation and a matrix form. Duality between the recursive and standard variable-order derivative is detailed derived. Based on the switching scheme, an analog realization of the recursive variable-order derivative definition is presented. Experimental results obtained for the analog realization are compared to the numerical results.

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“…Generally, self-excited multiscroll or multiwing chaotic attractors are generated by disposing unstable index-2 saddle-foci in terms of added breakpoints in the model system [11,12], which shows great theoretical and practical significance due to the applications to encrypted communication, chaos synchronization, and some other fields of Chua's systems with multiscroll chaotic attractors [13].…”

Section: Introductionmentioning

confidence: 99%

Novel 3-Scroll Chua’s Attractor with One Saddle-Focus and Two Stable Node-Foci

Chu

Zhu

Qian

et al. 2018

Mathematical Problems in Engineering

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With new three-segment piecewise-linearity in the classic Chua's system, two new types of 2-scroll and 3-scroll Chua's attractors are found in this paper. By changing the outer segment slope of the three-segment piecewise-linearity as positive, the new 2-scroll Chua's attractor has emerged from one zero index-1 saddle-focus and two symmetric stable nonzero node-foci. In particular, by newly introducing a piecewise-linear control function, an improved Chua's system only with one zero index-2 saddle-focus and two stable nonzero node-foci is constructed, from which a 3-scroll Chua's attractor is converged. Some remarks for Chua's nonlinearities and the generating chaotic attractors are discussed, and the stabilities at the three equilibrium points are then analyzed, upon which the emerging mechanisms of the novel 2-scroll and 3-scroll Chua's attractors are explored in depth. Furthermore, an analog electronic circuit built with operational amplifier and analog multiplier is designed and hardware circuit experiments are measured to verify the numerical simulations. These novel 2-scroll and 3-scroll Chua's attractors reported in this paper are completely different from the classic Chua's attractors, which will enrich the dynamics of the classic Chua's system.

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Circuit implementation and model of a new multi‐scroll chaotic system

Cited by 36 publications

References 33 publications

Embedded electronic circuits for cryptography, hardware security and true random number generation: an overview

Embedded electronic circuits for cryptography, hardware security and true random number generation: an overview

On the Recursive Fractional Variable-Order Derivative: Equivalent Switching Strategy, Duality, and Analog Modeling

Novel 3-Scroll Chua’s Attractor with One Saddle-Focus and Two Stable Node-Foci

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