Self-reproducing chaos and bursting oscillation analysis in a meminductor-based conservative system

Kumar

2022

IJEER

This paper exhibits a grounded meminductor emulator designed using an operational amplifier generalized impedance converter (GIC) and a memristor. One of the resistors of GIC has been judiciously replaced by memristor to convert active inductor circuit into meminductor emulator circuits. For the proposed grounded meminductor emulator, pinched hysteresis loops of up to 5kHz have been produced. The simulation findings were obtained using the LTspice simulation tool. The pinched hysteresis loops are shrinking when the frequency is varied from 100 Hz – 5 kHz. A high pass filter has also been constructed and simulated using the proposed meminductor emulator to validate its performance.

Section: ░ 2 Literature Reviewmentioning

confidence: 99%

Grounded Meminductor Emulator Using Operational Amplifier-Based Generalized Impedance Converter and Its Application in High Pass Filter

Kumar

2022

IJEER

“…Scholars have classified memristors into two types: passive charge-controlled and flux-controlled [2] and presented several kinds of memristor mathematical models. These models are defined in terms of the memristance or memductance functions, including sign functions [3], absolute value functions [4], square functions [5], and trigonometric functions [6,7]. The concept of a memristor is also expanded from an ideal passive memristor to a non-ideal active memristor and from a narrow memristor to a generalized memristor [8].…”

Section: Introductionmentioning

confidence: 99%

“…Yuan F et al designed a simple conservative chaotic system with a sinusoidal meminductor and a capacitor. The system has innumerable center points and exhibits self-reproducing attractors of homogeneous multistability [6]. In 2020, Deng Y et al proposed a new segmented function memristor and applied it to a chaotic conservative circuit system with a capacitor.…”

Section: Introductionmentioning

confidence: 99%

A conservative system based on a triangular wave memristor and its application in image encryption

Liu

Zhang

et al. 2023

Preprint

Reconstruction techniques can capture the attractor data of dissipative chaotic systems, which will lead to a threat to the security of the cryptosystem. Since conservative chaotic systems do not form chaotic attractors, they can avoid the defects of the dissipative system and resist attacks. This paper aims to construct a new type of active charge-controlled memristor based on a triangular wave and apply it to build a non-Hamiltonian globally conservative circuit, the characteristic roots of which are all on the imaginary axis. The system is critically stable and presents extremely high sensitivity to the initial values, exhibiting heterogeneous multistability and homogeneous multistability with local amplitude modulation. This special multistability is of great significance to engineering applications. In addition, as the hardware accuracy is limited and only a few conservative systems have been implemented digitally, the DSP platform is employed herein for the physical implementation of the proposed system. In the end, we applied the novel system to a plaintext-related image encryption algorithm. The results show that the system not merely can resist the risk of data reconstruction, but also has excellent random characteristics, and is suitable for encryption.

“…Amplitude control along with offset boosting seems to be well addressed in continuous chaotic systems [30], but all chaotic systems ignore the nonlinearity of the trigonometric function. Continuous chaotic systems with trigonometric functions have been investigated, mainly focusing on attractor self-reproduction [31][32] or attractor growing [33][34] rather than amplitude control. Amplitude control in chaotic maps seems much more difficult to design since the coefficient for variable rescaling has a broader distribution on the right side of the map; therefore, the control of chaotic maps has not received enough attention in the field of nonlinear dynamics.…”

Section: Introductionmentioning

confidence: 99%

An amplitude-controllable 3-D hyperchaotic map with homogenous multistability

Zhou

et al. 2021

Nonlinear Dyn

By introducing a sinusoidal function into a three-dimensional map, a hyperchaotic map with three positive Lyapunov exponents is derived. The system has two amplitude controllers, a total controller, and a partial controller. The hyperchaotic map shares a unique structure of two-leaf and three-leaf attractors under united Lyapunov exponents. Furthermore, homogenous multistability is found in the 3-D map, where the initial data determine the attractor structure combined with the distance between any two leaves. Experimental hardware based on STM32 is built to prove the numerical findings. The hyperchaotic map is introduced for color image encryption.The analysis of key space, histogram, information entropy, correlation, and anti-noise infection shows its powerful performance in encryption and security.