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Four-wing attractors in a novel chaotic system with hyperbolic sine nonlinearity

Chaotic systems generating multi-wing attractors have received considerable attention in the literature. In this work, we propose a novel three-dimensional chaotic system with hyperbolic sine nonlinearity. It is worth noting that the system is elegant and includes only one parameter. Despite its simple structure, the new system displays double-wing and four-wing chaotic attractors. By studying

Circuit Theory and Applications
Software and Communications

Variability of supercapacitor fractional-order parameters extracted from discharging behavior using least squares optimization

In this paper the variability of supercapacitor fractional-order model parameters are explored when extracted using a non-linear least squares optimization applied to their constant current discharging behaviour. The variability of parameters extracted 1000 different times applying the optimization process to multiple sets of simulated and experimental data are presented to validate this approach

Circuit Theory and Applications

A novel chaotic system without equilibrium: Dynamics, synchronization, and circuit realization

A few special chaotic systems without unstable equilibrium points have been investigated recently. It is worth noting that these special systems are different from normal chaotic ones because the classical Shilnikov criterion cannot be used to prove chaos of such systems. A novel unusual chaotic system without equilibrium is proposed in this work. We discover dynamical properties as well as the

Circuit Theory and Applications

Hyperchaos and adaptive control of a novel hyperchaotic system with two quadratic nonlinearities

Liu-Su-Liu chaotic system (2007) is one of the classical 3-D chaotic systems in the literature. By introducing a feedback control to the Liu-Su-Liu chaotic system,we obtain a novel hyperchaotic system in this work, which has two quadratic nonlinearities. The phase portraits of the novel hyperchaotic system are displayed and the qualitative properties of the novel hyperchaotic system are discussed

Circuit Theory and Applications

Hyperchaos and adaptive control of a novel hyperchaotic system with two quadratic nonlinearities

Liu-Su-Liu chaotic system (2007) is one of the classical 3-D chaotic systems in the literature. By introducing a feedback control to the Liu-Su-Liu chaotic system,we obtain a novel hyperchaotic system in this work, which has two quadratic nonlinearities. The phase portraits of the novel hyperchaotic system are displayed and the qualitative properties of the novel hyperchaotic system are discussed

Circuit Theory and Applications

Variability of Cole-model bioimpedance parameters using magnitude-only measurements of apples from a two-electrode configuration

Electrical impedance measurements have been widely researched to monitor physiological changes in fruits and vegetables in a nondestructive manner. Recently, the parameters of the Cole bioimpedance model (R0, R1, C, and α), an equivalent circuit that is widely used to represent the electrical impedance of biological tissues, were extracted using techniques without direct impedance measurements. In

Circuit Theory and Applications

Single and dual solutions of fractional order differential equations based on controlled Picard's method with Simpson rule

This paper presents a semi-analytical method for solving fractional differential equations with strong terms like (exp, sin, cos,…). An auxiliary parameter is introduced into the well-known Picard's method and so called controlled Picard's method. The proposed approach is based on a combination of controlled Picard's method with Simpson rule. This approach can cover a wider range of integer and

Circuit Theory and Applications

Minimal two-transistor multifunction filter design

This paper presents a comprehensive method and analysis on the design of two-transistor multi-output filters where three possible functions are simultaneously available. Although two transistors are employed at its core, proper biasing does not require additional passive components. A total of thirteen valid second-order filters are reported, and several of them are experimentally tested using

Circuit Theory and Applications

A new method to synchronize fractional chaotic systems with different dimensions

By using two scaling function matrices, the synchronization problem of different dimensional fractional order chaotic systems in different dimensions is developed in this chapter. The controller is designed to assure that the synchronization of two different dimensional fractional order chaotic systems is achieved using the Lyapunov direct method.Numerical examples and computer simulations are

Circuit Theory and Applications

A new method to synchronize fractional chaotic systems with different dimensions

By using two scaling function matrices, the synchronization problem of different dimensional fractional order chaotic systems in different dimensions is developed in this chapter. The controller is designed to assure that the synchronization of two different dimensional fractional order chaotic systems is achieved using the Lyapunov direct method.Numerical examples and computer simulations are

Circuit Theory and Applications