Sentence examples for various chaotic systems from inspiring English sources

In recent years, various chaotic systems have been introduced in literature to be used in different branches of science.

For chaotic systems with time-delay and disturbance, several works have proposed the problem for various chaotic systems in the literature [24 26].

According to extensive computer simulation results and a comparison among three typical chaotic systems, it is confirmed that the proposed method is well applicable using various chaotic systems, mostly with very high accuracies.

Various effective methods such as robust control [2], the sliding method control [3], linear and nonlinear feedback control [4], function projective [5 7], adaptive control [8], active control [9], backstepping control [10], generalized backstepping method control [11] and anti-synchronization [12] have been presented to synchronize various chaotic systems.

Remark 1 Although various chaotic memristor oscillator systems have been analyzed extensively in recent years, the hyperchaotic memristor oscillator system is rarely reported and investigated directly.

Although various memristor-based chaotic systems have been researched in recent years [17 19], the research of synchronization between two memristor-based hyperchaotic systems is rarely reported.

Although various memristor-based chaotic systems have been researched extensively in recent years, the research of memristor-based hyperchaotic systems is rarely reported and investigated directly.

Various dynamical behaviors of chaotic systems are revealed.

In this article the dual function projective synchronization among various fractional order complex chaotic systems is investigated using active control technique.

Various complex dynamical behaviors of chaotic systems are studied due to its various applications in the field of population dynamics, electric circuits, cryptology, fluid dynamics, lasers, engineering, stock exchanges, chemical reactions, etc. [11 32].

As a result, we obtained a gallery of chaotic systems with various shapes of equilibrium points such as a line, two parallel lines, a piece wise linear curve, a parabola, a hyperbola, or a circle.