This paper introduces a new no-equilibrium chaotic system that is constructed by adding tiny perturbation to simple flow having line equilibrium. The dynamics of the proposed are investigated through Lyapunov exponents, bifurcation diagram, Poincaré map and period-doubling route chaos. A circuit realization also represented. Moreover, two other systems without equilibria applying presented methodology.

For a dynamical system described by set of autonomous ordinary differential equations, an attractor can be point, periodic cycle, or even strange attractor. Recently, new chaotic with only one stable equilibrium was described, which locally converges to the but is globally chaotic. This paper further shows that for certain parameters, besides point and attractor, this also has coexisting limit demonstrating truly complicated interesting.

Discovering unknown features of no-equilibrium systems with hidden strange attractors is an attractive research topic. This paper presents a novel chaotic system that constructed by using state feedback controller. Interestingly, the new can exhibit multiwing butterfly attractors. Moreover, infinite number equilibrium points, which generate multiscroll attractors, also proposed applying introduced methodology.

Although many chaotic systems have been introduced in the literature, a few of them possess uncountably infinite equilibrium points. The aim our short work is to widen current knowledge with an number equilibria. A three-dimensional system special properties, for example, exhibiting attractor circular equilibrium, ellipse square-shaped and rectangle-shaped proposed.

Today, four-dimensional chaotic systems are attracting considerable attention because of their special characteristics. This paper presents a non-equilibrium system with hidden attractors and investigates its dynamical behavior using bifurcation diagram, as well three well-known entropy measures, such approximate entropy, sample Fuzzy entropy. In order to stabilize the proposed system, an adaptive radial-basis function neural network (RBF-NN)-based control method is represent model uncertain...

Due to various table layouts and styles, detection is always a difficult task in the field of document analysis. Inspired by great progress deep learning based methods on object detection, this paper, we present YOLO-based method for task. Considering large difference between objects natural objects, introduce some adaptive adjustments YOLOv3, including an anchor optimization strategy two post processing methods. For optimization, use k-means clustering find anchors which are more suitable...

In this letter we investigate the role of complex fixed-points in finding hidden attractors chaotic flows with no equilibria. If these could be found by starting trajectory neighborhood fixed-points, maybe it would better not to call them hidden.

The presence of hidden attractors in dynamical systems has received considerable attention recently both theory and applications. A novel three-dimensional autonomous chaotic system with is introduced this paper. It exciting that can exhibit two different families attractors: an infinite number equilibrium points without equilibrium. Dynamical behaviors such are discovered through mathematical analysis, numerical simulations circuit implementation.

Recent evidences suggest that complex behavior such as chaos can be observed in a nonlinear system with stable equilibria. However, few studies have investigated chaotic systems only one equilibrium. This paper introduces new 3-D having Dynamics of the are discovered by using phase portraits, basin attraction, bifurcation diagram, and maximal Lyapunov exponents. It is interesting has state variable related freedom offset boosting. In addition, we anti-synchronization via an adaptive control....

Wang–Chen system with only one stable equilibrium as well the coexistence of hidden attractors has attracted increasing interest due to its striking features. In this work, effect state feedback on is investigated by introducing a further variable. It worth noting that new chaotic without obtained. We believe an interesting example illustrate conversion equilibrium.

We propose and demonstrate a tunable multiwavelength mode-locked Tm/Ho-doped fiber laser based on nonlinear amplified loop mirror (NALM). Without using polarization-maintaining fiber, only passive fibers with low birefringence were inserted into the NALM to help overcome mode competition realize mode-locking. The spacing between adjacent channels was measured be ∼6 nm. By adjusting polarization controllers (PCs) an appropriate position, self-started mode-locking achieved, which further...

Systems with many equilibrium points have attracted considerable interest recently. A chaotic system a line has been studied in this work. The infinite equilibria and exhibits coexisting attractors. an number of realized by electronic circuit, which confirms the feasibility system. Based on such system, we developed new S-Box generation algorithm. With algorithm, two S-Boxes are produced. Performance tests performed. shown that proposed good performance results.

Abstract In this paper, we propose three fractional chaotic maps based on the well known 3D Stefanski, Rössler, and Wang maps. The dynamics of proposed are investigated experimentally by means phase portraits, bifurcation diagrams, Lyapunov exponents. addition, control laws introduced for these convergence controlled states towards zero is guaranteed stability theory linear discrete systems. Furthermore, a combined synchronization scheme whereby Rössler map considered as drive system with...

Multistability in a dynamical system has attracted great attention recently for its complex and unexpected states. Since most chaotic systems coexisting attractors reside their own individual basin of attraction with fractal structure, it becomes challenge to choose correct initial conditions obtain desired dynamics. Selecting typical dynamics as the basic components sequence then arranging them phase space order make multistability transparent controllable domain conditions; thereafter, one...

Although chaotic systems have been intensively studied since the 1960s, new with mysterious features are still of interest. A novel system including hyperbolic functions is proposed in this work. Especially, has an infinite number equilibrium points. Dynamics investigated by using non-linear tools such as phase portrait, bifurcation diagram, and Lyapunov exponent. It interesting that can display coexisting attractors. An electronic circuit for realising implemented. Experimental results show...

Recent evidence suggests that a system with only stable equilibria can generate chaotic behavior. In this work, we study two equilibrium points. The dynamics of the is investigated via phase portrait, bifurcation diagram and Lyapunov exponents. feasibility introducing its electronic realization. Moreover, used in Symmetric Chaos Shift Keying (SCSK) Chaotic ON-OFF (COOK) modulated communication designs for secure communication. It determined SCSK implemented more successful than COOK modulation

In this paper, we propose a fractional map based on the integer-order unified map. The chaotic behavior of proposed is analyzed by means bifurcations plots, and experimental bounds are placed parameters order. Different control laws to force states zero asymptotically achieve complete synchronization pair maps with identical or nonidentical parameters. Numerical results used throughout paper illustrate findings.

In this paper, we propose a fractional form of new three-dimensional generalized Hénon map and study the existence chaos its control. Using bifurcation diagrams, phase portraits Lyapunov exponents, show that general behavior proposed depends on order. We also present two control schemes for map, one adaptively stabilizes another to achieve synchronization map.