Unidirectional and diffusive coupling of identical n-double scroll cells in a one-dimensional cellular neural network is studied. Weak coupling between the cells leads to hyperchaos, with n-double scroll hypercube attractors observed in the common state subspace of the cells. Individually the cells remain behaving as n-double scrolls. The n-double scroll hypercubes are filled with multiple scro...

Scroll waves in excitable media, described by the Barkley model, are studied. In the parameter region of weak excitability, negative tension of wave filaments is found. It leads to expansion of scroll rings and instability of wave filaments. A circular filament tends to stretch, bend, loop, and produce an expanding tangle that fills up the volume. The filament does not undergo fragmentation bef...

Absrrucf-This paper provides a rigorous mathematical proof that the double scroll is indeed chaotic. Our approach is to derive a linearly equitdent class of piecewise-linear differential equations which includes the double scroll as a special case. A necessary and sufficient condition for two such piecewise-linear vector fields to be linearly equivalent is that their respective eigenvalues be a...

A new approach for generating -scroll attractors is introduced. It is demonstrated that -scroll attractors can be generated using a simple sine or cosine function. A guideline is given so that a different number of scrolls can be designed easily by modifying two variables in the function. An electronic circuit is also designed for the implementation and the observation of a 9-scroll attractor i...

Figure 1: Scroll wave turbulence developed from a scroll with a curved filament. Simulation of FitzHugh-Nagumo model in 3D, parameters as in (Biktashev 1998). Red surfaces are fronts (u=0,v<0) blue surfaces are backs (u=0,v>0) of excitation waves, and yellow lines are singularities (u=0,v=0)rotating around slowly moving scroll filaments, where u,v are respectively the activator and inhibitor fi...

Controlling chaos has become a challenging topic in nonlinear dynamics. It has been studied in many scientific and engineering fields such as physics, chemistry, electrical circuit, etc., and several extension and applications of the original OGY control method [1] have been reported [2–6]. Chua’s circuit is known as an electrical circuit and having the ability of generating chaos [7]. Recent r...

Many traditional designs consist of some geometrical properties of symmetry, periodicity/repetition, recursion or cycle with an endless stroke, especially in Tamil Kolam, Celtic knots, African Sona, Vanuatu Nitus, Arabesque or Asian knot etc. People like to feel infinity, recurrency and dynamism especially of trace animation in these cycle patterns, and are attracted by such a fact that the pat...

Improvement of compressor efficiency using the alternative refrigerant is demanded strongly to reduce CO2 emission, which causes the global warming. Especially the compressor using in frozen temperature level has long lifetime, and the correspondence to above-mentioned is one of the most important subjects. The scroll compressor is the promising structure to solve this problem. A technical poin...

OBJECTIVE We employ a nasal tip finite element model (FEM) to evaluate contributions of two of the three major tip support mechanisms: attachments between the upper and lower lateral cartilages and attachment of the medial crura to the caudal septum. STUDY DESIGN The nasal tip FEM computed stress distribution and strain energy density (SED) during nasal tip compression. We examined the impact...