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https://www.selleckchem.com/products/AZD6244.html This paper presents a new five-term chaotic model derived from the Rössler prototype-4 equations. The proposed system is elegant, variable-boostable, multiplier-free, and exclusively based on a sine nonlinearity. However, its algebraic simplicity hides very complex dynamics demonstrated here using familiar tools such as bifurcation diagrams, Lyapunov exponents spectra, frequency power spectra, and basins of attraction. With an adjustable number of equilibrium, the new model can generate infinitely many identical chaotic attractors and limit cycles of different magnitudes. Its dynamic behavior also reveals up to six nontrivial coexisting attractors. Analog circuit and field programmable gate array-based implementation are discussed to prove its suitability for analog and digital chaos-based applications. Finally, the sliding mode control of the new system is investigated and simulated.Excitable media sustain circulating waves. In the heart, sustained circulating waves can lead to serious impairment or even death. To investigate factors affecting the stability of such waves, we have used optogenetic techniques to stimulate a region at the apex of a mouse heart at a fixed delay after the detection of excitation at the base of the heart. For long delays, rapid circulating rhythms can be sustained, whereas for shorter delays, there are paroxysmal bursts of activity that start and stop spontaneously. By considering the dependence of the action potential and conduction velocity on the preceding recovery time using restitution curves, as well as the reduced excitability (fatigue) due to the rapid excitation, we model prominent features of the dynamics including alternation of the duration of the excited phases and conduction times, as well as termination of the bursts for short delays. We propose that this illustrates universal mechanisms that exist in biological systems for the self-termination of such activities.We present

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