In this manuscript, we principally probe into a class of fractional-order tri-neuron neural networks incorporating delays. Making use fixed point theorem, prove the existence and uniqueness solution to By virtue suitable function, uniformly boundedness With aid stability theory bifurcation knowledge differential equation, new delay-independent condition guarantee creation Hopf delays is establi...

Traditionally, interactions between laser beams or filaments were considered to be deterministic. We show, however, that in most physical settings, these interactions ultimately become stochastic. Specifically, we show that in the nonlinear propagation of laser beams, the shot-to-shot variation of the nonlinear phase shift increases with distance, and ultimately becomes uniformly distributed in...

<p>In this paper the properties of space G-permutation degree, like: weight, uniform connectedness and index boundedness are studied. It is proved that:</p><p>(1) If (X, U) a space, then mapping ? s n, G : (X n , U ) ? (SP GX, SP GU) uniformly continuous open, moreover w (U) = GU);</p><p>(2) f (Y, V) (open), Gf GY, GV) also (open);</p><p>(3) connected, ...

Online approximation of the optimal station keeping strategy for a fully actuated six degrees-of-freedom marine craft subject to an irrotational ocean current is considered. An approximate solution to the optimal control problem is obtained using an adaptive dynamic programming technique. The hydrodynamic drift dynamics of the dynamic model are assumed to be unknown; therefore, a concurrent lea...

In the present paper, we rst modify the concepts of weakly fuzzy boundedness, strongly fuzzy boundedness, fuzzy continuity, strongly fuzzy continuity and weakly fuzzy continuity. Then, we try to nd some relations by making a comparative study of the fuzzy norms of linear operators.

In this paper, we study the complete synchronization of Kuramoto model with general network containing a spanning tree, when initial phases are distributed in an open half circle. As lack uniform coercivity digraph, order to capture dissipation structure on network, apply strongly connected graph decomposition criteria Ha et al. [Math. Models Methods Appl. Sci., 30 (2020)] yield hierarchical st...

In this paper, a backstepping sampled data control method is developed for flexible robotic manipulator whose internal dynamic completely unknown. To address the uncertainties, fuzzy logical system (FLS) considered. Moreover, considering limited network bandwidth, designed controller and adaptive laws only contain with fixed period. By invoking Lyapunov stability theory, all signals of are semi...

This past October, I published an editorial (Blatt, 2015) appraising the social media phenomenon of PubPeer. I raised several issues with the Web site that I maintain do not serve the scientific community and will only entrench many of the underlying attitudes and behaviors that PubPeer claims it seeks to counter. The response tomyeditorial exceededall expectations— in 18 days it garnered 348 c...