Existence of periodic solutions for non-linear third order autonomous differential equation (O.D.E.) has not been investigated to as large an extent as non-linear second order. The popular Poincare-Bendixon theorem applicable to second order equation is not valid for third order equation (see [3]). This conclusion opens a way for further investigation.

in this paper, to analyze the transport of autonomous robots, an artificial capital market is used. capital market is considered as a pier which loading and unloading of cargo is done. autonomous robots load and unload from the ship to the warehouse wharf or vice versa. all the robots have the ability of transporting the loads, but depending on loads and the location of unloading (or loading) a...

In this paper, the dynamics of multicellular chopper are considered. The model is described by a continuous time three--dimensional autonomous system. Some basic dynamical properties such as Poincar'e mapping, power spectrum and chaotic behaviors are studied. Analysis results show that this system has complex dynamics with some interesting characteristics.

Abstract If the semigroup is slowly non-dissipative, i.e., its solutions can diverge to infinity as time tends infinity, one still study dynamics via approach by unbounded attractors—the counterpart of classical notion global attractors. We continue development this theory started Chepyzhov and Goritskii (Unbounded attractors evolution equations. Advances in Soviet mathematics, American Mathema...

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Motorsport has always been an enabler for technological advancement, and the same applies to autonomous driving industry. The team TUM Autonomous Motorsports will participate in Indy Challenge October 2021 benchmark its self-driving software-stack by racing one out of ten Dallara AV-21 racecars at Indianapolis Motor Speedway. first part this paper explains reasons entering vehicle race from aca...