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Fingerprints of closed trajectories of a strebel quadratic differential
In this note, we study the fingerprints of closed smooth curves that are the trajectories of a particular Strebel quadratic differentials.
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KILLING MAGNETIC TRAJECTORIES IN 3D EGOROV SPACES
The paper is devoted to explore the trajectories of charged particles varying under the influence of Lorentz force of Killing magnetic fields (i.e.,...
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Magnetic Trajectories on 2-Step Nilmanifolds
The aim of this work is the study of magnetic trajectories on 2-step nilmanifolds. The magnetic equation is written and the corresponding solutions...
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Orthogonal trajectories to isoptics of ovals
For a given plane curve, consider a one-parameter family of curves consisting of those points at which two support lines to the initial curve...
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Magnetic Trajectories in Killing Magnetic Backgrounds Framed in 3D pp-Waves
The article is aimed to explore trajectories of charged particles moving under the effect of Lorentz force of Killing magnetic fields (i.e., closed...
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Closed 1/2-Elasticae in the 2-Sphere
We study critical trajectories in the sphere for the 1/2-Bernoulli’s bending functional with length constraint. For every Lagrange multiplier...
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On Closed Geodesics in Lorentz Manifolds
We construct compact Lorentz manifolds without closed geodesics.
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On Game Problems of Controlling Pencil Trajectories under Integral Constraints on the Controls of Players
AbstractThe game problems of control of pencil trajectories, described by a system of equations with a retarded argument under integral restrictions...
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On the convergence of the trajectories of the dynamical Moudafi’s viscosity approximation system
We study the asymptotic behavior of trajectories of the continuous dynamical system(CDS) associated with the discrete viscosity approximation method...
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Planning of multiple coexisting trajectories for autonomous vehicles based on self-organizing maps
In this work, we propose an algorithm for generating multiple simultaneous trajectories focusing on covering a given area for surveillance...
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Partial Collapsing Degeneration of Floer Trajectories and Adiabatic Gluing
In the present paper, we study partial collapsing degeneration of Hamiltonian-perturbed Floer trajectories for an adiabatic ε -family and its reversal...
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Linear Quadratic Leader-Follower Stochastic Differential Games: Closed-Loop Solvability
In this paper, a leader-follower stochastic differential game is studied for a linear stochastic differential equation with quadratic cost...
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Abnormal Trajectories in the Sub-Riemannian \((2,3,5,8)\) Problem
AbstractAbnormal trajectories are of particular interest for sub-Riemannian geometry, because the most complicated singularities of the...
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Invariant Closed Sets with Respect to Differential Inclusions with Time-Dependent Maximal Monotone Operators
The main purpose of the present paper is the characterization, in the finite dimensional setting, of weak and strong invariance of closed sets with...
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An integrated rolling horizon and adaptive-refinement approach for disjoint trajectories optimization
Planning for multiple commodities simultaneously is a challenging task arising in divers applications, including robot motion or various forms of...
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Multiply Closed Control Strategy in a Linear Terminal Problem of Optimal Guaranteed Control
This paper deals with an optimal control problem for a linear discrete system with disturbances. It is required to steer the system robustly to a...
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Closed Map**s and Construction of Extension Models
The problem of reachability in a topological space is studied under constraints of asymptotic nature arising from weakening the requirement that the...