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Integral of motion and nonlinear dynamics of three Duffing oscillators with weak or strong bidirectional coupling
In this work, we present a system composed of three identical Duffing oscillators coupled bidirectionally. Starting from a Lagrangian that describes...
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Herglotz-type principle and first integrals for nonholonomic systems in phase space
The Herglotz-type principle and first integrals in phase space for nonconservative nonholonomic systems are researched. Firstly, we focus on...
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First integrals and exact solutions of a class of nonlinear systems
Nonlinear nonconservative systems are not integrable for a general parametric choice, and it is difficult to obtain the first integral directly....
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Delay-dependent Exponential Stability of Linear Stochastic Neutral Systems with General Delays Described by Stieltjes Integrals
In this paper, mean square exponential stability (MSES) and almost sure exponential stability (ASES) for linear stochastic neutral systems (LSNSs)...
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Simulation of a Subjected Rigid Body Motion to an External Force and Moment
PurposeThis work intends to investigate the rigid body’s motion around a specific fixed point (analogous to Lagrange’s scenario) in the presence of a...
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Study on HOBEM Based on Analytical Panel Integrals Related to Translating-Pulsating Source for Hydrodynamic Responses of Vessels Sailing in Waves
A higher-order boundary element method (HOBEM) incorporated with analytical panel integrals related to translating-pulsating source Green’s function...
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Kinematics of Fluid Motion
Kinematics of fluid motion deals with the flow of particles without considering forces causing the motion. This deals with the velocity and... -
Plane Motion of the Aircraft
The paper is devoted to determining the parameters of motion of an sport airplane with a controlled thrust vector of engines. Highly maneuverable... -
Satellite Motion Models
Motion models are the basis for the design of spacecraft control systems and their verification in a simulation environment. Their understanding and... -
Teaching Humanoid Robot Reaching Motion by Imitation and Reinforcement Learning
This paper presents a user-friendly method for programming humanoid robots without the need for expert knowledge. We propose a combination of... -
Harmonic Motion, Reduced Frequency, and Kernel
For the case of harmonic motion and two-dimensional incompressible flow, this chapter introduces the fundamental concepts of reduced frequency and... -
Indefinite Integrals
To understand the need to introduce the notion of antiderivativeAntiderivative of a function we will start from a simple problem of mechanics. -
Illuminating dot-satellite motion around the natural moons of planets using the concept of ER3BP with variable eccentricity
In the current study, we explore stability of satellite motion around the natural moons of planets in solar system using the novel concept of ER3BP...
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Motion Control of a Multipurpose Laboratory Module with the Use of a Propulsion Unit
AbstractThe motion control of the Nauka Multipurpose Laboratory Module (MLM) during its flight to the International Space Station (ISS) is...
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Fastest Planar Motion Trajectories with Unlimited Curvature
AbstractThe problem of speed is considered for a controlled dynamic system of the fifth order, which describes planar motion with limited...
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Numerical Study on Motion Responses of Two Parallel Ships During Underway Replenishment by the Semi-Analytical HOTP Method
Motion responses of two ships advancing parallel in waves with hydrodynamic interactions are investigated in this paper. Within the framework of the...
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Lyapunov functions and regions of attraction for spherically constrained relative orbital motion
This paper considers the problem of a deputy spacecraft constrained to remain a fixed distance from another spacecraft. The relative dynamics of the...
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Three-dimensional evolution of body and fluid motion near a wall
Evolution of three-dimensional body motion within surrounding three-dimensional fluid motion is addressed, each motion affecting the other...
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Harmonic expansion and nonsmooth dynamics in a circular contact region with combined slip-spin motion
We analyse a rigid body in planar motion while touching a rough plane at a finite-sized, circular contact area. Assuming Coulomb friction between the...
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Stochastic stabilization and destabilization of ship maneuvering motion by multiplicative noise
In 1982, Tsubokawa et al. (J SocNaval Arch Japan 1982: 101, 1982) examined ship maneuvering motion and revealed through numerical simulations that...