Исследование дробной динамической системы Селькова
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 Предложена дробная нелинейная динамическая система Селькова, для описания микросейсмических явлений. Эта система известна наличием автоколебательных режимов и применяется в биологии для описания гликолитических колебаний субстрата и продукта ...
Паровик, Р.И.
doaj +1 more source
Influence of Coil Current and Oil Film Thickness on Hopf Bifurcation of MLDSB
Energies, 2022 Magnetic-liquid double-suspension bearing (MLDSB) is composed of an electromagnetic supporting system and a hydrostatic supporting system. Due to its greater supporting capacity and stiffness, it is appropriate for middle-speed applications, overloading,
Jianhua Zhao +6 more
doaj +1 more source
Mathematics, 2022 A non-linear fractional Selkov dynamic system for mathematical modeling of microseismic phenomena is proposed. This system is a generalization of the previously known Selkov system, which has self-oscillatory modes and is used in biology to describe ...
Roman Ivanovich Parovik
doaj +1 more source
Mathematical modeling of oscillator hereditarity [PDF]
Компьютерные исследования и моделирование, 2015 The paper considers hereditarity oscillator which is characterized by oscillation equation with derivatives of fractional order $\beta$ and $\gamma$, which are defined in terms of Gerasimova-Caputo.
Roman Ivanovich Parovik
doaj +1 more source
Дробная математическая модель Макшерри
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2023 В статье предложено обобщение математической модели Макшерри для моделирования искусственной электрокардиограммы — изменяющегося во времени сигнала, отражающий ионный ток, который заставляет сердечные волокна сокращаться, а затем расслабляться. Обобщение
Алимов, Х.Т. +2 more
doaj +1 more source
Hyperbolic chaos in self-oscillating systems based on mechanical triple linkage: Testing absence of tangencies of stable and unstable manifolds for phase trajectories [PDF]
, 2015 Dynamical equations are formulated and a numerical study is provided for selfoscillatory model systems based on the triple linkage hinge mechanism of Thurston–Weeks–Hunt–MacKay. We consider systems with a holonomic mechanical constraint of three rotators
S. Kuznetsov
semanticscholar +1 more source
Multi-Phase Vertical Take-Off and Landing Trajectory Optimization with Feasible Initial Guesses
Aerospace, 2023 The advancement of electric vertical take-off and landing (eVTOL) aircraft has expanded the horizon of urban air mobility. However, the challenge of generating precise vertical take-off and landing (VTOL) trajectories that comply with airworthiness ...
Zhidong Lu +2 more
doaj +1 more source
VAN DER POL-DUFFING OSCILLATOR WITH THE EFFECT OF HEREDITARY [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017 The paper presents a new mathematical model of the van der Pol oscillator, Duffing with external periodic influence given hereditarity. An algorithm for finding the numerical solution of the original model equation, which is based on the finite ...
Novikovа E. R.
doaj +1 more source
Mathematical Modeling of Linear Fractional Oscillators
Mathematics, 2020 In this work, based on Newton’s second law, taking into account heredity, an equation is derived for a linear hereditary oscillator (LHO). Then, by choosing a power-law memory function, the transition to a model equation with Gerasimov–Caputo fractional ...
Roman Parovik
doaj +1 more source
An Application of a Special Method for Designating the Control Forces for the Homing of an Anti-Aircraft Missile on an Aerial Target by Use of a Method of Proportional Navigation [PDF]
Problemy Mechatroniki, 2018 An analysis of application feasibility of a special method for surface-to-air missile (SAM) control during homing on an airborne target was carried out in this paper. A prior implementation of the method was motion control for a gyroscope axis with three
Konrad STEFAŃSKI
doaj +1 more source