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Multiscale measures of phase-space trajectories [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2020 Characterizing the multiscale nature of fluctuations from nonlinear and nonstationary time series is one of the most intensively studied contemporary problems in nonlinear sciences. In this work, we address this problem by combining two established concepts—empirical mode decomposition (EMD) and generalized fractal dimensions—into a unified analysis ...
Tommaso Alberti +4 more
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Quantum particle trajectories and geometric phase [PDF]
Journal of Experimental and Theoretical Physics Letters, 2000 "Particle"-trajectories are defined as integrable $dx_ dp^ = 0$ paths in projective space. Quantum states evolving on such trajectories, open or closed, do not delocalise in $(x, p)$ projection, the phase associated with the trajectories being related to the geometric (Berry) phase and the Classical Mechanics action. High Energy Physics properties of
M. Dima
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Dynamical Temperature from the Phase Space Trajectory
Hungarian Journal of Industry and Chemistry, 2017 In classical statistical mechanics the trajectory in phase space represents the propagation of a classical Hamiltonian system. While trajectories play a key role in chaotic system theory, exploitation of a single trajectory has yet to be considered. This
Baranyai András
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Trajectory phase transitions in noninteracting spin systems [PDF]
Physical Review E, 2020 We show that a collection of independent Ising spins evolving stochastically can display surprisingly large fluctuations towards ordered behaviour, as quantified by certain types of time-integrated plaquette observables, despite the underlying dynamics being non-interacting.
Loredana M. Vasiloiu +3 more
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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.
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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
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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
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Trajectories of symptoms in the acute phase of COVID-19 infection and their association with anxiety and depression 2 years after infection. [PDF]
BMC PsychiatryWen J +6 more
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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
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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
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