Quantum nonlinear dynamics of continuously measured systems [PDF]
, 2000 Classical dynamics is formulated as a Hamiltonian flow on phase space, while quantum mechanics is formulated as a unitary dynamics in Hilbert space. These different formulations have made it difficult to directly compare quantum and classical nonlinear ...
A. Barchielli +31 more
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The 2015 Nonlinear Mechanics and Dynamics Research Institute
, 2016 Matthew R. W. Brake +4 more
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New Results of Some of the Conformable Models Arising in Dynamical Systems
Advances in Mathematical Physics, 2022 This article investigates the new results of three nonlinear conformable models (NLCMs). To study such varieties of new soliton structures, we perform the generalized Kudryashov (GK) method.
Md Nur Alam +5 more
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Nonlinear phenomena in mechanical system dynamics [PDF]
Journal of Physics: Conference Series, 2012 The goal of the paper is to present selected, untypical, and intuitively unexpected phenomena from nonlinear mechanics. Particular attention is paid to the dynamics of self-, parametric and external excited systems. Interactions between these various vibration types lead mainly to quasi-periodic responses.
J Warminski +3 more
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Uncertainty Relations in the Madelung Picture Including a Dissipative Environment
Entropy, 2023 In a recent paper, we have shown how in Madelung’s hydrodynamic formulation of quantum mechanics, the uncertainties are related to the phase and amplitude of the complex wave function.
Dieter Schuch, Moise Bonilla-Licea
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Nonlinear Dynamic Analysis of a Piezoelectric Energy Harvester with Mechanical Plucking Mechanism
Sensors, 2023 In this study, we propose an analytical approach based on the modified differential transform method to investigate the dynamic behavior of a plucking energy harvester. The harvester consists of a piezoelectric cantilever oscillator and a rotating plectrum.
Jinhong Noh +3 more
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Quantum and classical chaos for a single trapped ion [PDF]
, 1999 In this paper we investigate the quantum and classical dynamics of a single trapped ion subject to nonlinear kicks derived from a periodic sequence of Guassian laser pulses.
A. J. Scott +9 more
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Monte-Carlo Simulation of Domain-Wall Network in Two-dimensional Extended Supersymmetric Theory [PDF]
, 2001 We will show that 2-dimensional N=2-extended supersymmetric theory can have solitonic solution using the Hamilton-Jacobi method of classical mechanics. Then it is shown that the Bogomol'nyi mass bound is saturated by these solutions and triangular mass ...
Motoyui, Nobuyuki +2 more
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Statistical mechanics of nonlinear dynamical systems [PDF]
Nelineinaya Dinamika, 2009 Summary: With the help of mathematical modeling, we study the behavior of a gas \(( \sim 10^6\) particles) in a one-dimensional tube. For this dynamical system, we consider the following cases: \begin{itemize} \item[--] collisionless gas (with and without gravity) in a tube with both ends closed, the particles of the gas bounce elastically between the ...
Vas'kin, V. V. +2 more
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Quasi-static Stability of Microscale Contactless Inductive Suspension with Electrostatic Stiffness Control Loop [PDF]
Journal of Applied and Computational MechanicsThe present paper is devoted to analytical investigation of the nonlinear dynamics of a conductive rigid ring in a contactless electromagnetic suspension.
Pavel Udalov +4 more
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