Two-timing, Averaging, and Renormalization Methods to Solve Weakly Nonlinear Oscillator Equations on Long Time Intervals
Obtaining the asymptotic solution of the weakly nonlinear scalar oscillator resulting amplitude equation. The regular perturbation method generally feature secular behavior. The renormalization group method proposed by Chen, Goldenfeld, and Oono.
Подобные документы
Induced transitions between a limit cycle and the state of the rest of the van der Pol has a threshold and disappears at rest. The threshold value is directly proportional to the product of the energy of oscillation and the coefficient of friction.
статья, добавлен 04.10.2014The problem of gauge transformation of the electromagnetic potentials in classical electrodynamics (CED). Experimental vidence by Nikola Tesla: longitudinal vacuum waves, electrodynamic forces, appled power from static charge and scalar field in CED.
статья, добавлен 11.09.2012The method of metal-stimulated etching and electrochemical anodic etching were compared. The photoelectric properties of the resulting structure are influenced by the processes of recharging traps. The highly sensitive photodiodes in solar energy.
статья, добавлен 27.02.2021Development of a method for increasing the energy efficiency of a household refrigerator by intensifying the process of heat removal from the refrigeration unit with modern fans for blowing the surfaces of the compressor and condenser unit of the device.
статья, добавлен 20.06.2020Analysis of obtaining coatings based on (Ti-Zr-Nb)N by means of vacuum-arc deposition method. Study of their physical and mechanical properties and tribotechnical characteristics. Analysis of chemical composition of elements in the coating (Ti-Zr-Nb)N.
статья, добавлен 23.12.2016The essence of the method of a round flat constant power probe used to determine the thermal characteristics of solids. Formulas for calculating thermal conductivity and thermal diffusivity. Measuring equipment, analysis of experimental results.
статья, добавлен 30.05.2021A theoretical derivation of the homogeneous Maxwell equations, based on Stokes theorem for Minkowski space tensors. The Maxwell equations for the electromagnetic field and the Lorentz 4-force law for a charged particle. A consequence of the antisymmetry.
статья, добавлен 11.09.2012Lorenz system a model, that allows to describe the behavior of the plasma-condensate system near phase equilibrium. Influence of the fluctuations of the growing surface temperature the evolution equation and the corresponding Fokker-Planck equation.
статья, добавлен 30.07.2016Design of the experimental setup, depending on the time of flight fragment separator COMBAS and multi-channel recording system developed for the study of light exotic nuclei. The use of precise correlation method for resonance spectroscopy collapse.
статья, добавлен 02.09.2013Nanocomposite multicomponent coating obtained by vacuum arc deposition method. Analysis of the of the structure of the coating, elemental distribution and composition of the impurity elements using the methods Rutherford backscattering, mass spectrometry.
статья, добавлен 30.07.2016Method of synchronized pulsewidth modulation has been applied for balanced control of dual inverter-fed drive with an open-end-winding induction motor. Simulations give the behavior of dual inverter-fed systems with continuous and discontinuous versions.
статья, добавлен 02.02.2019Identification of factors to consider when choosing a more optimal method to improve the energy efficiency of wind turbines at low wind speeds. Application of electric drive control technologies. Use of synchronous generators with permanent magnets.
статья, добавлен 09.12.2024The quantum theory of a free real scalar eld as one of the few quantum eld theories that are exactly soluble. The classical structures as relevant for quantization and is used for constructing the Schrodinger representation in the general case.
статья, добавлен 09.09.2012Magnetite nanoparticles were synthesized via co-precipitation of iron (II) and iron (III) salts by potassium hydroxide or ammonium hydroxide in aqueous solution. Magnetic properties of magnetite nanoparticles were investigated by magnetometry method.
статья, добавлен 30.07.2016The problem of decomposition of the relativistic equations for two particles in powers of 1/c to higher orders. Salpeter equation-Breit for hermitian forms with interaction. Generating functions for the first iteration of the transformed hamiltonian.
статья, добавлен 13.10.2016A formal result of the longitudinal force acting on a moving potential. The equivalence between the adiabatic perturbation theory and the kinetic theory for the longitudinal force in the dilute gas limit. The longitudinal force. Long-ranged potentials.
статья, добавлен 11.09.2012Analysis of parameters of the impact model measuring the accuracy of orientation using the QUEST and TRIAD method. Analysis of the influence of the parameters of the measuring model on the accuracy of determining the orientation of space vehicles.
статья, добавлен 22.12.2016Investigation of the differential capacity of a vibrating Coriolis gyroscope to suppress an external shock. Evaluation of the pulse amplitude in the voltage caused by external mechanical impact Analysis of the output signals of two measuring channels.
статья, добавлен 22.12.2016Infinitesimal transformations, Maxwell tensor and electromagnetic forces. The Maxwell field tensor. Integral curves associated with the equations of motion and the end of the Lorentz transformation. Electromagnetic force and geometry of space-time.
статья, добавлен 11.09.2012The propagation of electromagnetic waves in inhomogeneous isotropic lines in the presence of expofunctional influences. Differential equations like the wave equation relative to the unknown electromagnetic field intensities, criteria of solvability.
статья, добавлен 26.06.2016General equation of motion for a radiating electron. The origin of the Schott energy in the Abraham-Lorentz version of electrodynamic radiation theory. The Ford-O'Connell equation, the derived from a microscopic Hamiltonian for an electron with structure.
статья, добавлен 11.09.2012The synergetic model of boundary friction - the system of equations for the stress, strain and temperature, describing the nontrivial behavior of the ultra thin lubricant film. The influence of shear modulus deformation defect on hysteresis phenomena.
статья, добавлен 30.07.2016The general problem of dissipation in macroscopic large-amplitude collective motion and its relation to the energy diffusion of the intrinsic degrees of freedom of a nucleus is studied. Different dynamical regimes of the intrinsic nuclear motion.
статья, добавлен 07.10.2013Transients in electrical power systems, short-time Fourier transform, wavelet transform, complex wavelets, wave spectrum, scalogram, frequency evaluation, phases and amplitudes of sinusoidal oscillations, evaluation accuracy and processing time.
статья, добавлен 08.05.20134-dimensional (4D) aether formed by a fluid of preons in continual motion in a 4D-space, where the time dimension is as a spatial dimensions. A specializing the equation of motion to an inviscid constant density region of 4D moving and excess energy.
статья, добавлен 11.09.2012