DETECTION OF LIMIT CYCLE BIFURCATIONS USING HARMONIC BALANCE METHODS
In this paper, bifurcations of limit cycles close to certain singularities of the vector fields are explored using an algorithm based on the harmonic balance method, the theory of nonlinear feedback systems and the monodromy matrix. Period-doubling, pitchfork and Neimark–Sacker bifurcations of cycles are detected close to a Gavrilov–Guckenheimer ...
Robbio, Federico I. +2 more
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An efficient steady-state analysis of the eddy current problem using a parallel-in-time algorithm
This paper introduces a parallel-in-time algorithm for efficient steady-state solution of the eddy current problem. Its main idea is based on the application of the well-known multi-harmonic (or harmonic balance) approach as the coarse solver within the ...
De Gersem, Herbert +2 more
core +1 more source
The Duffing-harmonic oscillator is a common model for nonlinear phenomena in science and engineering. In this paper, a new analytical technique has been presented to determine approximate periods of a strongly nonlinear Duffing-harmonic oscillator ...
Md. Alal Hosen, M.S.H. Chowdhury
doaj +1 more source
Идентификация параметров нелинейностей электромеханических систем энергетическим методом [PDF]
This paper presents a mathematical apparatus for determining the parameters of nonlinear electromechanical system, represented by piecewise linear functions on the basis of the harmonic approximation in conjunction with the energy method.
Мосюндз, Дарья Андреевна
core
Parametric identification of the dynamics of inter-sectoral balance: modelling and forecasting
This work is devoted to modelling and identification of the dynamics of the inter-sectoral balance of a macroeconomic system. An approach to the problem of specification and identification of a weakly formalized dynamical system is developed.
Kostylenko, Olena +2 more
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Nonlinear damped forced oscillators with quadratic-biquadratic nonlinearities
A modified harmonic balance method (MHBM) has been extended for solving strongly nonlinear damped forced oscillators with quadratic-biquadratic nonlinearities. Depending on the parameter values and initial conditions, its behavior is quite complex.
Kamrunnahar Liya +2 more
doaj +1 more source
Harmonic Balance Method for Chaotic Dynamics in Fractional-Order Rössler Toroidal System
This paper deals with the problem of determining the conditions under which fractional order Rössler toroidal system can give rise to chaotic behavior. Based on the harmonic balance method, four detailed steps are presented for predicting the existence ...
Huijian Zhu
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Harmonic balance analysis for semiconductor lasers under large-signal modulation [PDF]
The dynamic characteristics of an edge-emitting laser under large-signal modulation are analyzed in the frequency domain using a harmonic balance method on device level.
Odermatt, Stefan +2 more
core
Application of harmonic balance method for solving non-linear equations of motion
This article presents the advantages and limitations of a harmonic balance method applied for solving non-linear equations of monition. This method provides an opportunity to find stable and unstable periodic solutions, which was demonstrated for a few ...
Kostek Robert
doaj +1 more source
Weak periodic solutions of x x 1 = 0 and the Harmonic balance method [PDF]
MURPHYS2016Agraïments: The first author is supported by FONDECYT Postdoctoral fellowship 3150131/2015 and was supported by the grant FPU AP2009-1189.Abstract.
García Saldaña, Johanna Denise +1 more
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