Temat: nonlinear oscillators - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On Noise Analysis of Oscillators Based on Statistical Mechanics
Autorzy:: Thiessen, T.
Mathis, W.
Powiązania:: https://bibliotekanauki.pl/articles/226855.pdf
Data publikacji:: 2010
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: nonlinear oscillators
thermal noise
statistical mechanics
Opis:: In this paper a new approach of thermal noise analysis of electronic oscillators is presented. Although nonlinear electronic oscillators are one of the most essential subcircuits in electronic systems typical design concepts for these oscillators are based on ideas of linear circuits. Because the functionality of oscillators depends on nonlinearities, advanced design methods are developed where nonlinearities are an integral part. Since low voltage oscillator concepts have to be developed in modern IC technologies there is a need to include at least thermal noise aspects into the design flow. For this reason we developed new physical descriptions of thermal noise in electronic oscillators where we use ideas from nonequilibrium statistical mechanics as well as the Langevin approach. We illustrate our concepts by some examples.
Źródło:: International Journal of Electronics and Telecommunications; 2010, 56, 4; 357-366
2300-1933
Pojawia się w:: International Journal of Electronics and Telecommunications
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Analysis of vibration of three-degree-of-freedom dynamical system with double pendulum
Analiza drgań dynamicznego układu z podwójnym wahadłem o trzech stopniach swobody
Autorzy:: Sado, D.
Gajos, K.
Powiązania:: https://bibliotekanauki.pl/articles/281778.pdf
Data publikacji:: 2008
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: metoda wielu skal
nieliniowe równania drgań
nonlinear coupled oscillators
autoparametric vibrations
multiple scale method
Opis:: The nonlinear response of a three-degree-of-freedom vibratory system with a double pendulum in the neighborhood of internal and external resonances has been examined. Numerical and analytical methods have been applied for these investigations. Analytical solutions have been obtained by using the multiple scales method. This method is used to construct first-order non- linear ordinary differential equations governing the modulation of amplitudes and phases. Steady state solutions and their stability are computed for selected values of the system parameters.
W pracy przebadano drgania nieliniowego układu o trzech stopniach swobody z podwójnym wahadłem w otoczeniu rezonansów wewnętrznych i zewnętrznych. Badania przeprowadzono analitycznie i numerycznie. Rozwiązanie analityczne uzyskano przy użyciu metody wielu skali czasowych. Metoda posłużyła do zbudowania nieliniowych równań różniczkowych pierwszego rzędu opisujących modulację amplitud i faz. Rozwiązanie ustalone i jego stabilność zostały przedstawione dla wybranych wartości parametrów układu.
Źródło:: Journal of Theoretical and Applied Mechanics; 2008, 46, 1; 141-156
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: The stability conditions of the cubic damping Van der Pol-Duffing oscillator using the HPM with the frequency-expansion technology
Autorzy:: El-Dib, Y. O.
Powiązania:: https://bibliotekanauki.pl/articles/122293.pdf
Data publikacji:: 2018
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: homotopy perturbation method
nonlinear oscillators
cubic nonlinear damping van der Pol’s equation
nonlinear frequency analysis
stability analysis
metoda perturbacji homotopii
HPM
homotopijna metoda perturbacyjna
oscylator Van der Pol-Duffing
analiza stabilności
teoria perturbacji
oscylator nieliniowy
analiza częstotliwościowa
Opis:: In this paper, we perform the frequency-expansion formula for the nonlinear cubic damping van der Pol’s equation, and the nonlinear frequency is derived. Stability conditions are performed, for the first time ever, by the nonlinear frequency technology and for the nonlinear oscillator. In terms of the van der Pol’s coefficients the stability conditions have been performed. Further, the stability conditions are performed in the case of the complex damping coefficients. Moreover, the study has been extended to include the influence of a forcing van der Pol’ oscillator. Stability conditions have been derived at each resonance case. Redoing the perturbation theory for the van der Pol oscillator illustrates more of a resonance formulation such as sub-harmonic resonance and super-harmonic resonance. More approximate nonlinear dispersion relations of quartic and quintic forms in the squaring of the extended frequency are derived, respectively.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 3; 31-44
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Avoidance of artifacts in harmonic balance solutions for nonlinear dynamical systems
Autorzy:: Lentz, Lukas
von Wagner, Utz
Powiązania:: https://bibliotekanauki.pl/articles/1839629.pdf
Data publikacji:: 2020
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: nonlinear systems
harmonic balance
artifacts
Duffing oscillators
Opis:: Although nonlinear mechanical systems have been the topic of numerous investigations during the last decades, the research on suitable analysis methods is still ongoing. One method that is commonly known and still sees a lot of interest is the Harmonic Balance method. In the basic version of this method, only one harmonic is used to approximate a periodic solution, which allows for fairly easy application. A drawback is that this approach may lead to solutions that are inaccurate or even artifacts which are solutions that possess no physical relevance. In this article, it is demonstrated how an error criterion can be used to access the accuraccy of solutions and how artifacts can be indentified based on this assessment. Subsequently, stability analysis is performed for solutions that possess small errors. The method is applied to an asymmetric Duffing oscillator as well as to a system that consists of two linearly coupled Duffing oscillators. The authors gave a corresponding presentation of their work at PCM-CCM Kraków 2019.
Źródło:: Journal of Theoretical and Applied Mechanics; 2020, 58, 2; 307-316
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Impact oscillators : fundamentals and applications
Autorzy:: Trzaska, Z.
Powiązania:: https://bibliotekanauki.pl/articles/242533.pdf
Data publikacji:: 2015
Wydawca:: Instytut Techniczny Wojsk Lotniczych
Tematy:: nonlinear systems
impact oscillators
nonsmooth excitations
nonsmooth time transformation
hyperbolic numbers
Opis:: The paper presents results of the analysis of nonlinear oscillators with nonsmooth elements and nonlinear systems with nonsmooth forcing components. Main attention has been focused on highlighting specific properties of nonsmooth systems compared to their smooth counterparts. Nonsmooth transformation of the time variable and the replacement of initial issues by boundary problems have been taken as the base for the analytical method. Results of numerical simulations and computing in the form of graphs of displacements and velocity waveforms and attractors are presented. To fully identify the system's behaviour and meet high performance specifications recourse to model all dynamics together with their interactions has been taken into account. Strong interactions among the parts of the system are considered and the phenomenon of the impact is exhibited. It has been found that non-smooth dynamical systems reveal significant wealth of nonlinear phenomena, including a chaotic, that are unique to this potentially important class of nonlinear systems. In non-smooth systems at small change of parameters, a sudden transition from a stable periodic oscillation to the full range of chaotic oscillations may often occur. The dynamics of nonsmooth oscillations with shock external forcing is analysed by using a relatively new mathematical tool, which appears to be hyperbolic algebra. The key idea of this tool is steeped in of non-smooth time transformations (NSTT) for strongly nonlinear, but still smooth models.
Źródło:: Journal of KONES; 2015, 22, 1; 307-314
1231-4005
2354-0133
Pojawia się w:: Journal of KONES
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Application of coupled neural oscillators for image texture segmentation and modeling of biological rhythms
Autorzy:: Strumiłło, P.
Strzelecki, M.
Powiązania:: https://bibliotekanauki.pl/articles/908378.pdf
Data publikacji:: 2006
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: rytm biologiczny
oscylacja nieliniowa
stymulator serca
biological rhythms
nonlinear oscillations
networks of synchronised oscillators
texture segmentation
cardiac pacemakers
Opis:: The role of relaxation oscillator models in application fields such as modeling dynamic systems and image analysis is discussed. A short review of the Van der Pol,Wilson-Cowan and Terman-Wang relaxation oscillators is given. The key property of such nonlinear oscillators, i.e., the oscillator phase shift (called the Phase Response Curve) as a result of external pulse stimuli is indicated as a fundamental mechanism to achieve and sustain synchrony in networks of coupled oscillators. It is noted that networks of such oscillators resemble a variety of naturally occurring phenomena (e.g., in electrophysiology) and dynamics arising in engineering systems. Two types of oscillator networks exhibiting synchronous behaviors are discussed. The network of oscillators connected in series for modeling a cardiac conduction system is used to explain causes of important cardiac abnormal rhythms. Finally, it is shown that a 2D network of coupled oscillators is an effective tool for segmenting image textures in biomedical images.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2006, 16, 4; 513-523
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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