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http://repositoriodigital.academica.mx/jspui/handle/987654321/85419| Título: | A limit-cycle solver for nonautonomous dynamical systems |
| Palabras clave: | Nonautonomous dynamical systems nonlinear circuits limit cycles differentiation matrices trigonometric polynomials |
| Fecha de publicación: | 31-Jul-2012 |
| Editorial: | Revista mexicana de física |
| Descripción: | A numerical technique for finding the limit cycles of nonautonomous dynamical systems is presented. This technique uses a matrix representation of the time derivative obtained through the trigonometric interpolation of periodic functions. This differentiation matrix yields exact values for the derivative of a trigonometric polynomial at uniformly spaced points selected as nodes and can therefore be used as the main ingredient of a numerical method for solving nonlinear dynamical systems. We use this technique to obtain some limit cycles and bifurcation points of a sinusoidally driven pendulum and the steady-state response of an electric circuit. |
| Other Identifiers: | http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2006000300011 |
| Aparece en las Colecciones: | Revista Mexicana de Física |
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