Por favor utiliza este link para citar o compartir este documento: 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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