Artículos de revistas
Comportamiento asintótico para el periodo del péndulo simple
Autor
CHAOS CADOR, L.
CHAOS URDAMPILLETA, F.
Institución
Resumen
SE ESTUDIA EL COMPORTAMIENTO ASINTÓTICO DEL PERIODO PARA UN PÉNDULO SIMPLE SOMETIDO A CONDICIONES INICIALES ARBITRARIAS, ANALIZANDO LAS SOLUCIONES VIBRACIONAL Y ROTACIONAL, LAS CUALES MUESTRAN, EN EL LÍMITE ASINTÓTICO, EL MISMO COMPORTAMIENTO CUANDO LA ENERGÍA TIENDE A MGL. SE PRESENTAN GRÁFICAMENTE RESULTADOS NUMÉRICOS DE LAS SOLUCIONES CONCLUYENDO QUE EL COMPORTAMIENTO ASINTÓTICO DEL PERIODO TIENDE A INFINITO DE FORMA LOGARÍTMICA.AbstractWE INVESTIGATE THE ASYMPTOTIC BEHAVIORS OF THE PERIOD FOR A SIMPLE PENDULUM WITH ARBITRARY INITIAL CONDITIONS. THE STUDY OF THE VIBRATIONAL AND ROTATIONAL SOLUTIONS FOR THE SIMPLE PENDULUM SHOWS THAT IN THE ASYMPTOTIC LIMIT THE BEHAVIOR IS OF THE SAME TYPE FOR BOTH MOTIONS, WHEN THE ENERGY TENDS TO MGL. HERE WE PRESENT A LOGICAL DEDUCTION FOR THE BEHAVIOR IN BOTH CASES. WE OBTAIN THAT THE ASYMPTOTIC BEHAVIOR OF THE PERIOD GOES TO INFINITY LOGARITHMICALLY FOR THE TWO SOLUTIONS OF THE PENDULUM. WE INVESTIGATE THE ASYMPTOTIC BEHAVIORS OF THE PERIOD FOR A SIMPLE PENDULUM WITH ARBITRARY INITIAL CONDITIONS. THE STUDY OF THE VIBRATIONAL AND ROTATIONAL SOLUTIONS FOR THE SIMPLE PENDULUM SHOWS THAT IN THE ASYMPTOTIC LIMIT THE BEHAVIOR IS OF THE SAME TYPE FOR BOTH MOTIONS, WHEN THE ENERGY TENDS TO MGL. HERE WE PRESENT A LOGICAL DEDUCTION FOR THE BEHAVIOR IN BOTH CASES. WE OBTAIN THAT THE ASYMPTOTIC BEHAVIOR OF THE PERIOD GOES TO INFINITY LOGARITHMICALLY FOR THE TWO SOLUTIONS OF THE PENDULUM.