Publicación: ON THE GLOBAL DYNAMICS OF A THREE-DIMENSIONAL FORCED-DAMPED DIFFERENTIAL SYSTEM
Fecha
2020
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JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
Resumen
IN THIS PAPER BY USING THE POINCARÉ COMPACTIFICATION OF ?3 WE MAKE A GLOBAL ANALYSIS OF THE MODEL X? = ?AX + Y + YZ, Y? = X ? AY + BXZ, Z? = CZ ? BXY. IN PARTICULAR WE GIVE THE COMPLETE DESCRIPTION OF ITS DYNAMICS ON THE INFINITY SPHERE. FOR A + C = 0 OR B = 1 THIS SYSTEM HAS INVARIANTS. FOR THESE VALUES OF THE PARAMETERS WE PROVIDE THE GLOBAL PHASE PORTRAIT OF THE SYSTEM IN THE POINCARÉ BALL. WE ALSO DESCRIBE THE ? AND ?-LIMIT SETS OF ITS ORBITS IN THE POINCARÉ BALL.
