Cartesianism means the philosophy of Descartes and his followers.
Spinoza, Malebranche and Leibniz are the main representatives of Cartesianism after Descartes.
Leibniz developed the Cartesian physics, created calculus, discovered the spiritual strength, which is the principle of movement in the world. Leibniz and founded a dynamic and a spiritual philosophy.
Malebranche has deepened the cogito to find a presence in thought deeper than ourselves (God). The rationalism of Malebranche develops around a mystical intuition.
Spinoza tried to build a permanent system of man and God (Ethics).
In the eighteenth century, Cartesianism has radiated in the idealistic philosophies (Kant), spiritualists or materialists (Diderot) who claim to his physics.
In the twentieth century, Husserl resume the theory of tabula rasa advocated by Descartes to rebuild modern philosophy, phenomenology.