Decomposition scheme in continuous dissipative chaotic systems and role of strange attractors

An energy potential function is constructed for a Lorenz-like piecewise continuous dissipative system. Using this nonincreasing potential function, the system's dynamics is decomposed into a gradient component, accounting for energy dissipation; and a rotation component, facilitating energy conserved motion. Each part has an individual role of determining the strangeness or chaoticness of the attractor.