 This definition has at least two virtues. First, it can be proven that Chaos\(_{h}\) implies Chaos\(_{d}\). Second, it yields exponential divergence, so we get SD, which is what many people expect for chaotic systems. However, it has a significant disadvantage in that it cannot be applied to invertible maps, the kinds of maps characteristic of many systems exhibiting Hamiltonian chaos. A Hamiltonian system is one where the total kinetic energy plus potential energy is conserved; in contrast, dissipative systems lose energy through some dissipative mechanism such as friction or viscosity. Hamiltonian chaos, then, is chaotic behavior in a Hamiltonian system.