As you continue to explore team leadership being different from team management, you now need to look at another aspect of the team.
A team is also a system. When you look at it from that angle, you need to recognize that systems come in many forms. One way to look at them is either mechanical or organic. Mechanical systems are things like computers, cars, and factories. Mechanical systems are, by definition, stable. You may feel that your car is "moody," but that probably reflects more about you than the car. The car just either works or not. Meaning, it continues to work up to a point, then it snaps and goes kaput.
Human beings—the core elements of your team—are organic systems, as are cats, cauliflowers or caterpillars. By definition, organic systems are unstable. They are always in transition from one state to another. Humans go from happy to excited to sad, from wide awake to drowsy, from enthusiastic to reluctant and back...