The term "dual-core" typically refers to a computer processor that contains two separate cores, which are essentially miniature central processing units (CPUs) within one larger CPU. Each core can execute its own instructions simultaneously, allowing for faster and more efficient processing of multiple tasks at once. So when the phrase "one's dual core" is used figuratively or metaphorically, it could refer to someone who has a strong ability to handle two things or challenges at the same time, or to someone with a balanced nature that can effectively manage both their personal and professional lives simultaneously.