<p>This article presents a mechanical analysis and synchronization of a novel chaotic system using an optimal control approach. The system is modeled as a Kolmogorov-type structure and decomposed into four torque components such as external, internal, dissipative and inertial. Five distinct torque combinations are examined to uncover the origins of chaos and their physical implications. The study also explores the interchange among kinetic, potential and Hamiltonian energies with highlighting their mutual dependence on system dynamics. Results reveal that all four torque components are essential to induce chaos any combination of three fails to do so. Moreover, synchronization is achieved through optimal control with parameter estimations with confirmation of asymptotic stability.</p>