Energy function and complex dynamics from a jerk system
Jinhua Yu,
Zeric Tabekoueng Njitacke,
Donghua Jiang
et al.
Abstract:Jerk, as a mathematical concept, is used in mechanics to describe the rate of change of acceleration and plays a crucial role in the design of control systems for machines and vehicles. Therefore, it is important to master the various states and the energy released during the change of acceleration. This is why a new simple jerk function introduced afterward, energy released, is derived from a Hamilton function using the Helmholtz theorem. The condition of having a stable or unstable rate of change of accelera… Show more
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