The dynamical rigid body with memory
Ion Doru Albu, Mihaela Neamtu, Dumitru Opris
TL;DR
This paper explores advanced models of rigid body dynamics incorporating memory effects, such as distributed delays and fractional derivatives, analyzing their stationary states to understand complex physical behaviors.
Contribution
It introduces and analyzes the dynamics of the revised rigid body with memory effects, including distributed delays and fractional derivatives, which are novel extensions of classical rigid body models.
Findings
Stationary states depend on memory parameters
Distributed delays influence stability
Fractional dynamics reveal new behaviors
Abstract
In the present paper we describe the dynamics of the revised rigid body, the dynamics of the rigid body with distributed delays and the dynamics of the fractional rigid body. We analyze the stationary states for given values of the rigid body's parameters.
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Taxonomy
TopicsChaos control and synchronization · Quantum chaos and dynamical systems · Mathematical and Theoretical Epidemiology and Ecology Models