Abstract We study the integrability of 2D Hamiltonian systems $$H_\mu =\frac{1}{2}(p_1^2+p_2^2) + \omega (p_1q_2-p_2q_1) -\tfrac{\mu }{r}+ V(q_1,q_2)$$ H μ = 1 2 ( ...

A discrete gyroscopic system is characterized by 2n first-order ordinary differential equations defined one symmetric and skew-symmetric, which describes the motion of a spinning body containing elastic parts. In this paper, we consider inverse problems such system: Given partial spectral data, find that it desired data. The general solution problem given best approximation to pair matrices pro...

Despite all efforts in the past, brake squeal is still a problem. Even detailed simulations only hardly allow for good predictions and the discrepancy to experiments may be considerable from case to case. This paper revisits the general pattern of the equations of motion of moving continua and shows how transport motions provoke gyroscopic terms. Concerning the contact formulation, Lagrange-Mul...

The standard relation between the field momentum and the force is generalized for the system with a field singularity: in addition to the regular force, there appears the singular one. This approach is applied to the description of the gyroscopic dynamics of the classical field with topological defects. The collective– variable Lagrangian description is considered for gyroscopical systems takin...

Techniques using gyroscopic forces and scalar potentials are used to create swarming behaviors for multiple agent systems. The methods result in collision avoidance between the agents as well as with obstacles.