Add to ORKGAbstract-Cyclic systems with two essential coordinates are studied. The particular case is investigated, when a steady motion of the system is neutrally stable in linear approximation due to gyroscopic effects on an originally unstable equilibrium. Conditions are given to ensure the preservation of stability for the non-linear conservative system. In addition, a universal loss of stability is proved as a result of non-total dissipation or acceleration acting on the system
We consider Lagrangian systems in the presence of nondegenerate gyroscopic forces. The problem of st...
Asymptotic stability is examined for a linear potential system perturbed by small gyroscopic, dissip...
Abstract: We continue our investigation of stability of the linear Hamiltonian system whic...
Gyroscopic stabilization of a linear conservative system, which is statically unstable, can be eithe...
B. L. Ly2 The author's method yields excellent results, but it requires the determination of so...
Sufficient conditions are obtained for the stability and instability of linear con-servative gyrosco...
Gyroscopic stabilization of a linear conservative system, which is statically unstable, can be eithe...
It is analyzed a stability problem for a holonomic system S, with n degree of freedom, having n-m cy...
Stability of a linear autonomous non-conservative system in the presence of potential, gyroscopic, d...
Stability of a linear autonomous non-conservative system in the presence of potential, gyroscopic, d...
In this paper, we consider the geometry of gyroscopic systems with symmetry, starting from an intrin...
Oscillations of a purely gyrostatic system with two degrees of freedom are constituted by elliptic p...
The behaviour of two degrees of freedom gyroscopes subject to monofrequency vibration is investigate...
Stability of a linear autonomous non-conservative system in the presence of potential, gyroscopic, d...
The study deals with the possibility of stabilization of conservative mechanical systems in the ...
We consider Lagrangian systems in the presence of nondegenerate gyroscopic forces. The problem of st...
Asymptotic stability is examined for a linear potential system perturbed by small gyroscopic, dissip...
Abstract: We continue our investigation of stability of the linear Hamiltonian system whic...
Gyroscopic stabilization of a linear conservative system, which is statically unstable, can be eithe...
B. L. Ly2 The author's method yields excellent results, but it requires the determination of so...
Sufficient conditions are obtained for the stability and instability of linear con-servative gyrosco...
Gyroscopic stabilization of a linear conservative system, which is statically unstable, can be eithe...
It is analyzed a stability problem for a holonomic system S, with n degree of freedom, having n-m cy...
Stability of a linear autonomous non-conservative system in the presence of potential, gyroscopic, d...
Stability of a linear autonomous non-conservative system in the presence of potential, gyroscopic, d...
In this paper, we consider the geometry of gyroscopic systems with symmetry, starting from an intrin...
Oscillations of a purely gyrostatic system with two degrees of freedom are constituted by elliptic p...
The behaviour of two degrees of freedom gyroscopes subject to monofrequency vibration is investigate...
Stability of a linear autonomous non-conservative system in the presence of potential, gyroscopic, d...
The study deals with the possibility of stabilization of conservative mechanical systems in the ...
We consider Lagrangian systems in the presence of nondegenerate gyroscopic forces. The problem of st...
Asymptotic stability is examined for a linear potential system perturbed by small gyroscopic, dissip...
Abstract: We continue our investigation of stability of the linear Hamiltonian system whic...