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**Dynamical behavior of a nonlinear single-degree-of-freedom system with negative viscous and positive frictional damping.**
*(English)*
Zbl 1238.70017

From the text (conclusion): This short note presents the dynamical behavior of an autonomous nonlinear s.d.o.f. system. A negative viscous damping model and the Coulomb dry friction model are added to the undamped linear system. Where \(-1 < \delta <0\) an unstable limit cycle appears, dividing the phase-plane into the region of stable motion (inside the limit cycle) and unstable motion (outside the limit cycle). In the case of \(\delta \leq -1\) heteroclinic orbits divide the phase-plane into regions of stable and unstable motion. Criteria are established to find out the stability of the the given initial condition.

### MSC:

70K40 | Forced motions for nonlinear problems in mechanics |

70F40 | Problems involving a system of particles with friction |

### Keywords:

nonlinear system; Coulomb friction; negative viscous damping; stability of motion; mechanics of solids and structures
Full Text:
DOI

### References:

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