On the behavior of dynamic systems in the vicinity of existence boundaries of periodic motions

DOI10.1016/0021-8928(77)90113-7zbMath0387.70029OpenAlexW1983907640MaRDI QIDQ1249957

M. I. Feĭgin

Publication date: 1978

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(77)90113-7

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability for problems in linear vibration theory (70J25)

Related Items

The dynamics of systems near to grazing collision, The increasingly complex structure of the bifurcation tree of a piecewise-smooth system, On the structure of C-bifurcation boundaries of piecewise continuous systems, Certain cases of loss of control over the motion of symmetric systems, Analytical methods in the theory of vibro-impact systems, Bifurcations in impact systems., Bifurcations and transition phenomena in an impact oscillator.

Cites Work

• Unnamed Item
• On the generation of sets of subharmonic modes in a piecewise-continuous system
• On the theory of the sliding state in dynamical systems with collisions
• Doubling of the oscillation period with C-bifurcations in piecewise-continuous systems
• On approximations and the coarseness of the parameter space of a dynamic system