Reversible systems. Stability at \(1:1\) resonance

DOI10.1016/0021-8928(92)90002-PzbMath0787.70012OpenAlexW1980305995MaRDI QIDQ1314195

P. S. Krasil'nikov, V. N. Tkhai

Publication date: 7 March 1994

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(92)90002-p

zbMATH Keywords

symmetryexistenceperiodic solutionsintegral manifoldsdiscrete automorphism grouptrivial equilibrium position

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Stability theory for smooth dynamical systems (37C75)

Related Items (3)

Dynamic analogues of Somigliana's formula for unsteady dynamics of elastic media with an arbitrary degree of anisotropy ⋮ On the stability of equilibrium of a mechanical system with tracking, potential, and small dissipative forces ⋮ Algebraic criteria for asymptotic stability at 1:1 resonance

Cites Work

• Reversible systems
• On stability of mechanical systems under the action of position forces
• On the stability of an autonomous Hamiltonian system with two degrees of freedom in the case of equal frequencies
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• The reversibility of mechanical systems
• Validation of finite segment cable models
• Periodic Solutions for Differential Systems with Symmetries
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Reversible systems. Stability at \(1:1\) resonance