The bifurcation analysis and the Conley index in mechanics
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Publication:6654218
I. S. Mamaev, A. V. Borisov, A. V. Bolsinov
Publication date: 18 December 2024
Published in: Nelineĭnaya Dinamika (Search for Journal in Brave)
fixed pointMorse indexConley indexbifurcation diagramHamiltonian dynamicsbifurcation analysisrelative equilibrium
Explicit solutions, first integrals of ordinary differential equations (34A05) Vortex methods applied to problems in fluid mechanics (76M23)
Cites Work
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- The stability of motion of rectilinear vortices in ring formation.
- Dissipative \(N\)-point-vortex models in the plane
- Clustered equilibria of point vortices
- On the problem of motion of vortex sources on a plane
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- The Hamiltonian Hopf bifurcation
- On Levi's problem and the imbedding of real-analytic manifolds
- CLASSICAL MECHANICS OF DIPOLAR ASYMMETRIC TOP MOLECULES IN COLLINEAR STATIC ELECTRIC AND NONRESONANT LINEARLY POLARIZED LASER FIELDS: ENERGY-MOMENTUM DIAGRAMS, BIFURCATIONS AND ACCESSIBLE CONFIGURATION SPACE
- Finiteness of stationary configurations of the four-vortex problem
- Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
- Hamiltonisation of non-holonomic systems in the neighborhood of invariant manifolds
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