Arithmetic properties of topological invariants of systems with nonstructurally stable homoclinic trajectories
From MaRDI portal
Publication:1097563
DOI10.1007/BF01056417zbMath0635.58025MaRDI QIDQ1097563
L. P. Shil'nikov, Sergey V. Gonchenko
Publication date: 1987
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Related Items
Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits, Classification of the simplest diffeomorphisms of the sphere \(S^{2}\) with one stability modulus, Mathematical problems of nonlinear dynamics: A tutorial, Bifurcations of systems with structurally unstable homoclinic orbits and moduli of \(\Omega\)-equivalence, On bifurcations of area-preserving and nonorientable maps with quadratic homoclinic tangencies, On Bifurcations of Homoclinic Tangencies in Area-Preserving Maps on Non-orientable Manifolds, Criteria on existence of horseshoes near homoclinic tangencies of arbitrary orders, Invariants of \(\Omega\)-conjugacy of diffeomorphisms with a nongeneric homoclinic trajectory, On cascades of elliptic periodic points in two-dimensional symplectic maps with homoclinic tangencies, On dynamic properties of diffeomorphisms with homoclinic tangency, Homoclinic tangencies with infinitely many asymptotically stable single-round periodic solutions, On two-dimensional area-preserving maps with homoclinic tangencies that have infinitely many generic elliptic periodic points, Mathematical Problems of Nonlinear Dynamics: A Tutorial, On models with non-rough Poincaré homoclinic curves
Cites Work
