Homoclinic structures in infinite-dimensional systems

DOI10.1007/BF00969650zbMath0688.58031MaRDI QIDQ1263854

L. P. Shil'nikov, Lev M. Lerman

Publication date: 1988

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

homoclinic pointsinfinite dimensional systems

Mathematics Subject Classification ID

Infinite-dimensional manifolds (58B99) Dynamical systems with hyperbolic behavior (37D99)

Related Items

Persistence of Poincaré mappings in functional differential equations (with application to structural stability of complicated behavior), Nonuniform exponential dichotomies and Lyapunov functions, Parameterized stable/unstable manifolds for periodic solutions of implicitly defined dynamical systems

Cites Work

• 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
• Estimates of Nevanlinna characteristics of algebroid functions and their applications to differential equations
• A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam
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