Chaos in infinite dimensions: a generalization of a theorem of Sil'nikov

DOI10.1016/0362-546X(93)90041-PzbMath0804.34053OpenAlexW1990613945MaRDI QIDQ4275610

Elías Tuma, C. Miguel Blázquez

Publication date: 21 January 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(93)90041-p

zbMATH Keywords

evolution equationsBanach spacechaotic behaviorhomoclinic solutionsaddle-focus equilibriumShil'nikov theorem

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

• Unnamed Item
• Exponential expansion with Šil'nikov's saddle-focus
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• ON SYSTEMS WITH A SADDLE-FOCUS HOMOCLINIC CURVE
• Bifurcation from a homoclinic orbit in parabolic differential equations
• A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE

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