Behavior of orbits near a critical equilibrium of a two-dimensional system

DOI10.1016/S0362-546X(00)85008-7zbMath0973.34030MaRDI QIDQ1570461

Stephen R. Bernfeld

Publication date: 27 November 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

stabilityperturbationattractorcritical equilibrium

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05) Attractors of solutions to ordinary differential equations (34D45)

Cites Work

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• Existence and stability of bifurcating tori in a neighborhood of an equilibrium position

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