The past in short hypercycles

DOI10.1007/BF00276104zbMath0715.92019OpenAlexW2034465956WikidataQ113909157 ScholiaQ113909157MaRDI QIDQ752582

Aulbach, Bernd, Dietrich Flockerzi

Publication date: 1989

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00276104

zbMATH Keywords

alpha-limit setsbackward behaviordescent of the trajectoriesforward behaviorhomogeneous hypercyclesstate simplex

Mathematics Subject Classification ID

Problems related to evolution (92D15) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Applications of dynamical systems (37N99)

Related Items (6)

Immune networks modeled by replicator equations ⋮ Non-existence of Shilnikov chaos in continuous-time systems ⋮ Existence of heteroclinic and homoclinic orbits in two different chaotic dynamical systems ⋮ Heteroclinic Trajectory and Hopf Bifurcation in an Extended Lorenz System ⋮ On Singular Orbits and Global Exponential Attractive Set of a Lorenz-Type System ⋮ Bernd Aulbach—Obituary

Cites Work

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• Linearization near an integral manifold
• Invariant manifolds and the concept of asymptotic phase

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