On the applicability of the approximate Poincaré mapping to the analysis of dynamics induced by ODE systems. I: Proximity of mappings

DOI10.1016/0167-2789(94)00236-JzbMath0889.58046OpenAlexW1991646579MaRDI QIDQ1890681

L. A. Bakaleinikov, Alexander S. Silbergleit

Publication date: 21 May 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(94)00236-j

zbMATH Keywords

ODE systemsapproximate Poincaré mapping

Mathematics Subject Classification ID

Topological dynamics (37B99) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (3)

Chaos explosion and topological horseshoe in three-dimensional impacting hybrid systems with a single impact surface ⋮ On the applicability of the approximate Poincaré mapping to the analysis of dynamics induced by ODE systems. II: Proximity of coordinate partial derivatives of Poincaré mappings ⋮ Periodic sinks and periodic saddle orbits induced by heteroclinic bifurcation in three-dimensional piecewise linear systems with two zones

Cites Work

• Unnamed Item
• Global bifurcations and chaos. Analytical methods
• Invariant manifolds

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