On the application of normal forms near attracting fixed points of dynamical systems

DOI10.1016/0378-4371(88)90109-4zbMath0683.58032OpenAlexW2028715975MaRDI QIDQ1824927

George Tsarouhas, Tassos C. Bountis

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0378-4371(88)90109-4

zbMATH Keywords

dissipative dynamical systemsintegrable systemssingularitybasin boundaryhyperbolic fixed point

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (1)

Normal form solutions of dynamical systems in the basin of attraction of their fixed points

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• On the complete and partial integrability of non-Hamiltonian systems
• Application of normal forms to the Lorenz model in the subcritical region
• Normal form solutions of dynamical systems in the basin of attraction of their fixed points
• On the singularity analysis of intersecting separatrices in near- integrable dynamical systems
• Regular and stochastic motion
• Unnamed Item

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