Normal form solutions of dynamical systems in the basin of attraction of their fixed points
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Publication:1118232
DOI10.1016/S0167-2789(98)90007-0zbMath0668.58031MaRDI QIDQ1118232
George Tsarouhas, Tassos C. Bountis, Russell L. Herman
Publication date: 1988
Published in: Physica D (Search for Journal in Brave)
fixed pointbasin of attractionLotka-Volterra systemnormal form theorychaotic orbitsdissipative Duffing's equation
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Stability theory for smooth dynamical systems (37C75) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (2)
Minimal normal forms in harmonic oscillations with small nonlinear perturbations ⋮ On the application of normal forms near attracting fixed points of dynamical systems
Cites Work
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Analytical description of the basin and the transients of a point attractor of the Hénon mapping
- Application of normal forms to the Lorenz model in the subcritical region
- On the singularity analysis of intersecting separatrices in near- integrable dynamical systems
- On the application of normal forms near attracting fixed points of dynamical systems
- Regular and stochastic motion
- On the integrability of systems of nonlinear ordinary differential equations with superposition principles
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