Covers both classical and recent bifurcation methods for planar vector fields for broad applicability
Includes detailed techniques for studying local bifurcations and limit cycles to enhance analytical skills
Applies to both regular and singular limit periodic sets, expanding problem scope
Suitable for both theoretical research and practical computations, increasing versatility
Well-balanced exposition suitable for teaching and advanced study
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Modern Birkhäuser Classics Roussarie, Robert
In a coherent, exhaustive and progressive way, this book presents the tools for studying local bifurcations of limit cycles in families of planar vector fields. A systematic introduction is given to such methods as division of an analytic family of functions in its ideal of coefficients, and as