Theory of Bifurcations

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An Introduction to Dynamical Systems and Chaos

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Abstract

Bifurcation means a topographical qualitative change in the orbit of a system. The bifurcation of a system had been first reported by the French mathematician Henri Poincaré in his work. The study of bifurcation is concerned with how the structural and qualitative changes occur when the parameters are changing. The co-dimensions one and two bifurcation theories with applications are discussed at length.

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Correspondence to G. C. Layek .

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Layek, G.C. (2024). Theory of Bifurcations. In: An Introduction to Dynamical Systems and Chaos. University Texts in the Mathematical Sciences. Springer, Singapore. https://doi.org/10.1007/978-981-99-7695-9_6

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