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Qualitative analysis of 2 x 2 systems and nonlinear second order equations

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Part of the book series: UNITEXT ((UNITEXTMAT,volume 73))

Abstract

In this chapter we study

  1. 1.

    Planar hamiltonian systems;

  2. 2.

    Lotka-Vilterra prey-predator systems;

  3. 3.

    Second order equations of the form x″ = f(x).

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Notes

  1. 1.

    1 Alfred J. Lotka (1880-1949), Vito Volterra (1860-1940).

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Ahmad, S., Ambrosetti, A. (2014). Qualitative analysis of 2 x 2 systems and nonlinear second order equations. In: A Textbook on Ordinary Differential Equations. UNITEXT(), vol 73. Springer, Cham. https://doi.org/10.1007/978-3-319-02129-4_8

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