Titlebook: Dynamical Systems with Applications using Python; Stephen Lynch Textbook 2018 Springer International Publishing AG, part of Springer Natur

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Hamiltonian Systems, Lyapunov Functions, and Stability,The theory of Hamiltonian (or conservative) systems in the plane is introduced. The differential equations are used to model dynamical systems in which there is no energy loss. Hamiltonian systems are also used extensively when bifurcating limit cycles in the plane (see Chapters . and .).

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Bifurcation Theory,On completion of this chapter, the reader should be able to

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,Poincaré Maps and Nonautonomous Systems in the Plane,On completion of this chapter, the reader should be able to

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Local and Global Bifurcations,To introduce some local and global bifurcation theory in the plane.

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Electromagnetic Waves and Optical Resonators,On completion of this chapter, the reader should be able to

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Fractals and Multifractals,To provide a brief introduction to fractals.

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