Titlebook: MacMath 9.2; A Dynamical Systems John H. Hubbard,Beverly H. West Book 1993Latest edition Springer Science+Business Media New York 1993 Exc

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Linear Dynamical Systems dynamical systems (whether they be linear differential equations with constant coefficients or iterative systems) are the only important class of higher dimensional systems that can be solved in terms of elementary functions.

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BifurcationsYou may well wonder what causes the dramatic changes in phase plane behavior discussed in Section 9, D.EQ, P. P., under “Bifurcation”. The following discussion deals exclusively with the case of an autonomous differential equation in two variables:

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Dynamical Systemsescription of motions of bodies under gravity. The forces are extremely simple: bodies attract with a force proportional to the product of their masses and inversely proportional to the square of the distance separating them. Yet the motions caused by these forces are extremely complex, resulting, for instance, in the braided rings of Saturn.

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EigenFinderss of finding the eigenvalues is called . of the matrix, because the final result is an eigenvalue matrix, .*, with the eigenvalues lying along the main diagonal and zeros elsewhere. This diagonal matrix, .*, has the same eigenvalues and determinant and trace as the original matrix, ..

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https://doi.org/10.1007/978-1-4613-8378-9Excel; Jacobi; Macintosh; Math; Mathematica; Microsoft Access; computation; design; differential equation; dy

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Book 1993Latest editionntation in dynamical systems, both for differential equations and for iteration. The MacMath package was designed to accompany the textbooks Differential Equations: A Dynamical Systems Approach Part I & II. The text and software was developed for a junior-senior level course in applicable mathematic

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d experimentation in dynamical systems, both for differential equations and for iteration. The MacMath package was designed to accompany the textbooks Differential Equations: A Dynamical Systems Approach Part I & II. The text and software was developed for a junior-senior level course in applicable

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Quick Synopsis of Programstion graphically. Graphs of the function and its derivatives, or of different functions, can be overlaid. Analyzer is a very handy tool for dealing with awkward equations both numerically and graphically.