Titlebook: Differential Equations: A Dynamical Systems Approach; Higher-Dimensional S John H. Hubbard,Beverly H. West Book 1995 Springer-Verlag New Yo

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0939-2475 research level monographs. Preface As in Part I, this book concentrates on understanding the behavior of dif- ferential equations, rather than on solving the eq978-1-4612-8693-6978-1-4612-4192-8Series ISSN 0939-2475 Series E-ISSN 2196-9949

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Systems of Differential Equations to specify its state at any time t. Usually a state of the physical system will be specified by the values of several functions, ., for . 1,2…,.. If we know “forces” giving for each of them the derivative . with respect to time, in terms of the values of all the variables (at that particular time)

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Systems of Differential Equationswe begin to study in this chapter. We will give examples in Section 7.1 and the formal (simple) side of the theory in Section 7.2. The more substantive theoretical results (for linear equations with varying coefficients) are deferred to Chapter 12 in Part III.

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Systems of Differential Equationswe begin to study in this chapter. We will give examples in Section 7.1 and the formal (simple) side of the theory in Section 7.2. The more substantive theoretical results (for linear equations with varying coefficients) are deferred to Chapter 12 in Part III.

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Structural Stabilityions of two differential equations behave “the same way.” Our main result in this direction is in Section 8*.6, but preliminary results occur in Sections 8*.2–8*.5, and they require a bit of terminology. We begin with the groundwork in Section 8*.l, building up to Definition 8*.1.9 for “structural stability”.

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Differential Equations: A Dynamical Systems Approach978-1-4612-4192-8Series ISSN 0939-2475 Series E-ISSN 2196-9949

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