Search Results - "Trajectory"

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    Ordinary Differential Equations by Wiggins, Stephen

    Published 2017
    Table of Contents: “…Preface -- 1 Getting Started: The Language of ODEs -- 2 Special Structure and Solutions of ODEs -- 3 Behavior Near Trajectories and Invariant Sets: Stability -- 4 Behavior Near Trajectories: Linearization -- 5 Behavior Near Equilbria: Linearization -- 6 Stable and Unstable Manifolds of Equilibria -- 7 Lyapunov's Method and the LaSalle Invariance Principle -- 8 Bifurcation of Equilibria, I -- 9 Bifurcation of Equilibria, II -- 10 Center Manifold Theory -- A Jacobians, Inverses of Matrices, and Eigenvalues -- B Integration of Some Basic Linear ODEs -- C Finding Lyapunov Functions -- D Center Manifolds Depending on Parameters -- E Dynamics of Hamilton's Equations -- F A Brief Introduction to the Characteristics of Chaos -- Bibliography -- Index…”
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    Energy and Human Ambitions on a Finite Planet by Murphy, Thomas W.

    Published 2021
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