Autonomous Convergence Theorem
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, an autonomous convergence theorem is one of a family of related theorems which specify conditions guaranteeing global asymptotic stability of a continuous autonomous dynamical system.The Markus-Yamabe conjecture was formulated as an attempt to give conditions for global stability of continuous dynamical systems in two dimensions. However, the Markus-Yamabe conjecture does not hold for dimensions higher than two, a problem which autonomous convergence t...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, an autonomous convergence theorem is one of a family of related theorems which specify conditions guaranteeing global asymptotic stability of a continuous autonomous dynamical system.The Markus-Yamabe conjecture was formulated as an attempt to give conditions for global stability of continuous dynamical systems in two dimensions. However, the Markus-Yamabe conjecture does not hold for dimensions higher than two, a problem which autonomous convergence theorems attempt to address. The first autonomous convergence theorem was constructed by Russell Smith.
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