Affable
发表于 2025-3-30 11:08:27
The Vector Field: Multipliers and Combinations,Consider a set of ordinary differential equations . or more concisely collecting the state variables .. into an .-dimensional vector . = (.., .., ., ..), and the functions .. into a vector . = (.., .., ., ..), with the derivative with respect to time . denoted by a dot.
雕镂
发表于 2025-3-30 13:56:49
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corporate
发表于 2025-3-30 20:14:04
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choroid
发表于 2025-3-30 23:04:20
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membrane
发表于 2025-3-31 00:55:48
Linear Switching (Local Theory),In this section we take a look at systems that depend only linearly on the switching multipliers . and are therefore expressible in the form . where . is an . × . matrix. In relation to (.), the quantities in (.) are . where .. is the .. column of ..
CT-angiography
发表于 2025-3-31 05:55:03
Breaking Determinacy,The organizing centres of local and global behaviour in smooth systems are most commonly equilibria—fixed points of a flow—or invariant manifolds emanating from equilibria. In nonsmooth systems, it turns out to be transitional points—singularities the flow passes through in finite time—that create the most interesting dynamics.