菊花
发表于 2025-3-23 11:07:25
In the Presence of Purely Imaginary Eigenvaluese the linearized vector field has purely imaginary eigenvalues. Using polar coordinates, we capture the dynamics of such a system in the neighborhood of the equilibrium point in terms of the dynamics of an appropriate nonautonomous scalar differentia] equation with periodic coefficients. For the ana
租约
发表于 2025-3-23 14:11:25
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合同
发表于 2025-3-23 21:48:46
All Planar Things Consideredé-Andronov-Hopf, and breaking homoclinic loops and saddle connections. It is natural to ponder when, if ever, we will stop adding to the list and produce a complete catalog of all possible bifurcations. In this chapter, we indeed provide such a list for “generic” bifurcations of planar vector fields
AND
发表于 2025-3-24 01:16:59
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Mingle
发表于 2025-3-24 06:24:23
Planar Mapsd bifurcations of planar maps. Our motives for delving into planar maps arc akin to the ones for studying scalar maps; namely, as numerical approximations of solutions of differential equations or as Poincaré maps. We begin our exposition with an introduction to the dynamics of linear planar maps. T
发起
发表于 2025-3-24 09:03:45
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tolerance
发表于 2025-3-24 12:15:07
https://doi.org/10.1007/978-1-4612-4426-4Eigenvalue; bifurcation; difference equation; dynamical systems; stability
Spinous-Process
发表于 2025-3-24 15:18:06
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glisten
发表于 2025-3-24 22:50:58
Decline of the Yangtze River Civilization from technical complications, the setting is one-dimensional—the scalar autonomous differential equations. Despite their simplicity, these concepts are central to our subject and reappear in various incarnations throughout the book. Following a collection of examples, we first state a theorem on th
分开
发表于 2025-3-25 00:49:53
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