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Titlebook: Dynamics: Numerical Explorations; Accompanying Compute Helena E. Nusse,James A. Yorke,Eric J. Kostelich Book 19941st edition Springer-Verla

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楼主: JOLT
发表于 2025-3-23 13:39:11 | 显示全部楼层
Designing Complex Development Programsractor”. The main objective of this chapter is to describe the theory and practice of plotting a basin of an attractor. A . is the union of finitely many attractors, and a . is the basin of a generalized attractor.
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Unstable and Stable Manifolds,ned for invertible processes as the unstable manifold for the inverted system. If a point p is a saddle fixed point of a map in the plane, then the stable and unstable manifolds are both curves that pass through p. The routines described below are not restricted to planar systems, but the manifold being computed must be a curve.
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Basins of Attraction,ractor”. The main objective of this chapter is to describe the theory and practice of plotting a basin of an attractor. A . is the union of finitely many attractors, and a . is the basin of a generalized attractor.
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Following Periodic Orbits,luding for example the time-2π maps of periodically forced differential equations like the forced damped pendulum (P) and the Duffing equation (D). The pendulum for example is plotted as a time-2π map by taking 30 Runge-Kutta steps before plotting.
发表于 2025-3-24 18:26:39 | 显示全部楼层
Working with Assumptions: An Overview,ned for invertible processes as the unstable manifold for the inverted system. If a point p is a saddle fixed point of a map in the plane, then the stable and unstable manifolds are both curves that pass through p. The routines described below are not restricted to planar systems, but the manifold being computed must be a curve.
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Energy Management Techniques for WSNschange caused the system to evolve in quite a different manner. This was the first computer study illustrating sensitivity to initial data. Now with the advent of personal computers with good graphics, now that we know what to look for, it is easy to see chaotic trajectories.
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