Titlebook: Chaos; An Introduction to D Kathleen T. Alligood,Tim D. Sauer,James A. Yorke Textbook 1997 Springer Science+Business Media New York 1997 Ei

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Forage饲料

Fallibility

Trochlea

Cascades,pears as an infinite sequence of period-doubling bifurcations. A stable periodic orbit is seen to become unstable as a parameter is increased or decreased and is replaced by a stable periodic orbit of twice its period. This orbit in turn becomes unstable and is replaced by a new stable orbit with it

Induction

确保

Chaos,h the configuration of the ball perfectly balanced on the peak is a steady state. The problem is that the trajectory of any initial position of the ball near, but not exactly at, the steady state, will evolve away from the steady state. We investigated sources and saddles, which are unstable fixed points of maps, in Chapters 1 and 2.

modifier

愉快吗

Differential Equations,the study of a differential equation model. We found in Chapter 2 that the time-T map of a differential equation may capture the interesting dynamics of the process while affording substantial simplification from the original differential equation.

委托

招人嫉妒

Chaos in Differential Equations,tained 16KB of internal memory in a thicket of vacuum tubes. It could calculate at the rate of 60 multiplications per second. For the time, it was a staggering cache of computational power to be assigned to a single scientist.