Titlebook: Chaos for Engineers; Theory, Applications Tomasz Kapitaniak Book 19981st edition Springer-Verlag Berlin Heidelberg 1998 Feedback and Contro

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Campaign

Omniscient

松鸡

Bumptious

Book 19981st editionuch a way as to make it predictable. Recently there have been examples of the potential usefulness of chaotic behaviour and this has caused growing interest among engineers and applied scientists. In this book the new mathematical ideas in nonlinear dynamics are described such that engineers can apply them in real physical systems.

共同给与

Book 19981st editioned to random external influences. Further studies have shown that chaotic phenomena are completely deterministic and characteristic for typical nonlinear systems. These studies posed the question of the practical applications of chaos. One of the possible answers is to control chaotic behaviour in s

共同给与

Continuous Dynamical Systems,ctor is introduced. We start from the fixed points, limit cycles and finally describe the properties of strange chaotic attractors. To complete this description we introduce Poincaré maps and Lyapunov exponents. Poincaré maps are tools which allow the system dimension reduction and whose idea for en

词汇记忆方法

Discrete Dynamical Systems, the case of Poincaré maps introduced in the previous chapter. The dynamics of discrete dynamical systems is usually simple enough to be explained in details. We use these systems to describe the main phenomena of nonlinear dynamics.

Congregate

Constrain

Routes to Chaos,s during the transition from periodic to chaotic states. The mechanism of the transition to chaos is of fundamental importance for understanding the phenomenon of chaotic behaviour. There are three main routes to chaos which can be observed in nonlinear oscillators.