Titlebook: An Introduction to Dynamical Systems and Chaos; G. C. Layek Textbook 2024Latest edition The Editor(s) (if applicable) and The Author(s), u

周兴旺

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https://doi.org/10.1007/978-3-642-91640-3Discrete systems are described by maps or difference equations. The composition of map generates the dynamics or flow of a discrete system. The fixed points and their characters, some important theorems, periodic cycles, attractors, Schwarzian derivative and its properties with examples are discussed at length.

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https://doi.org/10.1007/978-981-99-7695-9bifurcation theory; chaos theory; conjugacy; flows; fractals; Hamiltonian flows; Lie symmetry analysis; osc

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978-981-99-7697-3The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor

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Chaos,. On the other hand, there are some universal numbers applicable for particular class of systems, for example, the Feigenbaum number, Golden mean, etc. The Lorenz system is a paradigm of deterministic dissipative chaotic systems. The universality is an important feature in chaotic dynamics.

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Fibrinogen

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https://doi.org/10.1007/978-3-642-90807-1ear system does not provide always the actual solution behaviors of the original nonlinear system. Nonlinear systems have interesting solution features. This chapter deals with oscillatory solutions in linear and nonlinear equations, their properties and some applications.