The Development of Nonlinear Dynamics in Astronomy

Foundations of Physics 31 (1):89-114 (2001)
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Abstract

We present the historical development of Nonlinear Dynamical Astronomy with emphasis on the “third integral” and its applications. The new era started with the use of computers, and of formal analytical developments in the spirit of Poincaré. Most dynamical systems were found to contain both ordered and chaotic orbits. The transition from order to chaos is discussed. Recent developments refer to the dynamical spectra, integrals of notion in self-consistent models, systems of 3 or more degrees of freedom, chaos in relativity and cosmology, and chaos in quandum mechanics

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10.1023/a:1004155905361

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