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Computer Algebra and Differential Equations
Selected papers from the Computer Algebra and Differential Equations meeting held in France in June 1992.
Hamiltonian Systems and Celestial Mechanics
This volume is an outgrowth of the Third International Symposium on Hamiltonian Systems and Celestial Mechanics. The main topics are Arnold diffusion, central configurations, singularities in few-body problems, billiards, area-preserving maps, and geometrical mechanics. All papers in the volume went through the refereeing process typical of a mathematical research journal.
Capture Dynamics and Chaotic Motions in Celestial Mechanics
This book describes a revolutionary new approach to determining low energy routes for spacecraft and comets by exploiting regions in space where motion is very sensitive (or chaotic). It also represents an ideal introductory text to celestial mechanics, dynamical systems, and dynamical astronomy. Bringing together wide-ranging research by others with his own original work, much of it new or previously unpublished, Edward Belbruno argues that regions supporting chaotic motions, termed weak stability boundaries, can be estimated. Although controversial until quite recently, this method was in fact first applied in 1991, when Belbruno used a new route developed from this theory to get a stray J...
Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems
This book demonstrates that while elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Therefore, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system, absent untypical conditions or external parameters. The text moves logically from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations must be replaced by Cantor sets.
The Behavior, Ecology and Evolution of Cichlid Fishes
This volume constitutes the most recent and most comprehensive consideration of the largest family of bony fishes, the Cichlidae. This book offers an integrated perspective of cichlid fishes ranging from conservation of threatened species to management of cichlids as invasive species themselves. Long-standing models of taxonomy and systematics are subjected to the most recent applications and interpretations of molecular evidence and multivariate analyses; and cichlid adaptive radiations at different scales are elucidated. The incredible diversity of endemic cichlid species in African lakes is revisited as possible examples of sympatric speciation and as serious cases for management in compl...
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