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Instability, Chaos and Predictability in Celestial Mechanics and Stellar Dynamics
sections: chaos, ergodic and stochastic motion, stellar systems and galaxies, triple and many body problem, and general celestial mechanics and;
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Gravitational Few-Body Dynamics
summarizes and explains them, covering both basic analytical formulations and numerical methods. The mathematics required for celestial mechanics and;
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Order and Chaos in Dynamical Astronomy
This book is one of the first to provide a general overview of order and chaos in dynamical astronomy. The progress of the theory of chaos;
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The Symmetry of Chaos
Why have scientists, engineers, and mathematicians become intrigued by chaos? Chaos is about predictability in even the most unstable;
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Dynamical Chaos in Planetary Systems
system bodies, and the dynamics of exoplanetary systems. The necessary concepts, methods and tools used to study dynamical chaos (such as;
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Dynamical Chaos in Planetary Systems
system bodies, and the dynamics of exoplanetary systems. The necessary concepts, methods and tools used to study dynamical chaos (such as;
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Satellite Dynamics and Space Missions
, celestial mechanics, spacecraft navigation, space exploration applications, artificial satellites, space debris, minor bodies, and tidal evolution;
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Satellite Dynamics and Space Missions
, celestial mechanics, spacecraft navigation, space exploration applications, artificial satellites, space debris, minor bodies, and tidal evolution;
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Classical & Fluid Mechanics
. oscillatory motion, celestial & orbital mechanics, fluid dynamics). The first part (chapters 1 - 5) overviews modern mathematical tools and techniques;
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The Dynamical Behaviour of Our Planetary System
refined tools for the detection and evaluation of chaos. The dynamics of the asteroid belt and other small objects, a fast-moving topic with;
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Celestial Encounters
Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34-year-old Henri Poincare submitted;
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Chaos and Coarse Graining in Statistical Mechanics
concepts of chaotic dynamics are introduced, moving on to explore the role of ergodicity and chaos for the validity of statistical laws, and ending;
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Chaotic Dynamics
. Among the diverse topics discussed were complexity, control and data representation; celestial mechanics and cosmology; controlling dynamical;
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Cambridge Nonlinear Science Series
This book describes advances in the application of chaos theory to classical scattering and nonequilibrium statistical mechanics generally;
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Cambridge Nonlinear Science Series
This book describes advances in the application of chaos theory to classical scattering and nonequilibrium statistical mechanics generally;
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Construction of Mappings for Hamiltonian Systems and Their Applications
systematic theory of symplectic mappings for Hamiltonian systems and its application to the study of the dynamics and chaos of various physical;
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An Introduction to Celestial Mechanics
This accessible text on classical celestial mechanics, the principles governing the motions of bodies in the Solar System, provides a clear;
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Chaos And Integrability In Nonlinear Dynamics
Presents the newer field of chaos in nonlinear dynamics as a natural extension of classical mechanics as treated by differential equations;
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Fracture and Complexity
, and (ii) instability and chaos arising from simple nonlinear rules. Providing insights into the rapidly growing field of complexity sciences;
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Fracture and Complexity
, and (ii) instability and chaos arising from simple nonlinear rules. Providing insights into the rapidly growing field of complexity sciences;
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The Geometry of Celestial Mechanics
underlying celestial mechanics and is an ideal companion for introductory courses. The focus on the history of geometric ideas makes it perfect;
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Chaos In Nature
This book is devoted to the history of chaos theory, from celestial mechanics (three-body problem) to electronics and meteorology. Many;
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Dynamical Systems and Random Processes
, celestial mechanics, symbolic dynamics, computational topology, random processes, and regular languages. The intent is to provide a glimpse;
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Control Of Cutting Vibration And Machining Instability
the development of a controller architecture universally viable for the control of dynamic instability including bifurcation and chaos. Once;
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Introduction to Mechanics
, phase space, nonlinear dynamics and chaos. The author presents Newton's equation of motion as a differential equation, bringing out key issues;
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