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Periodic Motions


Periodic Motions
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Periodic Motions


Periodic Motions
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Author : Miklos Farkas
language : en
Publisher:
Release Date : 2014-01-15

Periodic Motions written by Miklos Farkas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Quasi Periodic Motions In Families Of Dynamical Systems


Quasi Periodic Motions In Families Of Dynamical Systems
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Author : Hendrik W. Broer
language : en
Publisher: Springer
Release Date : 2009-01-25

Quasi Periodic Motions In Families Of Dynamical Systems written by Hendrik W. Broer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-25 with Mathematics categories.


This book is devoted to the phenomenon of quasi-periodic motion in dynamical systems. Such a motion in the phase space densely fills up an invariant torus. This phenomenon is most familiar from Hamiltonian dynamics. Hamiltonian systems are well known for their use in modelling the dynamics related to frictionless mechanics, including the planetary and lunar motions. In this context the general picture appears to be as follows. On the one hand, Hamiltonian systems occur that are in complete order: these are the integrable systems where all motion is confined to invariant tori. On the other hand, systems exist that are entirely chaotic on each energy level. In between we know systems that, being sufficiently small perturbations of integrable ones, exhibit coexistence of order (invariant tori carrying quasi-periodic dynamics) and chaos (the so called stochastic layers). The Kolmogorov-Arnol'd-Moser (KAM) theory on quasi-periodic motions tells us that the occurrence of such motions is open within the class of all Hamiltonian systems: in other words, it is a phenomenon persistent under small Hamiltonian perturbations. Moreover, generally, for any such system the union of quasi-periodic tori in the phase space is a nowhere dense set of positive Lebesgue measure, a so called Cantor family. This fact implies that open classes of Hamiltonian systems exist that are not ergodic. The main aim of the book is to study the changes in this picture when other classes of systems - or contexts - are considered.



Classical And Quantic Periodic Motions Of Multiply Polarized Spin Particles


Classical And Quantic Periodic Motions Of Multiply Polarized Spin Particles
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Author : Abbas Bahri
language : en
Publisher: CRC Press
Release Date : 1997-11-28

Classical And Quantic Periodic Motions Of Multiply Polarized Spin Particles written by Abbas Bahri and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-11-28 with Mathematics categories.


:The author of this volume defines a diffusion flow for a variational problem lacking completeness related to the geometry of a contact form a a and a vector field u in its kernel. He analyzes the ends of the flow lines and finds them to be of two types: one involving periodic orbits of the Reeb (Hamiltonian) vector field x, and the other where asymptotes occur. In the most general case these turn out to be periodic motions for x up to quantic jumps of a very special type along u. He shows that the mathematical results and the physical interpretation fit and provide new points of view useful in the foundations of quantum mechanics.



Periodic Motions To Chaos In A Spring Pendulum System


Periodic Motions To Chaos In A Spring Pendulum System
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Author : Yu Guo
language : en
Publisher: Springer Nature
Release Date : 2023-02-06

Periodic Motions To Chaos In A Spring Pendulum System written by Yu Guo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-06 with Technology & Engineering categories.


This book builds on the fundamental understandings, learned in undergraduate engineering and physics in principles of dynamics and control of mechanical systems. The design of real-world mechanical systems and devices becomes far more complex than the spring-pendulum system to which most engineers have been exposed. The authors provide one of the simplest models of nonlinear dynamical systems for learning complex nonlinear dynamical systems. The book addresses the complex challenges of the necessary modeling for the design of machines. The book addresses the methods to create a mechanical system with stable and unstable motions in environments influenced by an array of motion complexity including varied excitation frequencies ranging from periodic motions to chaos. Periodic motions to chaos, in a periodically forced nonlinear spring pendulum system, are presented through the discrete mapping method, and the corresponding stability and bifurcations of periodic motions on the bifurcation trees are presented. Developed semi-analytical solutions of periodical motions to chaos help the reader to understand complex nonlinear dynamical behaviors in nonlinear dynamical systems. Especially, one can use unstable motions rather than stable motions only.



Quasi Periodic Motions In Families Of Dynamical Systems


Quasi Periodic Motions In Families Of Dynamical Systems
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Author : Hendrik W. Broer
language : en
Publisher:
Release Date : 2014-01-15

Quasi Periodic Motions In Families Of Dynamical Systems written by Hendrik W. Broer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Periodic Motions


Periodic Motions
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Author : Miklós Farkas
language : en
Publisher: Springer
Release Date : 1994

Periodic Motions written by Miklós Farkas and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Differential equations categories.




The Existence And Stability Of Periodic Motions In Forced Non Linear Oscillations


The Existence And Stability Of Periodic Motions In Forced Non Linear Oscillations
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Author : Thomas Kirk Caughey
language : en
Publisher:
Release Date : 1954

The Existence And Stability Of Periodic Motions In Forced Non Linear Oscillations written by Thomas Kirk Caughey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with Electronic dissertations categories.




Rhythm In The Sky


Rhythm In The Sky
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Author : Gautam Gangopadhyay
language : en
Publisher: Springer Nature
Release Date :

Rhythm In The Sky written by Gautam Gangopadhyay and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Study Of Periodic Motions Of A Satellite With A Magnetic Damper


Study Of Periodic Motions Of A Satellite With A Magnetic Damper
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Author : National Aeronautics and Space Administration (NASA)
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-08-06

Study Of Periodic Motions Of A Satellite With A Magnetic Damper written by National Aeronautics and Space Administration (NASA) and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-06 with categories.


The motion of a satellite with a magnetic damper in the plane of a circular polar orbit is studied. The asymptotics of periodic solutions are constructed for a satellite close to axisymmetric and the radius of convergence is evaluated for the power series obtained. In a broad range of values of parameters, a periodic solution is obtained by numerical integration of equations of motion of the satellite. The asymptotics of a bifurcated curve obtained (the curve on which origin of a pair of periodic solutions occurs) in the space of the parameters agrees well with the results of numerical computation with all physical values of these parameters. A breakdown is made of the space of the initial data of phase variables in the field of effect of different types of periodic motion. Sadov, Y. A. and Teterin, A. D. Unspecified Center NASA-TM-75667 NASW-3199



Periodic Motions Of A Dynamical System Consisting In An Infinite Lattice Of Particle


Periodic Motions Of A Dynamical System Consisting In An Infinite Lattice Of Particle
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Author : G. Arioli
language : en
Publisher:
Release Date : 1996

Periodic Motions Of A Dynamical System Consisting In An Infinite Lattice Of Particle written by G. Arioli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.