Monotonic homotopy for trajectories of young systems

Let be a Young system. Assume that the accessible set ( ; x ) of starting from x is locally and semi-locally simply connected by trajectories of . We prove that the covering space Γ( ; x ) of p -monotonically homotopic trajectories is identified to the universal covering space of ( ; x ).

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Bibliographic Details
Published inJournal of dynamical and control systems Vol. 19; no. 3; pp. 405 - 420
Main Authors Vieira, M. G. O., Kizil, E., Catuogno, P. J.
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.07.2013
Subjects
Accessibility
Calculus of Variations and Optimal Control; Optimization
Control
Control systems
Covering
Dynamical Systems
Dynamical Systems and Ergodic Theory
Dynamics
Mathematics
Mathematics and Statistics
Systems Theory
Trajectories
Vibration
Young integration
93B05
monotonic homotopy
93C30
variation
14F35
covering space
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Summary:Let be a Young system. Assume that the accessible set ( ; x ) of starting from x is locally and semi-locally simply connected by trajectories of . We prove that the covering space Γ( ; x ) of p -monotonically homotopic trajectories is identified to the universal covering space of ( ; x ).
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1079-2724
1573-8698
DOI:10.1007/s10883-013-9185-4