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Title: A qualitative approach to the existence of random periodic solutions
Author: Uda, Kenneth O.
ISNI:       0000 0004 5352 7287
Awarding Body: Loughborough University
Current Institution: Loughborough University
Date of Award: 2015
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In this thesis, we study the existence of random periodic solutions of random dynamical systems (RDS) by geometric and topological approach. We employed an extension of ergodic theory to random setting to prove that a random invariant set with some kind of dissipative structure, can be expressed as union of random periodic curves. We extensively characterize the dissipative structure by random invariant measures and Lyapunov exponents. For stochastic flows induced by stochastic differential equations (SDEs), we studied the dissipative structure by two point motion of the SDE and prove the existence exponential stable random periodic solutions.
Supervisor: Not available Sponsor: Ebonyi State Government Nigeria
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Adjusted random variable ; Double skew product ; two point motion ; Random invariant curves ; Random periodic curves ; Random periodic solutions ; Random semiuniform ergodic theorem.