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Beskrivning
Then the second part recalls the multiplicative ergodic theorem for random dynamical systems and discusses several explicit formulas in computing the Lyapunov spectrum for random dynamical systems generated by linear stochastic differential equations and random difference equations with random delay.
Thai Son Doan received the B.Sc. degree in mathematics from Hanoi University of Science, Viet Nam in 2006 and received the Ph.D degree in mathematics from Technical University Dresden, Germany in 2009. He is a senior researcher at the Institute of Mathematics, Vietnam Academy of Science and Technology. He was a research fellow at Imperial College London, United Kingdom from 2011 to 2015, and a research fellow at Hokkaido University, Japan from 2015 to 2017. He has held several prestigious research fellowships including Marie-Curie Intra European Fellowships (2013-2015) and Marie Sklodowska-Curie Fellowships (2022-2024) at Imperial College London, United Kingdom and Japan Society for the Promotion of Science Postdoctoral Fellowships for Research (2015-2017).Thai Son Doan’s research interest covers nonautonomous dynamical systems. He has published more than 50 publications in this area. Many of his publications are in the leading journals in the field of differentialequations & dynamical system and control theory.
Innehållsförteckning
chapter 1 spectral theory of nonautonomous differential equations.- chapter 2 linearization for nonautonomous differential equations.- chapter 3 spectral theory for random dynamical systems.- chapter 4 genericity of lyapunov spectrum of random dynamical systems.- chapter 5 pitchfork and hopf bifurcation under additive noise.