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Spectral theory of nonautonomous dynamical systems and applications

Doan, Thai S.

eBook Springer <editore> 2024

Abstract

The main challenge in the study of nonautonomous phenomena is to understand the very complicated dynamical behaviour both as a scientific and mathematical problem. [...]
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Description *Spectral theory of nonautonomous dynamical systems and applications / Thai Son Doan. - Singapore : Springer, 2024. - 1 testo elettronico (xvii, 188 p. : ill.)
ISBN E-Book 9789819755202
Author
Doan, Thai S.
Subjects 34K05 - General theory of functional-differential equations [MSC 2020]
34K18 - Bifurcation theory of functional-differential equations [MSC 2020]
37-XX - Dynamical systems and ergodic theory [MSC 2020]
37C30 - Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. [MSC 2020]
37C60 - Nonautonomous smooth dynamical systems [MSC 2020]
37G05 - Normal forms for dynamical systems [MSC 2020]
37G10 - Bifurcations of singular points in dynamical systems [MSC 2020]
37G15 - Bifurcations of limit cycles and periodic orbits in dynamical systems [MSC 2020]
37G35 - Dynamical aspects of attractors and their bifurcations [MSC 2020]
37H15 - Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents [MSC 2020]
37H20 - Bifurcation theory for random and stochastic dynamical systems [MSC 2020]
37H30 - Stability theory for random and stochastic dynamical systems [MSC 2020]
39A28 - Bifurcation theory for difference equations [MSC 2020]
Parole chiave Bohl Spectrum
Genericity of Spectrum
Linearization
Lyapunov Spectrum
Nonautonomous dynamical systems
Random Dynamical Systems
Sacker-Sell Spectrum
Stochastic Bifurcation
Publication place Singapore
Publisher Springer <editore>
Publication year 2024
Thesaurus 34K05
34K18
37-XX
37C30
37C60
37G05
37G10
37G15
37G35
37H15
37H20
37H30
39A28
Bifurcation theory for difference equations [MSC 2020]
Bifurcation theory for random and stochastic dynamical systems [MSC 2020]
Bifurcation theory of functional-differential equations [MSC 2020]
Bifurcations of limit cycles and periodic orbits in dynamical systems [MSC 2020]
Bifurcations of singular points in dynamical systems [MSC 2020]
Dynamical aspects of attractors and their bifurcations [MSC 2020]
Dynamical systems and ergodic theory [MSC 2020]
Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. [MSC 2020]
General theory of functional-differential equations [MSC 2020]
Nonautonomous smooth dynamical systems [MSC 2020]
Normal forms for dynamical systems [MSC 2020]
Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents [MSC 2020]
Stability theory for random and stochastic dynamical systems [MSC 2020]