On the Smith Reduction Theorem for Almost Periodic ODEs Satisfying the Squeezing Property

DOI10.20537/nd190110zbMath1420.34063OpenAlexW2928346693WikidataQ128104908 ScholiaQ128104908MaRDI QIDQ5225017

Mikhail Anikushin

Publication date: 25 July 2019

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/nd644

zbMATH Keywords

almost periodic functionsqueezing propertydimension theorystrange nonchaotic attractor

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Nonautonomous smooth dynamical systems (37C60)

Related Items (7)

Unnamed Item ⋮ On the compactness of solutions to certain operator inequalities arising from the Likhtarnikov-Yakubovich frequency theorem ⋮ Frequency theorem and inertial manifolds for neutral delay equations ⋮ A non-local reduction principle for cocycles in Hilbert spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the Liouville phenomenon in estimates of fractal dimensions of forced quasi-periodic oscillations

Cites Work

• Frequency domain conditions for finite-dimensional projectors and determining observations for the set of amenable solutions
• Massera's convergence theorem for periodic nonlinear differential equations
• Almost periodic differential equations
• On the Liouville phenomenon in estimates of fractal dimensions of forced quasi-periodic oscillations
• Birth of strange nonchaotic attractors through formation and merging of bubbles in a quasiperiodically forced Chua's oscillator
• Almost periodic differential equations and almost periodic flows
• How chaotic are strange non-chaotic attractors?
• Convergence Theorems for Periodic Retarded Functional Differential Equations
• The frequencies of almost periodic solutions of almost periodic differential equations
• Dimension Theory Approach to the Complexity of Almost Periodic Trajectories
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the Smith Reduction Theorem for Almost Periodic ODEs Satisfying the Squeezing Property