Two Contrasting Examples of Multidimensional Differential Systems with Lyapunov Extreme Instability

DOI10.1134/S0001434624010036MaRDI QIDQ6494788

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Publication date: 30 April 2024

Published in: Mathematical Notes (Search for Journal in Brave)

Mathematics Subject Classification ID

Stability theory for ordinary differential equations (34Dxx) Model systems in control theory (93Cxx) Stability of control systems (93Dxx)

Cites Work

• An example of complete but not global Perron instability
• On the existence of a globally Lyapunov unstable differential system all of whose solutions tend to zero as time tends to infinity
• Example of a differential system with complete Perron and upper-limit instability but massive partial stability
• Definition and some properties of Perron stability
• Examples of differential systems with contrasting combinations of Lyapunov, Perron, and upper-limit properties
• Lyapunov, Perron and upper-limit stability properties of autonomous differential systems
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