Qualitative investigation of some hierarchical family of cubic dynamic systems

DOI10.1134/S1995080224010049zbMATH Open1546.37029MaRDI QIDQ6544424

I. A. Andreeva

Publication date: 27 May 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

differential systemsphase portraitPoincaré diskqualitative theory of differential equationscubic dynamic systems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamics induced by flows and semiflows (37C10) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

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• Les méthodes nouvelles de la mécanique céleste. Tome III. Invariants intégraux. --- Solutions périodiques du deuxième genre. Solutions doublement asymptotiques.
• Nilpotent centers of cubic systems
• Conditions for the existence of two limit cycles in a system with hysteresis nonlinearity
• The Ballistic Heat Equation for a One-Dimensional Harmonic Crystal
• Spaces of dynamical systems
• Mémoire sur les courbes définies par une équation différentielle.

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