Qualitative properties of a Duffing system with polynomial nonlinearity
DOI10.1134/S0081543820010149zbMath1485.34106OpenAlexW3029680563MaRDI QIDQ2185580
A. N. Kanatnikov, Alexander P. Krishchenko
Publication date: 5 June 2020
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0081543820010149
polynomial nonlinearitycompact invariant setlocalizing setfunctional localization methodnonautonomous Duffing equation
Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Invariant manifolds for ordinary differential equations (34C45) Nonautonomous smooth dynamical systems (37C60)
Cites Work
- Unnamed Item
- Localization of invariant compact sets in differential inclusions
- Localization of simple and complex dynamics in nonlinear systems
- Stochastic sensitivity analysis of periodic attractors in non-autonomous nonlinear dynamical systems based on stroboscopic map
- Global asymptotic stability analysis by the localization method of invariant compact sets
- Localization of invariant compact sets of discrete systems
- Localization of compact invariant sets of discrete-time systems with disturbances
- Localization of invariant compact sets of nonautonomous systems
- Localization of compact invariant sets of continuous-time systems with disturbance
- Global dynamics of the Kirschner-Panetta model for the tumor immunotherapy
- Harmonic and subharmonic solutions for superlinear damped Duffing equation
- Localization of control robust invariant compact sets in continuous systems
- LOCALIZATION OF COMPACT INVARIANT SETS OF DISCRETE-TIME NONLINEAR SYSTEMS
- LOCALIZATION OF COMPACT INVARIANT SETS OF NONLINEAR TIME-VARYING SYSTEMS
- Bifurcation and stability of periodic solutions of Duffing equations
- On the Ultimate Dynamics of the Four-Dimensional Rössler System
- The lower bounds of \(T\)-periodic solutions for the forced Duffing equation
This page was built for publication: Qualitative properties of a Duffing system with polynomial nonlinearity
