Maximum number of limit cycles for generalized Kukles differential system
DOI10.1515/jaa-2021-2070OpenAlexW4226335969MaRDI QIDQ6112997
Publication date: 10 July 2023
Published in: Journal of Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jaa-2021-2070
Bifurcation theory for ordinary differential equations (34C23) Degree theory for nonlinear operators (47H11) Averaging method for ordinary differential equations (34C29) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)
Cites Work
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- On the limit cycles of a class of generalized Kukles polynomial differential systems via averaging theory
- Limit cycles for a variant of a generalized Riccati equation
- Limit cycles for generalized Kukles polynomial differential systems
- The estimate of the amplitude of limit cycles of symmetric Liénard systems
- Nonlinear differential equations and dynamical systems
- Averaging methods for finding periodic orbits via Brouwer degree.
- Conditions for the existence of a center for the Kukles homogeneous systems
- Limit cycles of a second-order differential equation
- Coexistence of limit cycles and invariant algebraic curves for a Kukles system
- Cubic systems of nonlinear oscillations with seven limit cycles
- An upper bound for the amplitude of limit cycles in Liénard systems with symmetry
- Maximum number of limit cycles for generalized Kukles polynomial differential systems
- 3-dimensional Hopf bifurcation via averaging theory
- Limit cycles of the generalized polynomial Liénard differential equations
- An upper bound for the amplitude of limit cycles of Liénard-type differential systems
- CENTERS FOR THE KUKLES HOMOGENEOUS SYSTEMS WITH EVEN DEGREE
- Centers for the Kukles homogeneous systems with odd degree
- ON THE LIMIT CYCLES FOR A CLASS OF GENERALIZED KUKLES DIFFERENTIAL SYSTEMS
- Averaging methods in nonlinear dynamical systems
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