ON THE LIMIT CYCLES FOR A CLASS OF GENERALIZED KUKLES DIFFERENTIAL SYSTEMS
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Publication:5859396
DOI10.11948/2156-907X.20180083zbMath1458.34080OpenAlexW2947702539MaRDI QIDQ5859396
Amar Makhlouf, Amel Boulfoul, Nawal Mellahi
Publication date: 16 April 2021
Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11948/2156-907x.20180083
Periodic solutions to ordinary differential equations (34C25) Degree theory for nonlinear operators (47H11) Averaging method for ordinary differential equations (34C29)
Related Items (2)
Maximum number of limit cycles for generalized Kukles differential system ⋮ Bifurcation of periodic orbits of periodic equations with multiple parameters by averaging method
Cites Work
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- Limit cycles for generalized Kukles polynomial differential systems
- Limit cycles and invariant parabola in a Kukles systems of degree three
- The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
- Averaging methods for finding periodic orbits via Brouwer degree.
- Implementation of a new algorithm of computation of the Poincaré-Lyapunov constants.
- Conditions for the existence of a center for the Kukles homogeneous systems
- Coexistence of limit cycles and invariant algebraic curves for a Kukles system
- Cubic systems of nonlinear oscillations with seven limit cycles
- On the construction of a class of generalized Kukles systems having at most one limit cycle
- Maximum number of limit cycles for generalized Kukles polynomial differential systems
- Coexistence of algebraic and nonalgebraic limit cycles in Kukles systems
- Periodic solutions of nonlinear periodic differential systems with a small parameter
- Equivalence of the Melnikov function method and the averaging method
- On the Paper of Jin and Wang Concerning the conditions for a Centre in certain Cubic Systems
- ON THE NUMBER OF LIMIT CYCLES IN NEAR-HAMILTONIAN POLYNOMIAL SYSTEMS
- Local Bifurcations of Critical Periods in the Reduced Kukles System
- ON THE MAXIMUM NUMBER OF PERIODIC SOLUTIONS OF PIECEWISE SMOOTH PERIODIC EQUATIONS BY AVERAGE METHOD
- Averaging methods in nonlinear dynamical systems
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