Limit cycles in piecewise smooth perturbations of a class of cubic differential systems
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we study the bifurcation of limit cycles from a class of cubic integrable non-Hamiltonian systems under arbitrarily small piecewise smooth perturbations of degree $n$.
Dan Sun, Yunfei Gao, Linping Peng, Li Fu
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WASPAS method and Aczel-Alsina aggregation operators for managing complex interval-valued intuitionistic fuzzy information and their applications in decision-making [PDF]
PeerJ Computer Science, 2023 Aczel-Alsina t-norm and t-conorm are a valuable and feasible technique to manage ambiguous and inconsistent information because of their dominant characteristics of broad parameter values.
Haojun Fang +4 more
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On the Zero-Hopf Bifurcation of the Lotka–Volterra Systems in
Mathematics, 2020 Here we study 3-dimensional Lotka–Volterra systems. It is known that some of these differential systems can have at least four periodic orbits bifurcating from one of their equilibrium points.
Maoan Han, Jaume Llibre, Yun Tian
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On the torus bifurcation in averaging theory [PDF]
Journal of Differential Equations, 2020 In this paper, we take advantage of the averaging theory to investigate a torus bifurcation in two-parameter families of 2D nonautonomous differential equations. Our strategy consists in looking for generic conditions on the averaged functions that ensure the existence of a curve in the parameter space characterized by a Neimark-Sacker bifurcation in ...
Cândido, Murilo R., Novaes, Douglas D.
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Mathematics, 2021 Power electronic converters are mathematically represented by a system of ordinary differential equations discontinuous right-hand side that does not verify the conditions of the Cauchy-Lipschitz Theorem.
Santolo Meo, Luisa Toscano
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On Hamiltonian Averaging Theories and Resonance [PDF]
International Astronomical Union Colloquium, 1997 AbstractIn this article, we review the construction of Hamiltonian perturbation theories with emphasis on Hori’s theory and its extension to the case of dynamical systems with several degrees of freedom and one resonant critical angle. The essential modification is the comparison of the series terms according to the degree of homogeneity in both and a
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On the theory of average case complexity
[1989] Proceedings. Structure in Complexity Theory Fourth Annual Conference, 1989 The paper takes the next step in developing the theory of average case complexity initiated by L . A. Levin. A distributional decision problem is a pair \((D,\mu)\) where \(D\) is the set of strings and \(\mu\) is a (distribution) function from strings to the unit interval \([0,1]\).
Shai Ben-David +3 more
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Adaptive tracking control of flapping wing micro-air vehicles with averaging theory
CAAI Transactions on Intelligence Technology, 2018 An input constrained adaptive tracking controller is designed for flapping micro aerial vehicles, wherein the moving averaging filter is adopted to estimate the averaged states of the system.
Chen Qian, Yongchun Fang
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Limit cycles of Liénard polynomial systems type by averaging method
Moroccan Journal of Pure and Applied Analysis, 2020 We apply the averaging theory of first and second order for studying the limit cycles of generalized polynomial Linard systems of the ...
Boulfoul Amel, Mellahi Nawal
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Mean Flow from Phase Averages in the 2D Boussinesq Equations
Atmosphere, 2023 The atmosphere and ocean are described by highly oscillatory PDEs that challenge both our understanding of their dynamics and their numerical approximation.
Beth A. Wingate +2 more
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