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Planar Quadratic Differential Systems with Invariants of the Form ax2+bxy+cy2+dx+ey+c1t.
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- Bulletin of the Iranian Mathematical Society, 2024, v. 50, n. 4, p. 1, doi. 10.1007/s41980-024-00888-7
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Limit Cycles of the Discontinuous Piecewise Differential Systems Separated by a Nonregular Line and Formed by a Linear Center and a Quadratic One.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2024, v. 34, n. 5, p. 1, doi. 10.1142/S0218127424500585
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Characterization of the Riccati and Abel Polynomial Differential Systems Having Invariant Algebraic Curves.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2024, v. 34, n. 5, p. 1, doi. 10.1142/S0218127424500664
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Dynamics of the Isotropic Star Differential System from the Mathematical and Physical Point of Views.
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- AppliedMath, 2024, v. 4, n. 1, p. 70, doi. 10.3390/appliedmath4010004
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Limit Cycles of Discontinuous Piecewise Differential Hamiltonian Systems Separated by a Straight Line.
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- Axioms (2075-1680), 2024, v. 13, n. 3, p. 161, doi. 10.3390/axioms13030161
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The Solution of the Extended 16th Hilbert Problem for Some Classes of Piecewise Differential Systems.
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- Mathematics (2227-7390), 2024, v. 12, n. 3, p. 464, doi. 10.3390/math12030464
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- Article
Global Analysis of Riccati Quadratic Differential Systems.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2024, v. 34, n. 1, p. 1, doi. 10.1142/S0218127424500044
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- Article
The Extended 16th Hilbert Problem for Discontinuous Piecewise Systems Formed by Linear Centers and Linear Hamiltonian Saddles Separated by a Nonregular Line.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2023, v. 33, n. 16, p. 1, doi. 10.1142/S0218127423501961
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- Article
On the Poincaré–Bendixson Formula for Planar Piecewise Smooth Vector Fields.
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- Journal of Nonlinear Science, 2023, v. 33, n. 6, p. 1, doi. 10.1007/s00332-023-09979-x
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- Article
Limit Cycles of Some Families of Discontinuous Piecewise Differential Systems Separated by a Straight Line.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2023, v. 33, n. 14, p. 1, doi. 10.1142/S0218127423501663
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- Article
A weakened Markus–Yamabe condition for planar polynomial differential systems of degree $(1,n)$.
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- Proceedings of the Edinburgh Mathematical Society, 2023, v. 66, n. 4, p. 1110, doi. 10.1017/S0013091523000615
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- Article
Limit Cycles of Continuous Piecewise Smooth Differential Systems.
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- Results in Mathematics / Resultate der Mathematik, 2023, v. 78, n. 5, p. 1, doi. 10.1007/s00025-023-01948-w
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- Article
Nilpotent Bicenters in Continuous Piecewise ℤ2-Equivariant Cubic Polynomial Hamiltonian Vector Fields: Cusp–Cusp Type.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2023, v. 33, n. 12, p. 1, doi. 10.1142/S0218127423501389
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- Article
Global Attractor in the Positive Quadrant of the Lotka–Volterra System in ℝ2.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2023, v. 33, n. 12, p. 1, doi. 10.1142/S021812742350147X
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- Article
The Free Euler Rigid Body Revisited.
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- Dynamics (2673-8716), 2023, v. 3, n. 3, p. 603, doi. 10.3390/dynamics3030032
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Phase portraits on the unit sphere of the stretch-twist-fold flow.
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- Nonlinear Analysis: Modeling & Control, 2023, v. 28, n. 5, p. 1020, doi. 10.15388/namc.2023.28.33088
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- Article
Phase Portraits of Families VII and VIII of the Quadratic Systems.
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- Axioms (2075-1680), 2023, v. 12, n. 8, p. 756, doi. 10.3390/axioms12080756
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- Article
Symmetric Phase Portraits of Homogeneous Polynomial Hamiltonian Systems of Degree 1, 2, 3, 4, and 5 with Finitely Many Equilibria.
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- Symmetry (20738994), 2023, v. 15, n. 8, p. 1476, doi. 10.3390/sym15081476
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Nonexistence and Uniqueness of Limit Cycles in a Class of Three-Dimensional Piecewise Linear Differential Systems.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2023, v. 33, n. 6, p. 1, doi. 10.1142/S021812742350075X
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Limit Cycles of Polynomially Integrable Piecewise Differential Systems.
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- Axioms (2075-1680), 2023, v. 12, n. 4, p. 342, doi. 10.3390/axioms12040342
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On the Periodic Orbits of the Perturbed Two- and Three-Body Problems.
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- Galaxies (2075-4434), 2023, v. 11, n. 2, p. 58, doi. 10.3390/galaxies11020058
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Limit cycles of continuous piecewise differential systems separated by a parabola and formed by a linear center and a quadratic center.
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- Discrete & Continuous Dynamical Systems - Series S, 2023, v. 16, n. 3/4, p. 1, doi. 10.3934/dcdss.2022034
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Periodic Orbits of Quantised Restricted Three-Body Problem.
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- Universe (2218-1997), 2023, v. 9, n. 3, p. 149, doi. 10.3390/universe9030149
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Dynamics of the Painlevé-Ince Equation.
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- Results in Mathematics / Resultate der Mathematik, 2023, v. 78, n. 1, p. 1, doi. 10.1007/s00025-022-01783-5
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- Article
The extended 16th Hilbert problem for a class of discontinuous piecewise differential systems.
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- Nonlinear Dynamics, 2023, v. 111, n. 2, p. 1475, doi. 10.1007/s11071-022-07891-9
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- Article
Criteria for the nonexistence of periodic orbits in planar differential systems.
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- Buletinul Academiei de Ştiinţe a Republicii Moldova: Matematica, 2023, v. 101, n. 1, p. 3, doi. 10.56415/basm.y2023.i1.p3
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Some families of quadratic systems with at most one limit cycle.
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- Buletinul Academiei de Ştiinţe a Republicii Moldova: Matematica, 2023, v. 101, n. 1, p. 8, doi. 10.56415/basm.y2023.i1.p8
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On the Limit Cycles of a Class of Discontinuous Piecewise Differential Systems Formed by Two Rigid Centers Governed by Odd Degree Polynomials.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2022, v. 32, n. 16, p. 1, doi. 10.1142/S0218127422502455
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The improved Euler-Jacobi formula and the planar polynomial vector fields of degree 2-4.
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- Bulletin of the Belgian Mathematical Society - Simon Stevin, 2022, v. 29, n. 1, p. 63, doi. 10.36045/j.bbms.210413a
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- Article
Phase portraits of the Selkov model in the Poincaré disc.
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- Discrete & Continuous Dynamical Systems - Series B, 2022, v. 27, n. 12, p. 7607, doi. 10.3934/dcdsb.2022056
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Polynomial Homogeneous Maps and Their Periods.
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- Journal of Nonlinear Modeling & Analysis, 2022, v. 4, n. 4, p. 753, doi. 10.12150/jnma.2022.753
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- Article
Limit Cycles of a Class of Discontinuous Piecewise Differential Systems Separated by the Curve y=xn Via Averaging Theory.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2022, v. 32, n. 12, p. 1, doi. 10.1142/S0218127422501875
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- Article
Limit Cycles of Planar Discontinuous Piecewise Linear Hamiltonian Systems Without Equilibria Separated by Nonregular Curves.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2022, v. 32, n. 12, p. 1, doi. 10.1142/S021812742250184X
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- Article
Nilpotent bi-center in continuous piecewise Z2-equivariant cubic polynomial Hamiltonian systems.
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- Nonlinear Dynamics, 2022, v. 110, n. 1, p. 705, doi. 10.1007/s11071-022-07631-z
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- Article
Meromorphic integrability of the Hamiltonian systems with homogeneous potentials of degree -4.
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- Discrete & Continuous Dynamical Systems - Series B, 2022, v. 27, n. 8, p. 4305, doi. 10.3934/dcdsb.2021228
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- Article
Nilpotent Center in a Continuous Piecewise Quadratic Polynomial Hamiltonian Vector Field.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2022, v. 32, n. 8, p. 1, doi. 10.1142/S0218127422501164
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- Article
Limit Cycles of Piecewise-Continuous Differential Systems Formed by Linear and Quadratic Isochronous Centers II.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2022, v. 32, n. 6, p. 1, doi. 10.1142/S0218127422500912
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- Article
Planar Kolmogorov Systems with Infinitely Many Singular Points at Infinity.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2022, v. 32, n. 5, p. 1, doi. 10.1142/S0218127422500651
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- Article
The cyclicity of the period annulus of a reversible quadratic system.
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- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2022, v. 152, n. 2, p. 281, doi. 10.1017/prm.2021.2
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- Article
Twin Polynomial Vector Fields of Arbitrary Degree.
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- Bulletin of the Brazilian Mathematical Society, 2022, v. 53, n. 1, p. 295, doi. 10.1007/s00574-021-00259-4
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Rocard's 1941 Chaotic Relaxation Econometric Oscillator.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2022, v. 32, n. 3, p. 1, doi. 10.1142/S0218127422500432
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- Article
On the limit cycle of a Belousov–Zhabotinsky differential systems.
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- Mathematical Methods in the Applied Sciences, 2022, v. 45, n. 2, p. 579, doi. 10.1002/mma.7798
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Invariant Algebraic Curves of Generalized Liénard Polynomial Differential Systems.
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- Mathematics (2227-7390), 2022, v. 10, n. 2, p. 209, doi. 10.3390/math10020209
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- Article
Phase portraits of the Higgins–Selkov system.
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- Discrete & Continuous Dynamical Systems - Series B, 2022, v. 27, n. 1, p. 245, doi. 10.3934/dcdsb.2021039
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- Article
Global phase portraits of a predator-prey system.
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- Electronic Journal of Qualitative Theory of Differential Equations, 2022, p. 1, doi. 10.14232/ejqtde.2022.1.16
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- Article
Limit Cycles of Continuous Piecewise Differential Systems Formed by Linear and Quadratic Isochronous Centers I.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2022, v. 32, n. 1, p. 1, doi. 10.1142/S0218127422500031
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- Article
The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem.
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- Celestial Mechanics & Dynamical Astronomy, 2021, v. 133, n. 11/12, p. 1, doi. 10.1007/s10569-021-10052-6
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Entropy and periods for continuous graph maps.
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- Computational & Applied Mathematics, 2021, v. 40, n. 8, p. 1, doi. 10.1007/s40314-021-01677-2
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- Article
Limit Cycles on Piecewise Smooth Vector Fields with Coupled Rigid Centers.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2021, v. 31, n. 15, p. 1, doi. 10.1142/S0218127421502242
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- Article
The Extended 16th Hilbert Problem for Discontinuous Piecewise Linear Centers Separated by a Nonregular Line.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2021, v. 31, n. 15, p. 1, doi. 10.1142/S0218127421502254
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- Article