Results 11 to 20 of about 60,028 (276)
Classification of Global Phase Portraits of a System of Liénard Type
Journal of Mathematical Analysis and Applications, 1995 This paper concerns a classification of global phase portraits generated by a Liénard differential equation, the two functions of which satisfy conditions called ``deformed mirror symmetry'' for the phase trajectories. These conditions lead to non-dissipative trajectories, for which the authors define separatrices limiting regions of the phase plane ...
Sugie, J., Hara, T.
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Quadratic vector fields with a weak focus of third order [PDF]
, 1997 We study phase portraits of quadratic vector fields with a weak focus of third order at the origin. We show numerically the existence of at least 20 different global phase portraits for such vector fields coming from exactly 16 different local phase ...
Artés, Joan Carles, Llibre, Jaume
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Global Portraits of Nonminimal Teleparallel Inflation
Universe, 2021 We construct global phase portraits of inflationary dynamics in teleparallel gravity models with a scalar field nonminimally coupled to torsion scalar.
Laur Järv, Joosep Lember
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Darboux polynomials and global phase portraits for the D2 vector field [PDF]
Journal of Mathematical Analysis and Applications, 2019 We study a vector field of R^3 equivariant under the D_2 symmetry group, called "the D_2 field" in the literature. We construct the complete list of Darboux polynomials for it, solving the partial differential equation defining them. We also use these polynomials to comment on its global qualitative behaviour.
Katsios, Kostas, Anastassiou, Stavros
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Global phase portraits of the key pitchfork bifurcation [PDF]
SCIENTIA SINICA Mathematica, 2019 This paper deals with the following quadratic polynomial differential system$\frac{dx}{dt}=y^{2}-y-x,$ $\frac{dy}{dt}=x^{2}$ $-\,~\mu~x-y,$with parameter $\mu\in\mathbb{R}$, which is the key example for studying the pitchfork bifurcation of a singular point. We classify the global phase portraits in the Poincare disc of this system when $\mu$ varies.
Jaume, Llibre, Shimin, Li
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Global phase portraits of the generalized van der Pol systems
Bulletin des Sciences Mathématiques, 2023 We consider the generalized van der Pol systems x˙ = y, y˙ = -x + (1-x) f(y), where f ∈ R[y]. The classical van der Pol systems have f(y) = y. We first characterize when the origin of the generalized van der Pol systems is a center, and second we provide the global phase portraits in the Poincaré disc of the generalized van der Pol when f(y) = ay + ay ...
Jaume Llibre, Claudia Valls
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Dynamical Behaviour, Control, and Boundedness of a Fractional-Order Chaotic System
Fractal and Fractional, 2023 In this paper, the fractional-order chaotic system form of a four-dimensional system with cross-product nonlinearities is introduced. The stability of the equilibrium points of the system and then the feedback control design to achieve this goal have ...
Lei Ren +3 more
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Resonance enhancement by suitably chosen frequency detuning [PDF]
, 2020 In this Letter we report new effects of resonance detuning on various dynamical parameters of a generic 3-wave system. Namely, for suitably chosen values of detuning the variation range of amplitudes can be significantly wider than for exact resonance ...
Dutykh, Denys, Tobisch, Elena
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Frontiers in Applied Mathematics and Statistics, 2023 The complexity of the dynamical behaviors of interaction between prey and its predator is studied. The prey and predator relationship involves the age structure and intraspecific competition on predators and the nonlinear harvesting of prey following the
Hasan S. Panigoro +2 more
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Reversible nilpotent centers with cubic homogeneous nonlinearities [PDF]
, 2016 Agraïments: Slovenian scholarship for the Research Cooperation of Doctoral Students Abroad in Year 2013. The third author is partially supported by a FEDER-UNAB-10-4E-378.We provide 13 non-topological equivalent classes of global phase portraits in the ...
Dukarić, Maša +2 more
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