Results 21 to 30 of about 8,933,474 (280)
GLOBAL PHASE PORTRAITS OF SOME REVERSIBLE CUBIC CENTERS WITH NONCOLLINEAR SINGULARITIES [PDF]
International Journal of Bifurcation and Chaos, 2013 The results in this paper show that the cubic vector fields ẋ = -y + M(x, y) - y(x2+ y2), ẏ = x + N(x, y) + x( x2+ y2), where M, N are quadratic homogeneous polynomials, having simultaneously a center at the origin and at infinity, have at least 61 and at most 68 topologically different phase portraits.
Magdalena Caubergh, Joan Torregrosa
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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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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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Global phase portraits for the Abel quadratic polynomial differential equations of second kind with Z₂-symmetries [PDF]
, 2018 We provide normal forms and the global phase portraits in the Poincaré disk for all Abel quadratic polynomial differential equations of the second kind with Z₂ ...
Valls, Clàudia +3 more
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Bifurcation Diagrams and Global Phase Portraits for Some Hamiltonian Systems with Rational Potentials [PDF]
International Journal of Bifurcation and Chaos, 2018 In this paper, we study the global dynamical behavior of the Hamiltonian system [Formula: see text], [Formula: see text] with the rational potential Hamiltonian [Formula: see text], where [Formula: see text] and [Formula: see text] are polynomials of degree 1 or 2.
Ting Chen 0005, Jaume Llibre
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Risks assessment and forecasting long time rows of economic indicators [PDF]
Экономика региона, 2012 This paper reviews main approaches to risk assessment. The authors accented attention on the nonlinear approach to the theory of risks. It is proposed to define economic risk as the probability of threats that could have material adverse effect on the ...
Gennadiy Pavlovich Bystray +2 more
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Dynamical Behaviors in a Stage-Structured Model with a Birth Pulse
Mathematics, 2023 This paper presents an exploitation model with a stage structure to analyze the dynamics of a fish population, where periodic birth pulse and pulse fishing occur at different fixed time.
Yun Liu, Lifeng Guo, Xijuan Liu
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GLOBAL PHASE PORTRAITS OF SOME REVERSIBLE CUBIC CENTERS WITH COLLINEAR OR INFINITELY MANY SINGULARITIES [PDF]
International Journal of Bifurcation and Chaos, 2012 We study the reversible cubic vector fields of the form ẋ = -y + ax2+ bxy + cy2- y(x2+ y2), ẏ = x + dx2+ exy + fy2+ x(x2+ y2), having simultaneously a center at infinity and at the origin. In this paper, the subclass of these reversible systems having collinear or infinitely many singularities are classified with respect to topological equivalence.
Magdalena Caubergh +2 more
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Global Analysis of a Liénard System with Quadratic Damping
Discrete Dynamics in Nature and Society, 2018 In this paper, the global analysis of a Liénard equation with quadratic damping is studied. There are 22 different global phase portraits in the Poincaré disc.
Feng Guo
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Phase portraits of an SIR epidemic model [PDF]
, 2023 In this paper, we classify the phase portraits of an SIR epidemic dynamics model. Depending on the values of the parameters, this model can exhibit seven different phase portraits.
Jaume Llibre +3 more
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