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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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, Jaume Llibre
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Chaos detection tools: application to a self-consistent triaxial model [PDF]
, 2012 Together with the variational indicators of chaos, the spectral analysis methods have also achieved great popularity in the field of chaos detection. The former are based on the concept of local exponential divergence.
Cincotta, Pablo +3 more
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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.
Caubergh, M., Llibre, J., Torregrosa, J.
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Self-similar spherically symmetric cosmological models with a perfect fluid and a scalar field [PDF]
, 2000 Self-similar, spherically symmetric cosmological models with a perfect fluid and a scalar field with an exponential potential are investigated. New variables are defined which lead to a compact state space, and dynamical systems methods are utilised to ...
Alan Coley +25 more
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Metapopulation Dynamics with Migration and Local Competition [PDF]
, 2002 MSC2000: primary 34D15, 34D23, 92B05; secondary 34K60, 34E13, 92D40.Many patch-based metapopulation models assume that the local population within each patch is at its equilibrium and independent of changes in patch occupancy.
Feng, Zhilan, Yi, Yingfei, Zhu, Huaiping
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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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GLOBAL PHASE PORTRAITS OF QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS WITH A SEMI-ELEMENTAL TRIPLE NODE [PDF]
International Journal of Bifurcation and Chaos, 2013 Planar quadratic differential systems occur in many areas of applied mathematics. Although more than one thousand papers have been written on these systems, a complete understanding of this family is still missing. Classical problems, and in particular, Hilbert's 16th problem [Hilbert, 1900, 1902], are still open for this family.
JOAN C. ARTÉS +2 more
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Analysis and adaptive control of a novel 3-D conservative no-equilibrium chaotic system
Archives of Control Sciences, 2015 First, this paper announces a seven-term novel 3-D conservative chaotic system with four quadratic nonlinearities. The conservative chaotic systems are characterized by the important property that they are volume conserving.
Vaidyanathan Sundarapandian +1 more
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