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The geometry of quadratic polynomial differential systems with a finite and an infinite Saddle-node (A, B)
(World Scientific Publishing CompanySingapore, 2014-04)
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 ...
The geometry of quadratic polynomial differential systems with a finite and an infinite Saddle-Node (C)
(World Scientific PublishingSingapore, 2015-03)
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 ...
Stability region bifurcations of nonlinear autonomous dynamical systems: Type-zero saddle-node bifurcations
(WILEY-BLACKWELL, 2011)
The behavior of stability regions of nonlinear autonomous dynamical systems subjected to parameter variation is studied in this paper. In particular, the behavior of stability regions and stability boundaries when the ...
TYPE-ZERO SADDLE-NODE BIFURCATIONS AND STABILITY REGION ESTIMATION OF NONLINEAR AUTONOMOUS DYNAMICAL SYSTEMS
(WORLD SCIENTIFIC PUBL CO PTE LTDSINGAPORE, 2012)
A complete characterization of the stability boundary of a class of nonlinear dynamical systems that admit energy functions is developed in this paper. This characterization generalizes the existing results by allowing the ...
Stability boundary characterization of nonlinear autonomous dynamical systems in the presence of saddle-node equilibrium points
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2012)
A dynamical characterization of the stability boundary for a fairly large class of nonlinear autonomous dynamical systems is developed in this paper. This characterization generalizes the existing results by allowing the ...
Algebraic Limit Cycles in Piecewise Linear Differential Systems
(World Scientific Publ Co Pte Ltd, 2018-03-01)
This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular, we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some ...
Saddle-node bifurcation: appearance mechanism of pulses in the subcritical complex ginzburg-landau equation
(AMERICAN PHYSICAL SOCIETY, 2003)
Saddle-node bifurcation: appearance mechanism of pulses in the subcritical complex ginzburg-landau equation
(AMERICAN PHYSICAL SOCIETY, 2003)