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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 ...
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 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 ...
Stability analysis of Crank-Nicolson and Euler schemes for time-dependent diffusion equations
(Springer, 2015-06-01)
In this paper, we study the stability of the Crank-Nicolson and Euler schemes for time-dependent diffusion coefficient equations on a staggered grid with explicit and implicit approximations to the Dirichlet boundary ...
Isoperimetric domains in the Riemannian product of a circle with a simply connected space form and applications to free boundary problems
(Indiana Univ Math JournalBloomingtonEUA, 1999)