Results 201 to 210 of about 12,799 (220)

Exploring Limit Cycles of Differential Equations through Information Geometry Unveils the Solution to Hilbert's 16th Problem. [PDF]

Entropy (Basel)
da Silva VB, Vieira JP, Leonel ED.
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Nonlinear evolution characteristics and seepage mechanical model of fluids in broken rock mass based on the bifurcation theory. [PDF]

Sci Rep
Yunlong J, Zhengzheng C, Zhenhua L, Feng D, Cunhan H, Haixiao L, Wenqiang W, Minglei Z.   +7 more
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Neuronal Network Dynamics in the Posterodorsal Amygdala: Shaping Reproductive Hormone Pulsatility

Nechyporenko K, Voliotis M, Li XF, Hollings O, Ivanova D, Walker JJ, O’Byrne KT, Tsaneva-Atanasova K.   +7 more
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SHILNIKOV’S SADDLE-NODE BIFURCATION

International Journal of Bifurcation and Chaos, 1996
In 1969, Shilnikov described a bifurcation for families of ordinary differential equations involving n≥2 trajectories bi-asymptotic to a non-hyperbolic stationary point. At nearby parameter values the system has trajectories in correspondence with the full shift on n symbols.
Colin Sparrow, Paul Glendinning
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A NONAUTONOMOUS SADDLE-NODE BIFURCATION PATTERN

Stochastics and Dynamics, 2004
In this paper we study certain differential equations depending on a small parameter ε which exhibit a bifurcation of saddle-node type as ε passes through zero. We use a classical averaging technique together with methods and results from the modern theory of nonautonomous differential equations.
FABBRI, ROBERTA, JOHNSON, RUSSELL ALLAN, F. MANTELLINI   +2 more
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Saddle-node bifurcations in the spectrum of HOCl

The Journal of Chemical Physics, 2000
A detailed analysis of the bound-state spectrum of HOCl (hypoclorous acid) in the ground electronic state is presented. Exact quantum mechanical calculations (filter diagonalization) are performed employing an ab initio potential energy surface, which has been constructed using the multireference configuration-interaction method and a quintuple-zeta ...
J. Hauschildt, Jacek Koput, Stavros C. Farantos, Reinhard Schinke, R. Düren, Jan Weiß, S. Stamatiadis, S. Yu. Grebenshchikov   +7 more
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Quantum manifestations of saddle-node bifurcations

Chemical Physics Letters, 1995
Abstract We show that the periodic orbits originating from a saddle-node bifurcation have a profound influence on the topology of the vibrational wavefunctions of the LiNC/LiCN molecular system described by a realistic and complex potential energy surface. The underlying classical structures (manifolds) are examined in detail.
A. A. Zembekov, Florentino Borondo, Rosa M. Benito   +2 more
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Saddle-Node Bifurcations on Fractal Basin Boundaries

Physical Review Letters, 1995
We demonstrate and analyze a bifurcation producing a type of fractal basin boundary which has the strange property that any point that is on the boundary of that basin is also simultaneously on the boundary of at least two other basins. We give rigorous general criteria guaranteeing this phenomenon, present illustrative numerical examples, and discuss ...
Helena E. Nusse, Edward Ott, James A. Yorke   +2 more
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Saddle node bifurcation in a PLL

Proceedings of Southeastcon '93, 2002
New results are given on the phenomenon of false lock in second-order, Type I PLLs (phase-locked loops) with a constant frequency reference of /spl omega//sub i/ and a VCO (voltage-controlled oscillator) quiescent frequency of /spl omega//sub o/. Of interest here is the stable false lock state whose frequency error approaches /spl omega//sub i/-/spl ...
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