Results 1 to 10 of about 5,483 (218)

Calculating the Distance to the Saddle-Node Bifurcation Set

, 2009
A power system will experience voltage collapse when the loads increase up to a certain critical limit, where the system physically cannot support the amount of connected load.
Borquez Caballero, Rodrigo Edgardo
core  

Saddle-node bifurcations in power systems

, 1993
Saddle-node bifurcations are dynamic instabilities of differential equation models that have been associated to voltage collapse problems in power systems.
Cañizares Esguerra, Claudio Adrián
core  

Dynamical analysis and soliton solutions to (3+1)-dimensional extended quantum nonlinear Zakharov-Kuznetsov equation. [PDF]

Sci Rep
Fatima M, Abbas M, Higazy M, Anwar MN, Yousaf MZ, Birhanu A, Hamed YS.   +6 more
europepmc   +1 more source

Dynamics of Attention as Near Saddle-Node Bifurcation Behavior

, 1996
In consideration of attention as a means for goal-directed behavior in non-stationary environments, we argue that the dynamics of attention should satisfy two opposing demands: long-term maintenance and quick transition.
Hiroyuki Nakahara, Kenji Doya
core  

Nonlinear seepage mechanical model and bifurcation analysis for fluid-solid coupling in fractured rock mass. [PDF]

Sci Rep
Zhengzheng C, Mengqi X, Tao R, Feng D, Zhenhua L, Wenqiang W.   +5 more
europepmc   +1 more source

Detecting and forecasting tipping points from sample variance alone. [PDF]

PNAS Nexus
Masuda N.
europepmc   +1 more source

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS—II: EXPRESS BRIEFS 581 Connecting Border Collision With Saddle-Node Bifurcation in Switched Dynamical Systems

, 2008
—Switched dynamical systems are known to exhibit border collision, in which a particular operation is terminated and a new operation is assumed as one or more parameters are varied.
Yue Ma, Hiroshi Kawakami, Chi K. Tse, Senior Member, Takuji Kousaka   +4 more
core  

Numerical bifurcation analysis of turing and symmetry broken patterns of a PDE model for vegetation dynamics. [PDF]

J Math Biol
Spiliotis K, Russo L, Siettos C, Giannino F.   +3 more
europepmc   +1 more source

Immune Modulation in the Tumor Microenvironment: Bifurcation Analysis of Cancer-CTL-Monocyte Dynamics. [PDF]

Bull Math Biol
Hernandez-Lopez E, Milne R, Wang X.
europepmc   +1 more source

Generic saddle-node bifurcation for cascade second order ODEs on manifolds

, 1998
Cascade second order ODEs on manifolds are defined. These objects are locally represented by coupled second order ODEs such that any solution of one of them can represent an external force for the other one.
Medveď, Milan
core