نتایج جستجو برای: saddle path stability

تعداد نتایج: 441152  

Journal: :SIAM J. Control and Optimization 2017
Ashish Cherukuri Bahman Gharesifard Jorge Cortés

This paper considers continuously differentiable functions of two vector variables that have (possibly a continuum of) min-max saddle points. We study the asymptotic convergence properties of the associated saddle-point dynamics (gradient-descent in the first variable and gradientascent in the second one). We identify a suite of complementary conditions under which the set of saddle points is a...

2012
Jianke Yang

Saddle-node bifurcations of solitary waves in generalized nonlinear Schrödinger equations with arbitrary forms of nonlinearity and external potentials in arbitrary spatial dimensions are analyzed. First, general conditions for these bifurcations are derived. Second, it is shown analytically that the linear stability of these solitary waves does not switch at saddle-node bifurcations, which is i...

Journal: :Journal of computational biology : a journal of computational molecular cell biology 2006
Chandan K. Reddy Hsiao-Dong Chiang

The task of finding saddle points on potential energy surfaces plays a crucial role in understanding the dynamics of a micromolecule as well as in studying the folding pathways of macromolecules like proteins. The problem of finding the saddle points on a high dimensional potential energy surface is transformed into the problem of finding decomposition points of its corresponding nonlinear dyna...

Journal: :Soft matter 2016
Žiga Kos Miha Ravnik

We demonstrate the relevance of saddle-splay elasticity in nematic liquid crystalline fluids in the context of complex surface anchoring conditions and the complex geometrical confinement. Specifically, nematic cells with patterns of surface anchoring and colloidal knots are shown as examples where saddle-splay free energy contribution can have a notable role which originates from nonhomogeneou...

Journal: :Faraday discussions 2016
Sergei Vlasov Pavel F Bessarab Valery M Uzdin Hannes Jónsson

Transitions between states of a magnetic system can occur by jumps over an energy barrier or by quantum mechanical tunneling through the energy barrier. The rate of such transitions is an important consideration when the stability of magnetic states is assessed for example for nanoscale candidates for data storage devices. The shift in transition mechanism from jumps to tunneling as the tempera...

1994
Gábor Vattay

In this paper a new method for computation of higher order corrections to the saddle point approximation of the Feynman path integral is introduced. The saddle point approximation leads to local Schrödinger problems around classical orbits. Especially, the saddle point approximation leads to Schrödinger problems around classical periodic orbits when it is applied to the trace of Green’s functio...

Journal: :Physical review letters 2003
S Pilgram A N Jordan E V Sukhorukov M Büttiker

We derive a stochastic path integral representation of counting statistics in semiclassical systems. The formalism is introduced on the simple case of a single chaotic cavity with two quantum point contacts, and then further generalized to find the propagator for charge distributions with an arbitrary number of counting fields and generalized charges. The counting statistics is given by the sad...

Journal: :ESAIM: Mathematical Modelling and Numerical Analysis 1996

2013
Alfred Greiner

We analyze effects of public debt in a basic endogenous growth model with productive public spending. We demonstrate that a discretionary policy violates the inter-temporal government budget constraint along a balanced growth path. A balanced government budget gives a unique saddle point stable growth path. With a rule based policy, two saddle point stable balanced growth paths can occur, depen...

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