Author's reply to “Comments on ‘Dynamic displacement of the Nyquist critical point by non-linear electronic network’ ”

1975 ◽  
Vol 39 (1) ◽  
pp. 119-119
Author(s):  
C A. KARYBAKAS
Keyword(s):  
Critical Point ◽  
Dynamic Displacement ◽  
Electronic Network ◽  
Non Linear

Geometric Non-Linear Influence of a Payload Fairing on Dynamic Displacement Response

2000 ◽  
Author(s):  
V. Ramamurti ◽  
S. Rajarajan ◽  
G. V. Rao
Keyword(s):  
Shell Element ◽  
Superposition Method ◽  
Time Step ◽  
Dynamic Displacement ◽  
Displacement Response ◽  
Mode Superposition Method ◽  
Plate And Shell ◽  
Non Linear ◽  
Deformed State ◽  
Payload Fairing

Abstract Finite element method using three noded plate and shell element and 3D beam element in conjunction with mode superposition method is used for studying the large dynamic displacement response of a typical payload fairing due to separation impulse. Incremental technique is used for solving the geometric non-linear problem. Linear formulations are assumed and a step-by-step analysis is performed on the deformed state of each previous time step. The geometry is updated and the stiffness matrix recomputed after every finite time step and the eigenvalue analysis repeated.

scholarly journals Hydrodynamization Time Near a Critical Point From a Holographic Bjorken Flow

Proceedings ◽  
2019 ◽  
Vol 10 (1) ◽  
pp. 48
Author(s):  
Renato Critelli
Keyword(s):  
Critical Point ◽  
Recent Progress ◽  
Gravitational Theory ◽  
Hydrodynamic Behavior ◽  
Initial State ◽  
Strongly Coupled ◽  
Linear Evolution ◽  
Non Linear ◽  
Strongly Coupled Plasma ◽  
Far From Equilibrium

This proceedings reviews recent progress in the study of far-from-equilibrium hydrodynamization process of strongly interacting matter in the vicinity of a critical point. From a full non-linear evolution of a gravitational theory dual to a conformal strongly coupled plasma, and starting from a non-equilibrium initial state, it is verified that the time it takes for the plasma to acquire hydrodynamic behavior greatly increases near the critical point.

A new critical point in the non-linear conductivity due to variable range hopping in Si

1996 ◽  
Vol 46 (S5) ◽  
pp. 2433-2434
Author(s):  
P. Stefanyi ◽  
C. C. Zammit ◽  
P. Fozooni ◽  
M. J. Lea ◽  
G. Ensell
Keyword(s):  
Critical Point ◽  
Variable Range Hopping ◽  
Variable Range ◽  
Non Linear

A new critical point in the non-linear conductivity due to variable-range hopping in Si

1997 ◽  
Vol 9 (4) ◽  
pp. 881-888 ◽  
Author(s):  
P Stefanyi ◽  
C C Zammit ◽  
P Fozooni ◽  
M J Lea ◽  
G Ensell
Keyword(s):  
Critical Point ◽  
Variable Range Hopping ◽  
Variable Range ◽  
Non Linear

The existence of infinitely many solutions all bifurcating from λ = 0

1991 ◽  
Vol 118 (3-4) ◽  
pp. 295-303 ◽  
Author(s):  
Wolfgang Rother
Keyword(s):  
Differential Equation ◽  
Linear Differential Equation ◽  
Critical Point ◽  
Weak Solutions ◽  
Critical Point Theory ◽  
Point Theory ◽  
Infinitely Many Solutions ◽  
Non Linear ◽  
Linear Differential ◽  
Image Position

SynopsisWe consider the non-linear differential equationand state conditions for the function q such that (*) has infinitely many distinct pairs of (weak) solutions such that holds for all k ∈ ℕ. The main tools are results from critical point theory developed by A. Ambrosetti and P. H. Rabinowitz [1].

scholarly journals Normal form of a binary polynomial in the critical point of the second order

2021 ◽  
pp. 1-20
Author(s):  
Alexander Dmitrievich Bruno ◽  
Alexander Borisovich Batkhin
Keyword(s):  
Singular Point ◽  
Normal Form ◽  
Critical Point ◽  
Normal Forms ◽  
Second Order ◽  
Real Polynomial ◽  
Cubic Form ◽  
The Third ◽  
Non Linear

We consider a real polynomial of two variables. Its expansion in the vicinity of the zero singular point begins with the third degree form. We find its simplest forms to which this polynomial is reduced by reversible real local analytic coordinate substitutions. First, the normal forms for the cubic form are obtained using linear coordinate substitutions. There are three of them. Then three non-linear normal forms were obtained for the full polynomial. A simplification of the computation of the normal form is proposed. A meaningful example is considered.

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