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GLOBAL DYNAMICS of THE LORENZ SYSTEM WITH INVARIANT ALGEBRAIC SURFACES
(World Scientific Publ Co Pte Ltd, 2010-10-01)
In this paper by using the Poincare compactification of R(3) we describe the global dynamics of the Lorenz system(x) over dot = s(-x + y), (y) over dot = rx - y - xz, (z) over dot = -bz + xy,having some invariant algebraic ...
Normal Forms for Polynomial Differential Systems in R-3 Having an Invariant Quadric and a Darboux Invariant
(World Scientific Publ Co Pte Ltd, 2015)
Locally nilpotent derivations and automorphism groups of certain Danielewski surfaces
(Academic Press Inc Elsevier Science, 2017)
We describe the set of all locally nilpotent derivations of the quotient ring K[X,Y, Z]/(f (X)Y - phi(X, Z)) constructed from the defining equation f (X)Y = phi(X, Z) of a generalized Danielewski surface in K-3 for a ...
GLOBAL DYNAMICS IN THE POINCARE BALL of THE CHEN SYSTEM HAVING INVARIANT ALGEBRAIC SURFACES
(World Scientific Publ Co Pte Ltd, 2012-06-01)
In this paper, we perform a global analysis of the dynamics of the Chen system(x) over dot = a(y - x), (y) over dot = (c - a)x - xz + cy, (z) over dot = xy - bz,where (x, y, z) is an element of R-3 and (a, b, c) is an ...
Simple generalization of Wisdom's perturbative method
(Kluwer Academic Publ, 1996-01-01)
A simple generalization of Wisdom's perturbative method, as originally proposed by Wisdom (1985), is obtained. Any number of resonant cosines can be handled and the method can also accommodate more involved disturbing ...
The two-loop massless (lambda/4!)phi(4) model in nontranslational invariant domain
(American Institute of Physics (AIP), 2006-05-01)
We study the (lambda/4!)phi(4) massless scalar field theory in a four-dimensional Euclidean space, where all but one of the coordinates are unbounded. We are considering Dirichlet boundary conditions in two hyperplanes, ...
Reversible Hamiltonian Liapunov center theorem
(2005-02-01)
We study the existence of periodic solutions in the neighbourhood of symmetric (partially) elliptic equilibria in purely reversible Hamiltonian vector fields. These are Hamiltonian vector fields with an involutory reversing ...
Treatment of root surface in delayed tooth replantation: a review of literature
(Wiley-Blackwell, 2008-06-01)
The time elapsed between a trauma and tooth replantation usually ranges from 1 to 4 h. The chances of root surface damage are higher when tooth replantation is not performed immediately or if the avulsed tooth is not stored ...
HOPF BIFURCATION FROM LINES of EQUILIBRIA WITHOUT PARAMETERS IN MEMRISTOR OSCILLATORS
(World Scientific Publ Co Pte Ltd, 2010-02-01)
The memristor is supposed to be the fourth fundamental electronic element in addition to the well-known resistor, inductor and capacitor. Named as a contraction for memory resistor, its theoretical existence was postulated ...
Anisotropy of crystallite growth during sintering of SnO2 xerogels
(1996-12-01)
The crytallite and pore-size evolution during isothermal sintering (400 ≤ T ≤ 700°C) of SnO2 xerogels was studied by X-ray line broadening and nitrogen adsorption-desorption isotherms. The experimental results show a strong ...