Results 121 to 130 of about 178 (161)

Correlated Eigenvalues of Multi-Soliton Optical Communications. [PDF]

open access: yesSci Rep, 2019
Zhang WQ   +7 more
europepmc   +1 more source

Darboux integrability of a nonlinear financial system

Applied Mathematics and Computation, 2011
The author studies a nonlinear system with some parameters considered by Junhai and Chen (2001) (a system of nonlinear autonomous ordinary differential equations in \(\mathbb R^2\)) describing the time variations of three state variables: the interest rate, the investment demand, and the price index.
Claudia Valls
exaly   +3 more sources

EXPONENTIAL FACTORS AND DARBOUX INTEGRABILITY FOR THE RÖSSLER SYSTEM

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2004
We characterize all generators of the exponential factors for the Rössler system by using weight homogeneous polynomials and the method of characteristic curves for solving linear partial differential equations. Moreover, using Darboux polynomials and exponential factors we obtain the necessary and sufficient conditions in order that the Rössler ...
Xiang Zhang
exaly   +3 more sources

On Construction of Darboux integrable discrete models

Reports on Mathematical Physics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zheltukhin, Kostyantyn   +1 more
openaire   +2 more sources

DARBOUX INTEGRABILITY FOR THE RÖSSLER SYSTEM

International Journal of Bifurcation and Chaos, 2002
In this note we characterize all generators of Darboux polynomials of the Rössler system by using weight homogeneous polynomials and the method of characteristic curves for solving linear partial differential equations. As a corollary we prove that the Rössler system is not algebraically integrable, and that every rational first integral is a rational
Jaume Llibre, Xiang Zhang 0009
openaire   +1 more source

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