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DETECTING PERIODIC ORBITS IN SOME 3D CHAOTIC QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS
(Amer Inst Mathematical Sciences-aims, 2016-01-01)
Using the averaging theory we study the periodic solutions and their linear stability of the 3-dimensional chaotic quadratic polynomial differential systems without equilibria studied in [3]. All these differential systems ...
Convergence Criterium of Numerical Chaotic Solutions Based on Statistical Measures
(Scientific Research Publishing, 2011-04)
Solutions of most nonlinear differential equations have to be obtained numerically. The time series obtained by numerical integration will be a solution of the differential equation only if it is independent of the integration ...
On nonlinear dynamics in a free fluid surface of a tank excited by a non-ideal power source
(2011-12-01)
We investigate the nonlinear oscillations in a free surface of a fluid in a cylinder tank excited by non-ideal power source, an electric motor with limited power supply. We study the possibility of parametric resonance in ...
On nonlinear dynamics in a free fluid surface of a tank excited by a non-ideal power source
(2011-12-01)
We investigate the nonlinear oscillations in a free surface of a fluid in a cylinder tank excited by non-ideal power source, an electric motor with limited power supply. We study the possibility of parametric resonance in ...
High-frequency chaotic solutions for a slowly varying dynamical system
(CAMBRIDGE UNIVERSITY PRESS, 2006)
High frequency chaotic solutions for a slowly varying dynamical system
(CAMBRIDGE UNIVERSITY PRESS, 2006)
High-frequency chaotic solutions for a slowly varying dynamical system
(CAMBRIDGE UNIV PRESS, 2006-04)
In this article we study the asymptotic dynamics of highly oscillatory solutions for the unbalanced Allen-Cahn equation with a slowly varying coefficient. We describe the underlying structure of these solutions through a ...
A short review of phase transition in a chaotic system
(2021-01-01)
The subject approached here is a dynamical phase transition observed in Hamiltonian systems, which is a transition from integrability to non-integrability. Using the dynamics defined by a discrete mapping on the variables ...