Bedingungen der Nicht-Oszillationsfähigkeit und der Oszillationsfähigkeit für die lineare Differentialgleichung dritter Ordnung
Behavior of forced asymmetric oscillators at resonance.
Boundedness and oscillatoriness of solutions of a nonlinear differential equation of the second order
Branching of periodic orbits from Kukles isochrones.
Chasse au canard. Ie partie.
Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations
A class of neutral nonlinear differential equations is studied. Various classifications of their eventually positive solutions are given. Necessary and/or sufficient conditions are then derived for the existence of these eventually positive solutions. The derivations are based on two fixed point theorems as well as the method of successive approximations.
Coexistence of singular and regular solutions for the equation of Chipot and Weissler.
Comments on “A new method for the explicit integration of Lotka-Volterra equations”.
Continuability, boundedness, and convergence to zero of solutions of a perturbed nonlinear ordinary differential equation
Decomposition solution for Duffing and Van der Pol oscillators.
Determination of coupled sway, roll, and yaw motions of a floating body in regular waves.
Devil's staircase route to chaos in a forced relaxation oscillator
We use one-dimensional techniques to characterize the Devil’s staircase route to chaos in a relaxation oscillator of the van der Pol type with periodic forcing term. In particular, by using symbolic dynamics, we give the behaviour for certain range of parameter values of a Cantor set of solutions having a certain rotation set associated to a rational number. Finally, we explain the phenomena observed experimentally in the system by Kennedy, Krieg and Chua (in [10]) related with the appearance of...
Disconjugate operators and related differential equations.
Dynamics of a system of nonlinear differential equations.
EKF-based dual synchronization of chaotic colpitts circuit and Chua’s circuit
In this paper, dual synchronization of a hybrid system containing a chaotic Colpitts circuit and a Chua’s circuit, connected by an additive white Gaussian noise (AWGN) channel, is studied via numeric simulations. The extended Kalman filter (EKF) is employed as the response system to achieve the dual synchronization. Two methods are proposed and investigated. The first method treats the combination of a Colpitts circuit and a Chua’s circuit as a higher- dimensional system, while the second method...
Energy decay estimates for Lienard's equation with quadratic viscous feedback.
Erratum to my paper: On the “Poincaré-Lyapunov”-like systems of three differential equations
Even periodic solutions of higher order duffing differential equations
By using Mawhin’s continuation theorem, the existence of even solutions with minimum positive period for a class of higher order nonlinear Duffing differential equations is studied.
Existence of periodic solutions for a semilinear ordinary differential equation.
Exponential stability via aperiodically intermittent control of complex-variable time delayed chaotic systems
This paper focuses on the problem of exponential stability analysis of uncertain complex-variable time delayed chaotic systems, where the parameters perturbation are bounded assumed. The aperiodically intermittent control strategy is proposed to stabilize the complex-variable delayed systems. By taking the advantage of Lyapunov method in complex field and utilizing inequality technology, some sufficient conditions are derived to ensure the stability of uncertain complex-variable delayed systems,...