We analyze some mathematical problems that arise in studies of phenomena observed in the cardiac action. We illustrate a method to characterize the response of a nonlinear oscillator to an external forcing, and introduce some numerical results. We also introduce some results of numerical computation in an example of a coupled system of an excitable system and a nonlinear oscillator
Baier G, Hermann T, Müller M. Polyrhythmic Organization of Coupled Nonlinear Oscillators. In: School...
We perform a detailed study of the dynamics of a nonlinear, one-dimensional oscillator driven by a ...
We compare the dynamics of the periodically forced FitzHugh-Nagumo oscillator in its relaxation regi...
We analyze some mathematical problems that arise in studies of phenomena observed in the cardiac act...
We address in this article, how to calculate the restoring characteristic and the excitation of a no...
The subject is introduced by considering the treatment of oscillators in Mathematics from the simple...
In many engineering, physical, electrical, chemical, and biological systems, oscillatory behavior of...
Coherently driven, dissipative nonlinear oscillators,(driving kept permanently in phase with the osc...
AbstractThis paper investigates the emergence of autoresonance (AR) with growing energy in a chain o...
We study the dynamics of two conservative librating oscillators with perturbations from a linear dis...
Usually oscillators with periodic excitations show a periodic motion with frequency equal to the for...
The response of single and two-degree-of-freedom mechanical systems with elements exhibiting a hyste...
Abstract. A mathematical model for the perturbation of a biological oscillator by single and periodi...
The goal of this research is to explore criteria sufficient to produce oscillations, sample some dyn...
Physiological systems are amongst the most challenging systems to investigate from a mathematically...
Baier G, Hermann T, Müller M. Polyrhythmic Organization of Coupled Nonlinear Oscillators. In: School...
We perform a detailed study of the dynamics of a nonlinear, one-dimensional oscillator driven by a ...
We compare the dynamics of the periodically forced FitzHugh-Nagumo oscillator in its relaxation regi...
We analyze some mathematical problems that arise in studies of phenomena observed in the cardiac act...
We address in this article, how to calculate the restoring characteristic and the excitation of a no...
The subject is introduced by considering the treatment of oscillators in Mathematics from the simple...
In many engineering, physical, electrical, chemical, and biological systems, oscillatory behavior of...
Coherently driven, dissipative nonlinear oscillators,(driving kept permanently in phase with the osc...
AbstractThis paper investigates the emergence of autoresonance (AR) with growing energy in a chain o...
We study the dynamics of two conservative librating oscillators with perturbations from a linear dis...
Usually oscillators with periodic excitations show a periodic motion with frequency equal to the for...
The response of single and two-degree-of-freedom mechanical systems with elements exhibiting a hyste...
Abstract. A mathematical model for the perturbation of a biological oscillator by single and periodi...
The goal of this research is to explore criteria sufficient to produce oscillations, sample some dyn...
Physiological systems are amongst the most challenging systems to investigate from a mathematically...
Baier G, Hermann T, Müller M. Polyrhythmic Organization of Coupled Nonlinear Oscillators. In: School...
We perform a detailed study of the dynamics of a nonlinear, one-dimensional oscillator driven by a ...
We compare the dynamics of the periodically forced FitzHugh-Nagumo oscillator in its relaxation regi...