We present a new approach to establish the existence of a unique limit cycle for the van der Pol equation in case of large damping which is hyperbolic and stable. The proof is based on a linear time scaling (instead of the nonlinear Liénard transformation), on a Dulac--Cherkas function and the property of rotating vector fields
The thesis is on the limit cycle in nonlinear dynamics systems. To begin, I mention a nonlinear syst...
AbstractWe give a geometric analysis of relaxation oscillations and canard cycles in singularly pert...
We use Melnikov function techniques together with geometric methods of bifurcation theory to study t...
We present a new approach to establish the existence of a unique limit cycle for the van der Pol equ...
We have applied the Lindstedt-Poincaré method to study the limit cycle of the van der Pol oscillator...
Using numerical modeling, oscillograms and phase trajectories were constructed to study the limit cy...
This paper deals with limit cycles in one degree of freedom systems. The van der Pol equation is an ...
We present a new approach for the global bifurcation analysis of limit cycles for a generalized van ...
The limit cycle of the van der Pol oscillator, x¨+ε(x2−1)x˙+x=0, is studied in the plane (x,x˙) by a...
The robustness of limit cycles of nonlinear dynamical systems is investigated by adding a small rand...
A power series expansion in the damping parameter, epsilon, of the limit cycle of the free van der P...
This is the second in a series of papers about the dynamics of the forced van der Pol oscillator [J....
. A power series expansion in the damping parameter E of the limit cycle U(t; E) of the free van der...
summary:In the paper, we give an existence theorem of periodic solution for Liénard equation $\dot{x...
We investigate the dynamics of a driven Van der Pol–Duffing oscillator circuit and show the existenc...
The thesis is on the limit cycle in nonlinear dynamics systems. To begin, I mention a nonlinear syst...
AbstractWe give a geometric analysis of relaxation oscillations and canard cycles in singularly pert...
We use Melnikov function techniques together with geometric methods of bifurcation theory to study t...
We present a new approach to establish the existence of a unique limit cycle for the van der Pol equ...
We have applied the Lindstedt-Poincaré method to study the limit cycle of the van der Pol oscillator...
Using numerical modeling, oscillograms and phase trajectories were constructed to study the limit cy...
This paper deals with limit cycles in one degree of freedom systems. The van der Pol equation is an ...
We present a new approach for the global bifurcation analysis of limit cycles for a generalized van ...
The limit cycle of the van der Pol oscillator, x¨+ε(x2−1)x˙+x=0, is studied in the plane (x,x˙) by a...
The robustness of limit cycles of nonlinear dynamical systems is investigated by adding a small rand...
A power series expansion in the damping parameter, epsilon, of the limit cycle of the free van der P...
This is the second in a series of papers about the dynamics of the forced van der Pol oscillator [J....
. A power series expansion in the damping parameter E of the limit cycle U(t; E) of the free van der...
summary:In the paper, we give an existence theorem of periodic solution for Liénard equation $\dot{x...
We investigate the dynamics of a driven Van der Pol–Duffing oscillator circuit and show the existenc...
The thesis is on the limit cycle in nonlinear dynamics systems. To begin, I mention a nonlinear syst...
AbstractWe give a geometric analysis of relaxation oscillations and canard cycles in singularly pert...
We use Melnikov function techniques together with geometric methods of bifurcation theory to study t...
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