Analysis of the Van der Pol Oscillator Containing Derivatives of Fractional Order

By Ramiro S. Barbosa, J. Machado, Blas M. Vinagre, Antonio José Calderón. 2007

166 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4faba1770462dd9cdc672c7b200cab6124c2752c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. G. Diaz
2. Carlos F. M. Coimbra
3. Eva Kaslik
4. Seenith Sivasundaram
5. Behrouz Parsa Moghaddam

In Modeling and Simulation

1. G. Diaz
2. Carlos F. M. Coimbra
3. Eva Kaslik
4. Seenith Sivasundaram
5. Behrouz Parsa Moghaddam

In Statistical and Nonlinear Physics

1. G. Diaz
2. Carlos F. M. Coimbra
3. Eva Kaslik
4. Seenith Sivasundaram

Citations in the corpus

• Nonlinear dynamics and control of a variable order oscillator with application to the van der Pol equation (2009, methodology): “Fractional order derivatives have also been applied to the analysis of the van der Pol equation [20, 21].”
• Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions☆ (2011, methodology): “Even though, based on Corollary 3, exact periodic solutions do not exist in autonomous fractional-order systems, oscillatory behavior (limit cycles) has been observed by numerical simulations in many systems such as: a fractional-order Van der Pol system [6], fractional-order Chua and Chen’s systems”