2:1 Resonance in the delayed nonlinear Mathieu equation

By T. Morrison, Richard H. Rand. 2007

56 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Computer Networks and Communications

View Paper: https://www.semanticscholar.org/paper/7205fc17bd9840e7cc26844365e9c30367900dd8

How researchers see this paper

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

In Atomic and Molecular Physics, and Optics

1. Richard H. Rand
2. Tamás Insperger
3. S. Sah
4. Ivana Kovacic
5. Gábor Stépán

In Computer Networks and Communications

1. Richard H. Rand
2. S. Sah
3. Ivana Kovacic
4. Tamás Insperger
5. Gábor Stépán
6. Brian P. Mann
7. B. Balachandran
8. X. Long

Citations in the corpus

• On the Approximation of Delayed Systems by Taylor Series Expansion (2015, background): “If the coefficient of the delayed term is small [16], then the Taylor series approximation can also be valid for large delays as well.”
• Mathieu's Equation and Its Generalizations: Overview of Stability Charts and Their Features (2018, background): “as in many authors’ works (see, for example, Morrison and Rand [32], Atay [35], and Wirkus and Rand [36]), which results in the slow flow being ODEs rather than DDEs.”
• On the higher-order semi-discretizations for periodic delayed systems (2008, unknown): “[15].”