The attractor of an equation of Tricomi's type

Rogério Martins

doi:10.1016/j.jmaa.2008.01.017

The attractor of an equation of Tricomi's type

Rogério Martins

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

Consider the attractor A of an equation of pendulum type with friction driven by a constant torque. The results of M. Levi and also obtained independently by Q. Min, S. Xian, and Z. Jinyan show that if the friction coefficient is larger than a certain bound then A is homeomorphic to the circle. We shall study the bifurcation diagram of a particular class of equations of pendulum type and show that the bounds obtained before are optimal.

Original language	English
Pages (from-to)	1265-1270
Number of pages	6
Journal	Journal of Mathematical Analysis and Applications
Volume	342
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2008.01.017
Publication status	Published - 15 Jun 2008

Keywords

Attractor
Dissipative systems
Pendulum
Tricomi's equation

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abstract = "Consider the attractor A of an equation of pendulum type with friction driven by a constant torque. The results of M. Levi and also obtained independently by Q. Min, S. Xian, and Z. Jinyan show that if the friction coefficient is larger than a certain bound then A is homeomorphic to the circle. We shall study the bifurcation diagram of a particular class of equations of pendulum type and show that the bounds obtained before are optimal.",

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N2 - Consider the attractor A of an equation of pendulum type with friction driven by a constant torque. The results of M. Levi and also obtained independently by Q. Min, S. Xian, and Z. Jinyan show that if the friction coefficient is larger than a certain bound then A is homeomorphic to the circle. We shall study the bifurcation diagram of a particular class of equations of pendulum type and show that the bounds obtained before are optimal.

AB - Consider the attractor A of an equation of pendulum type with friction driven by a constant torque. The results of M. Levi and also obtained independently by Q. Min, S. Xian, and Z. Jinyan show that if the friction coefficient is larger than a certain bound then A is homeomorphic to the circle. We shall study the bifurcation diagram of a particular class of equations of pendulum type and show that the bounds obtained before are optimal.

KW - Attractor

KW - Dissipative systems

KW - Pendulum

KW - Tricomi's equation

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

The attractor of an equation of Tricomi's type

Abstract

Keywords

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