Averaging theory at any order for computing limit cycles of discontinuous piecewise differential systems with many zones

Limit cycles on piecewise smooth vector fields with coupled rigid centers

Carvalho, Tiago
Gonçalves, Luiz Fernando
Llibre, Jaume

January 2021

We provide an upper bound for the maximum number of limit cycles of the class of discontinuous piece...

On the number of limit cycles for discontinuous piecewise linear differential systems in R^2n with two zones

Llibre, Jaume
Rong, Feng

January 2013

Agraïments: The second author is partially supported by grant 11001172 from the National Natural Sci...

Maximum number of limit cycles for certain piecewise linear dynamical systems

Llibre, Jaume
Novaes, Douglas D.
Teixeira, Marco Antonio

January 2015

Agraïments: The second author was partially supported by a FAPESP Grant 2012/10231-7. The third auth...

Limit cycles of piecewise polynomial perturbations of higher dimensional lineal differential systems

Llibre, Jaume
Novaes, Douglas D.
Zeli, Iris O.

January 2020

The averaging theory has been extensively employed for studying periodic solutions of smooth and non...

On nonsmooth perturbations of nondegenerate planar centers

Novaes, Douglas D.

January 2014

Agraïments: Supported by a FAPESP-BRAZIL grant 2012/10231-7.We provide sufficient conditions for the...

Limit cycles of continuous and discontinuous piecewise-linear differential systems in R³

De Freitas, Bruno R.
Llibre, Jaume
Medrado, Joao Carlos

January 2018

We study the limit cycles of two families of piecewise-linear differential systems in R³ with two pi...

Limit cycles of piecewise polynomial differential systems with the discontinuity line xy = 0

Li, Tao
Llibre, Jaume

January 2021

In this paper we study the maximum number of limit cycles bifurcating from the periodic orbits of th...

Birth of limit cycles for a classe of continuous and discontinuous differential systems in (d 2)-dimension

Llibre, Jaume
Teixeira, Marco Antonio
Zeli, Iris O.

January 2016

Agraïments: FEDER/UNAB10-4E-378. The second author is partially supported by a FAPESP-BRAZIL grant 2...

On the birth of limit cycles for non-smooth dynamical systems

Llibre, Jaume
Novaes, Douglas D.
Teixeira, Marco Antonio

January 2015

Agraïments: The first author is partially supported by a FEDER-UNAB10-4E-378. The second author is p...

Limit cycles for discontinuous planar piecewise linear differential systems separated by an algebraic curve

Llibre, Jaume
Zhang, Xiang

January 2019

We study how to change the maximum number of limit cycles of the discontinuous piecewise linear diff...

Limit cycles of discontinuous piecewise polynomial vector fields

de Carvalho, Tiago
Llibre, Jaume
Tonon, Durval José.

January 2017

Agraïments: The first author is partially supported by a FAPESP/Brazil grant number 2014/02134-7, a ...

On the limit cycles of a class of piecewise linear differential systems in R^4 with two zones

Buzzi, Claudio
Llibre, Jaume
Medrado, Joao Carlos

January 2011

Agraïments: The first author is partially supported by a FAPESP-BRAZIL grant 07/06896-5. The first a...

Averaging theory at any order for computing limit cycles of discontinuous piecewise differential systems with many zones

Llibre, Jaume
Novaes, Douglas D.
Rodrigues, Camila A. B.

January 2021

Agraïments: The second author is supported by FAPESP grants 2015/02517-6, 2015/24841-0, and 2016/114...

On the limit cycles of a class of discontinuous piecewise linear differential systems

Llibre, Jaume
de Menezes, Lucyjane de A. S.

January 2020

In this paper we consider discontinuous piecewise linear differential systems whose discontinuity se...

Limit cycles in Filippov systems having a circle as switching manifold

Llibre, Jaume
Teixeira, Marco Antonio

January 2022

It is known that planar discontinuous piecewise linear differential systems separated by a straight ...

Limit cycles on piecewise smooth vector fields with coupled rigid centers

Carvalho, Tiago
Gonçalves, Luiz Fernando
Llibre, Jaume

January 2021

We provide an upper bound for the maximum number of limit cycles of the class of discontinuous piece...

On the number of limit cycles for discontinuous piecewise linear differential systems in R^2n with two zones

Llibre, Jaume
Rong, Feng

January 2013

Agraïments: The second author is partially supported by grant 11001172 from the National Natural Sci...

Maximum number of limit cycles for certain piecewise linear dynamical systems

Llibre, Jaume
Novaes, Douglas D.
Teixeira, Marco Antonio

January 2015

Agraïments: The second author was partially supported by a FAPESP Grant 2012/10231-7. The third auth...

Limit cycles of piecewise polynomial perturbations of higher dimensional lineal differential systems

Llibre, Jaume
Novaes, Douglas D.
Zeli, Iris O.

January 2020

The averaging theory has been extensively employed for studying periodic solutions of smooth and non...

On nonsmooth perturbations of nondegenerate planar centers

Novaes, Douglas D.

January 2014

Agraïments: Supported by a FAPESP-BRAZIL grant 2012/10231-7.We provide sufficient conditions for the...

Limit cycles of continuous and discontinuous piecewise-linear differential systems in R³

De Freitas, Bruno R.
Llibre, Jaume
Medrado, Joao Carlos

January 2018

We study the limit cycles of two families of piecewise-linear differential systems in R³ with two pi...

Limit cycles of piecewise polynomial differential systems with the discontinuity line xy = 0

Li, Tao
Llibre, Jaume

January 2021

In this paper we study the maximum number of limit cycles bifurcating from the periodic orbits of th...

Birth of limit cycles for a classe of continuous and discontinuous differential systems in (d 2)-dimension

Llibre, Jaume
Teixeira, Marco Antonio
Zeli, Iris O.

January 2016

Agraïments: FEDER/UNAB10-4E-378. The second author is partially supported by a FAPESP-BRAZIL grant 2...

On the birth of limit cycles for non-smooth dynamical systems

Llibre, Jaume
Novaes, Douglas D.
Teixeira, Marco Antonio

January 2015

Agraïments: The first author is partially supported by a FEDER-UNAB10-4E-378. The second author is p...

Limit cycles for discontinuous planar piecewise linear differential systems separated by an algebraic curve

Llibre, Jaume
Zhang, Xiang

January 2019

We study how to change the maximum number of limit cycles of the discontinuous piecewise linear diff...

Limit cycles of discontinuous piecewise polynomial vector fields

de Carvalho, Tiago
Llibre, Jaume
Tonon, Durval José.

January 2017

Agraïments: The first author is partially supported by a FAPESP/Brazil grant number 2014/02134-7, a ...

On the limit cycles of a class of piecewise linear differential systems in R^4 with two zones

Buzzi, Claudio
Llibre, Jaume
Medrado, Joao Carlos

January 2011

Agraïments: The first author is partially supported by a FAPESP-BRAZIL grant 07/06896-5. The first a...

Averaging theory at any order for computing limit cycles of discontinuous piecewise differential systems with many zones

Llibre, Jaume
Novaes, Douglas D.
Rodrigues, Camila A. B.

January 2021

Agraïments: The second author is supported by FAPESP grants 2015/02517-6, 2015/24841-0, and 2016/114...

On the limit cycles of a class of discontinuous piecewise linear differential systems

Llibre, Jaume
de Menezes, Lucyjane de A. S.

January 2020

In this paper we consider discontinuous piecewise linear differential systems whose discontinuity se...

Limit cycles in Filippov systems having a circle as switching manifold

Llibre, Jaume
Teixeira, Marco Antonio

January 2022

It is known that planar discontinuous piecewise linear differential systems separated by a straight ...

Limit cycles on piecewise smooth vector fields with coupled rigid centers

Carvalho, Tiago
Gonçalves, Luiz Fernando
Llibre, Jaume

January 2021

We provide an upper bound for the maximum number of limit cycles of the class of discontinuous piece...

On the number of limit cycles for discontinuous piecewise linear differential systems in R^2n with two zones

Llibre, Jaume
Rong, Feng

January 2013

Agraïments: The second author is partially supported by grant 11001172 from the National Natural Sci...

Maximum number of limit cycles for certain piecewise linear dynamical systems

Llibre, Jaume
Novaes, Douglas D.
Teixeira, Marco Antonio

January 2015

Agraïments: The second author was partially supported by a FAPESP Grant 2012/10231-7. The third auth...

Averaging theory at any order for computing limit cycles of discontinuous piecewise differential systems with many zones

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Averaging theory at any order for computing limit cycles of discontinuous piecewise differential systems with many zones

Abstract

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