Painlevé's analysis, integrability and detecting chaos-order-chaos transition by the SALI and mLE methods of three-dimensional Armbruster Guckenheimer Kim galactic potential

Chatar, Walid; Kharbach, J.; Benkhali, Mohamed; Ghamari, Mohammed El; Benmalek, Mohamed; Rezzouk, A.; Ouazzani-Jamil, Mohammed

doi:10.1016/j.physleta.2021.127331

Physics Letters A

2021

DOI: 10.1016/j.physleta.2021.127331

|View full text |Cite

Painlevé's analysis, integrability and detecting chaos-order-chaos transition by the SALI and mLE methods of three-dimensional Armbruster Guckenheimer Kim galactic potential

Walid Chatar

J. Kharbach

Mohamed Benkhali

et al.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

2024

Publication Types

Select...

Article4

Relationship

Self Cite0

Independent4

Authors

Journals

Cited by 4 publications

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

3D homogeneous potentials producing isoenergetic families of orbits: An application to galactic dynamics

Kotoulas

2022

Astron Nachr

View full text Add to dashboard Cite

In the light of the inverse problem of Newtonian dynamics, we study three‐dimensional homogeneous potentials V=Vfalse(x,y,zfalse) of degree m producing a given two‐parametric family of regular orbits. Especially, we are interested in isoenergetic families of orbits, that is, families of orbits, which are described with constant energy ℰ=normalℰ0 by a test particle of unit mass. First, we offer the criteria, which must be fulfilled by the given family of regular orbits so that it can be created by such a potential. Second, we examine special cases, for example, normalℰ0=0, and we present families of orbits, which are generated by genuine 3D potentials. Finally, applications to galactic models are also given.

show abstract

3D homogeneous potentials producing isoenergetic families of orbits: An application to galactic dynamics

Kotoulas

2022

Astron Nachr

View full text Add to dashboard Cite

show abstract

A fully integrated chaos generator based on voltage controlled oscillator

Duan

Wang

et al. 2022

Microelectronics Journal

View full text Add to dashboard Cite

Implementation of a fully integrated memristive Chua’s chaotic circuit with a voltage-controlled oscillator

Duan,

Zhang,

et al. 2024

Integration

View full text Add to dashboard Cite

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Painlevé's analysis, integrability and detecting chaos-order-chaos transition by the SALI and mLE methods of three-dimensional Armbruster Guckenheimer Kim galactic potential

Cited by 4 publications

References 40 publications

3D homogeneous potentials producing isoenergetic families of orbits: An application to galactic dynamics

3D homogeneous potentials producing isoenergetic families of orbits: An application to galactic dynamics

A fully integrated chaos generator based on voltage controlled oscillator

Implementation of a fully integrated memristive Chua’s chaotic circuit with a voltage-controlled oscillator

Contact Info

Product

Resources

About