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Abstract
We consider the Sprott cubic conservative jerk differential equation (formula presented), with a ∈ R. It is known that this differential equation exhibits chaotic motion for some values of the parameter a. Here, we study when this differential equation has no chaotic motion, i.e. when it has first integrals, and then we describe its dynamics.
| Original language | English |
|---|---|
| Journal | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering |
| Volume | 34 |
| Issue number | 16 |
| DOIs | |
| Publication status | Published - 2024 |
Keywords
- First integrals
- Invariant algebraic surfaces
- Exponential factors
- Sprott cubic conservative jerk system
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Dive into the research topics of 'On the Integrability of the Sprott Cubic Conservative Jerk System'. Together they form a unique fingerprint.Projects
- 1 Finished
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STUDY OF CONTINUOUS AND DISCRETE DYNAMIC SYSTEMS WITH EMPHASIS ON THEIR BIFURCATIONS, PERIODIC ORBITS AND INTEGRABILITY
Llibre Salo, J. (Principal Investigator), Torregrosa i Arús, J. (Co-Investigador/a Principal), Cufi Cabre, C. (Collaborator), Carvalho, Y. R. (Collaborator), Cousillas, G. (Collaborator), Diz Pita, É. (Collaborator), Ferragut Amengual, A. M. (Collaborator), GOUVEIA, L. F. D. S. (Collaborator), Iván Sánchez Sánchez (Collaborator), Jiménez Ruíz, J. J. (Collaborator), RODERO, A. L. (Collaborator), Ramírez, V. (Collaborator), Artes Ferragud, J. C. (Investigator), Caubergh , M. M. (Investigator), Cima Mollet, A. M. (Investigator), Corbera Subirana, M. (Investigator), Cors Iglesias, J. M. (Investigator), Gasull Embid, A. (Investigator), Pantazi ., C. (Investigator), Soler Villanueva, J. (Investigator), Garrido Pelaez, J. M. (Collaborator) & Valls Anglés, C. (Collaborator)
1/06/20 → 29/02/24
Project: Research Projects and Other Grants