Limitation of Perpetual Points for Confirming Conservation in Dynamical Systems

DOI10.1142/S0218127415501825zbMath1330.34081OpenAlexW2225216977MaRDI QIDQ5744113

Sajad Jafari, Seyed Mohammad Reza Hashemi Golpayegani, Fahimeh Nazarimehr, Julien Clinton Sprott

Publication date: 17 February 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127415501825

zbMATH Keywords

dissipationcoexisting attractorsconservative systemmultistabilityperpetual point

Mathematics Subject Classification ID

Asymptotic properties of solutions to ordinary differential equations (34D05) Attractors of solutions to ordinary differential equations (34D45)

Related Items (14)

Switching between Dissipative and Conservative Behaviors in a Modified Hyperchaotic System with the Variation of Its Parameter ⋮ New topological tool for multistable dynamical systems ⋮ Describing chaotic attractors: Regular and perpetual points ⋮ Simple Chaotic Flows with a Curve of Equilibria ⋮ Perpetual points and periodic perpetual loci in maps ⋮ A Tribute to J. C. Sprott ⋮ Hidden Attractor in a Passive Motion Model of Compass-Gait Robot ⋮ Are Perpetual Points Sufficient for Locating Hidden Attractors? ⋮ Hyperchaos in a conservative system with nonhyperbolic fixed points ⋮ A New Four-Dimensional Non-Hamiltonian Conservative Hyperchaotic System ⋮ Theorem and Observation About the Nature of Perpetual Points in Conservative Mechanical Systems ⋮ Five new 4-D autonomous conservative chaotic systems with various type of non-hyperbolic and lines of equilibria ⋮ Categorizing Chaotic Flows from the Viewpoint of Fixed Points and Perpetual Points ⋮ Perpetual Points: New Tool for Localization of Coexisting Attractors in Dynamical Systems

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