The Rikitake two-disk dynamo system and domains with periodic orbits
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Publication:1964581
DOI10.1023/A:1026640221874zbMath0980.86005OpenAlexW104897060MaRDI QIDQ1964581
Yorick Hardy, Willi-Hans Steeb
Publication date: 20 February 2000
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1026640221874
Related Items (20)
Dynamical analysis of a new autonomous 3-D chaotic system only with stable equilibria ⋮ A new chaotic system with fractional order and its projective synchronization ⋮ COMPETITIVE MODES AND THEIR APPLICATION ⋮ On asymptotically stabilizing the Rikitake two-disk dynamo dynamics ⋮ ESTIMATION OF THE DOMAIN CONTAINING ALL COMPACT INVARIANT SETS OF THE OPTICALLY INJECTED LASER SYSTEM ⋮ BOUNDS FOR THE SET CONTAINING ALL COMPACT INVARIANT SETS OF THE LINEARLY COUPLED LASER SYSTEM ⋮ Darboux integrability and algebraic invariant surfaces for the Rikitake system ⋮ Localization of periodic orbits of the Rössler system under variation of its parameters ⋮ A RIKITAKE TYPE SYSTEM WITH QUADRATIC CONTROL ⋮ Dynamical analysis of the generalized Sprott C system with only two stable equilibria ⋮ Localization of periodic orbits of polynomial vector fields of even degree by linear functions ⋮ Localization of periodic orbits of polynomial systems by ellipsoidal estimates ⋮ A Hamiltonian look at the Rikitake two-disk dynamo system ⋮ Bounds for compact invariant sets of the system describing dynamics of the nuclear spin generator ⋮ Bounds for a new chaotic system and its application in chaos synchronization ⋮ On a deformed version of the two-disk dynamo system. ⋮ Hamilton-Poisson realizations of the integrable deformations of the Rikitake system ⋮ Global dynamics of the Rikitake system ⋮ A global geometric decomposition of vector fields and applications to topological conjugacy ⋮ Integrable deformations, bi-Hamiltonian structures and nonintegrability of a generalized Rikitake system
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