Periodic and chaotic solutions for a nonlinear system arising from a nuclear spin generator

DOI10.1016/0960-0779(94)90118-XzbMath0812.34042OpenAlexW2069023361MaRDI QIDQ1342140

V. Pereyra

Publication date: 11 January 1995

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(94)90118-x

zbMATH Keywords

periodic solutionsstrange attractorsLorenz systemhomoclinic bifurcationsnuclear spin generatorintermittency routeperiodic-doubling bifurcationssystem of three first-order ordinary differential equationsTakens-Bogdanov bifurcation point

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nuclear physics (81V35) Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Attractors of solutions to ordinary differential equations (34D45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (18)

Global stabilization of some chaotic dynamical systems ⋮ Chaos anti-synchronization of two non-identical chaotic systems with known or fully unknown parameters ⋮ A Lyapunov-based direct adaptive controller for the suppression and synchronization of a perturbed nuclear spin generator chaotic system ⋮ Localized Excitations of (2+1)-Dimensional Korteweg-de Vries System Derived from a Periodic Wave Solution ⋮ The analysis of NSG system for existence of Si'lnikov chaos ⋮ Singularity Structure and Chaotic Behavior of the Homopolar Disk Dynamo ⋮ About the relationships among variables observed in the real world ⋮ On the gluing and ungluing of strange attractors in the study of the Lorenz system ⋮ Generalized synchronization of nuclear SPIN generator system ⋮ The complicated trajectory behaviors in the Lorenz equation ⋮ Analysis of a 3D chaotic system ⋮ Bounds for compact invariant sets of the system describing dynamics of the nuclear spin generator ⋮ Chaos in the fractional order nonlinear Bloch equation with delay ⋮ Computer-assisted verification of chaos in the model of nuclear spin generator ⋮ A generalization of Lotka-Volterra, GLV, systems with some dynamical and topological properties ⋮ Generalized Synchronization of Nuclear Spin Generator System and the Application in Secure Communication ⋮ Controlling chaotic behaviour for spin generator and Rössler dynamical systems with feedback control ⋮ Synchronization and adaptive synchronization of nuclear spin generator system

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