Controlling chaos to store information in delay-differential equations

DOI10.1016/0375-9601(95)00555-HzbMath1020.34510OpenAlexW2088243226MaRDI QIDQ1965684

André Longtin, Boualem Mensour

Publication date: 8 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(95)00555-h

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (11)

Delay-differential equation versus 1D-map: application to chaos control ⋮ Organization and identification of solutions in the time-delayed Mackey-Glass model ⋮ Power spectra and dynamical invariants for delay-differential and difference equations ⋮ An experimental study of storing information in a controlled chaotic system with time-delayed feedback ⋮ Networks of delay differential equations and associative memories ⋮ Selective stabilisation of very long unstable periodic orbits in chaotic systems. ⋮ GLOBAL EXISTENCE OF PERIODIC SOLUTIONS IN THE LINEARLY COUPLED MACKEY–GLASS SYSTEM ⋮ THE ONSET OF MACKEY–GLASS LEUKEMIA AT THE EDGE OF CHAOS ⋮ Anticipated synchronization in coupled chaotic maps with delays ⋮ Global exponential stability in Lagrange sense for recurrent neural networks with time delays ⋮ CHAOTIFICATION OF A NONLINEAR VIBRATION ISOLATION SYSTEM BY DUAL TIME DELAYED FEEDBACK CONTROL

Cites Work

• High-dimensional chaotic behavior in systems with time-delayed feedback
• Chaotic attractors of an infinite-dimensional dynamical system
• Local Lyapunov exponents computed from observed data
• Solution multistability in first‐order nonlinear differential delay equations
• Ergodic theory of chaos and strange attractors

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