Practical stability of chaotic attractors

DOI10.1016/S0960-0779(97)00047-7zbMath0934.37031OpenAlexW2085690005MaRDI QIDQ1963226

John Brindley, Tomasz Kapitaniak

Publication date: 24 January 2000

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(97)00047-7

zbMATH Keywords

asymptotic stabilitychaotic attractorspractical stabilitypractical stability in finite time

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Generic properties, structural stability of dynamical systems (37C20)

Related Items (8)

Tracing control of chaos for the coupled dynamos dynamical system ⋮ Steady state locking in coupled chaotic systems. ⋮ Tracing control of chaos by driving the implanted parameter ⋮ Dynamics and chaos control in nonlinear electrostatic transducers ⋮ Dynamics of coupled Lorenz systems and its geophysical implications ⋮ Practical stability in dynamical systems ⋮ On the conjunction practical stability and controllability of large-scale impulsive control systems ⋮ Characterization of chaotic attractors at bifurcations in Murali--Lakshmanan--Chua's circuit and one-way coupled map lattice system

Cites Work

• On the concept of attractor
• The transition to chaotic attractors with riddled basins
• Birth of double-double scroll attractor in coupled Chua circuits
• A wait-and-reset strategy to synchronizing chaotic systems
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
• Analytical Method of Controlling Chaos in Duffing's Oscillator
• RIDDLED BASINS
• LOCALLY-INTERMINGLED BASINS OF ATTRACTION IN COUPLED CHUA’S CIRCUITS
• Controlling chaos
• Experimental observation of riddled behaviour (electronic system)
• Synchronization in chaotic systems

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