Dynamical structure functions at critical bifurcations in a Bonhoeffer-van der Pol equation.

DOI10.1016/S0960-0779(96)00046-XzbMath1080.37542OpenAlexW1981515196MaRDI QIDQ815624

N. E. Zubov

Publication date: 17 February 2006

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(96)00046-x

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (2)

Invariant manifolds of the Bonhoeffer-van der Pol oscillator ⋮ Variation of certain statistical quantities near critical bifurcations

Cites Work

• Unnamed Item
• Period-doubling bifurcations, chaos, phase-locking and devil's staircase in a Bonhoeffer-van der Pol oscillator
• Prediction of horseshoe chaos in BVP and DVP oscillators
• \(\omega\)-limit sets for axiom A diffeomorphisms
• Algorithms for controlling chaotic motion: Application for the BVP oscillator
• Variation of Lyapunov exponents on a strange attractor
• Memory characteristic of locally deforming nature in chaos
• Rigorous verification of trajectories for the computer simulation of dynamical systems
• Shadowing of physical trajectories in chaotic dynamics: Containment and refinement
• Invariant spectra of orbits in dynamical systems

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