Variation of certain statistical quantities near critical bifurcations

DOI10.1016/S0960-0779(98)00238-0zbMath0985.37044OpenAlexW2045561820MaRDI QIDQ1573974

V. Chinnathambi, Shanmuganathan Rajasekar

Publication date: 9 August 2000

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(98)00238-0

zbMATH Keywords

logistic mapLyapunov exponentvan der Pol systemcritical bifurcations

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems involving maps of the interval (37E05) Dynamical aspects of statistical mechanics (37A60)

Related Items (1)

NUMERICAL INVESTIGATION OF D-BIFURCATIONS FOR A STOCHASTIC DELAY LOGISTIC EQUATION

Cites Work

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• Dynamical structure functions at critical bifurcations in a Bonhoeffer-van der Pol equation.
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• Stability and Lyapunov stability of dynamical systems: a differential approach and a numerical method
• Algorithms for controlling chaotic motion: Application for the BVP oscillator
• Variation of Lyapunov exponents on a strange attractor
• Scaling laws for invariant measures on hyperbolic and nonhyperbolic attractors.
• Statistical properties of chaos demonstrated in a class of one-dimensional maps
• Invariant spectra of orbits in dynamical systems
• Simple mathematical models with very complicated dynamics

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