DETECTION OF CHAOS IN SOME LOCAL REGIONS OF PHASE PORTRAITS USING SHANNON ENTROPIES

DOI10.1142/S0218127404010023zbMath1084.37511MaRDI QIDQ4669003

Bingo Wing-Kuen Ling, Charlotte Yuk-Fan Ho, Peter K. S. Tam

Publication date: 15 April 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Shannon entropysymbolic sequenceschaotic behaviorssecond-order digital filtertwo's complement arithmetic

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40) Symbolic dynamics (37B10)

Cites Work

• Autonomous response of a third-order digital filter with two's complement arithmetic realized in parallel form
• Properties of admissible symbolic sequences in a second-order digital filter with overflow non-linearity
• Fractal pattern of second-order non-linear digital filters: A new symbolic analysis
• Chaos and fractals from third-order digital filters
• On symbolic dynamics of a chaotic second-order digital filter
• On chaos in digital filters: Case b = -1
• New results on periodic symbolic sequences of second order digital filters with two's complement arithmetic
• Chaotic behaviours of stable second-order digital filters with two's complement arithmetic
• Some New Trajectory Patterns and Periodic Behaviors of Unstable Second-Order Digital Filter with Two's Complement Arithmetic
• FURTHER INVESTIGATION ON CHAOS OF REAL DIGITAL FILTERS
• Autonomous response of a third-order digital filter with two's complement arithmetic realized in cascade form
• Sinusoidal response of a second-order digital filter with two's complement arithmetic

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