Regularity and chaos in recurrent fuzzy systems.

DOI10.1016/S0165-0114(02)00526-2zbMath1040.93039MaRDI QIDQ1414804

Roland Kempf, Jürgen Adamy

Publication date: 4 December 2003

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

zbMATH Keywords

ChaosDynamical fuzzy systemsFuzzy automataLinguistic dynamicsRecurrent fuzzy systemsRecurrent neural nets

Mathematics Subject Classification ID

Fuzzy control/observation systems (93C42) Discrete-time control/observation systems (93C55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (12)

Fuzzy control of continuous-time recurrent fuzzy systems ⋮ Sequential pattern recognition employing recurrent fuzzy systems ⋮ A fuzzy-neural multi-model for nonlinear systems identification and control ⋮ Equilibria of continuous-time recurrent fuzzy systems ⋮ Qualitative modeling of dynamical systems employing continuous-time recurrent fuzzy systems ⋮ Equilibria of recurrent fuzzy systems ⋮ Simulation of fuzzy dynamical systems using the LU-representation of fuzzy numbers ⋮ Modeling with discrete-time recurrent fuzzy systems via mixed-integer optimization ⋮ Soft variable-structure controls: a survey ⋮ Approximation and robustness of fuzzy finite automata ⋮ Dynamics of functions with piecewise non-positive Schwarzian derivatives ⋮ Fuzzy feedback system analysis using transition matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Chaotic iterations of fuzzy sets
• Dynamics in one dimension
• Iterated fuzzy set systems: A new approach to the inverse problem for fractals and other sets
• A fuzzy relational equation in dynamic fuzzy systems
• A limit theorem in some dynamic fuzzy systems
• Complex dynamics in a threshold advertising model
• Chaos in iterated fuzzy systems
• There are no piecewise linear maps of type 2^{∞}
• ω-Chaos and Topological Entropy
• Fuzzy identification of systems and its applications to modeling and control
• Chaotic Functions with Zero Topological Entropy
• Period Three Implies Chaos
• Chaos in Atomic Physics
• The role of synchronization in digital communications using chaos. II. Chaotic modulation and chaotic synchronization
• On Ω-limit Sets of Discrete-time Dynamical Systems
• Simple mathematical models with very complicated dynamics
• A Formulation of Fuzzy Automata and Its Application as a Model of Learning Systems

This page was built for publication: Regularity and chaos in recurrent fuzzy systems.