Fuzzy homoclinic orbits and commuting fuzzifications
Fuzzy homoclinic orbits and commuting fuzzifications are defined and studied. We study sufficient conditions, involving commuting fuzzifications, under which a crisp homoclinic orbit is preserved after fuzzification. We show the usual fuzzification is commuting and therefore preserves homoclinic orbits. Several examples are given regarding fuzzy homoclinic orbits and commuting fuzzifications. (c) 2005 Elsevier B.V. All rights reserved.
homoclinic orbit fuzzification triangular fuzzy number dynamical system analysis