A SUFFICIENT CONDITION FOR CHAOS IN THE GRADIENT MODEL WITH PERTURBATION METHOD FOR GLOBAL OPTIMIZATION

DOI10.1142/S0218127413501022zbMath1272.37021MaRDI QIDQ2849228

Keiji Tatsumi, Tetsuzo Tanino

Publication date: 17 September 2013

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

zbMATH Keywords

global optimizationsnap-back repellermetaheuristicsperturbationschaos dynamics

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Methods of reduced gradient type (90C52)

Related Items (3)

A Chaotic Particle Swarm Optimization Exploiting Snap-Back Repellers of a Perturbation-Based System ⋮ A Weaker Sufficient Condition for the Chaoticity of Extended Perturbation-Based Updating System for Global Optimization ⋮ A Perturbation Based Chaotic System Exploiting the Quasi-Newton Method for Global Optimization

Cites Work

• Chaos embedded particle swarm optimization algorithms
• Chaos generator exploiting a gradient model with sinusoidal perturbations for global optimization
• Euler's finite difference scheme and chaos in \(R^ n\)
• Global optimization using a synchronization of multiple search points autonomously driven by a chaotic dynamic model
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• An improved version of the Marotto theorem
• A hybrid chaotic genetic algorithm for short-term hydro system scheduling
• Application of chaos in simulated annealing
• Improved particle swarm optimization combined with chaos
• DISTURBANCE CHAOTIC ANT SWARM
• A neural network model as a globally coupled map and applications based on chaos

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