Period Doubling Bifurcation Point Detection Strategy with Nested Layer Particle Swarm Optimization

DOI10.1142/S0218127417501012zbMath1370.37138OpenAlexW2737228271MaRDI QIDQ5357144

Takuji Kousaka, H. Matsushita, Yusho Tomimura, H. Kurokawa

Publication date: 14 September 2017

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

Full work available at URL: https://doi.org/10.1142/s0218127417501012

zbMATH Keywords

discrete-time dynamical systemsbifurcation analysisparticle swarm optimization (PSO)bifurcation point detectioninitial value setup problem

Mathematics Subject Classification ID

Approximation methods and heuristics in mathematical programming (90C59) Additive difference equations (39A10) Computational methods for bifurcation problems in dynamical systems (37M20) Bifurcation theory for difference equations (39A28)

Related Items (1)

Saddle-node bifurcation parameter detection strategy with nested-layer particle swarm optimization

Cites Work

• Detecting unstable periodic orbits of nonlinear mappings by a novel quantum-behaved particle swarm optimization non-Lyapunov way
• Dynamics of unidirectionally coupled bistable Hénon maps
• The particle swarm optimization algorithm: Convergence analysis and parameter selection
• A two-dimensional mapping with a strange attractor
• Directing orbits of chaotic systems by particle swarm optimization
• Bifurcation of switched nonlinear dynamical systems
• Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters

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