Global bifurcations in fractional-order chaotic systems with an extended generalized cell mapping method

DOI10.1063/1.4958718zbMath1378.34017OpenAlexW2485780535WikidataQ88250105 ScholiaQ88250105MaRDI QIDQ4601344

Jun Jiang, Ling Hong, Xiao-Jun Liu

Publication date: 15 January 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4958718

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Fractional ordinary differential equations (34A08)

Related Items (10)

Metaheuristic optimization-based identification of fractional-order systems under stable distribution noises ⋮ The response analysis of fractional-order stochastic system via generalized cell mapping method ⋮ Chaotic vibration, bifurcation, stabilization and synchronization control for fractional discrete-time systems ⋮ Identification of fractional-order systems with unknown initial values and structure ⋮ Dynamic analysis of piecewise nonlinear systems with fractional differential delay feedback control ⋮ Global Analysis of Stochastic Systems by the Digraph Cell Mapping Method Based on Short-Time Gaussian Approximation ⋮ Studying the Global Bifurcation Involving Wada Boundary Metamorphosis by a Method of Generalized Cell Mapping with Sampling-Adaptive Interpolation ⋮ Taming stochastic bifurcations in fractional-order systems via noise and delayed feedback ⋮ Bifurcations of a new fractional-order system with a one-scroll chaotic attractor ⋮ An improved cell mapping method based on dimension-extension for fractional systems

Uses Software

• Fractional Order Chaotic Systems

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