Strange Dynamics in a Fractional Derivative of Complex-Order Network of Chaotic Oscillators

DOI10.1142/S0218127415500030zbMath1309.34004MaRDI QIDQ5246668

Carla M. A. Pinto

Publication date: 22 April 2015

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

zbMATH Keywords

periodic solutionschaosHopf bifurcationquasiperiodic motionfractional derivativeperiod-doubling bifurcationperiod-halving bifurcation

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Symmetries, invariants of ordinary differential equations (34C14) Fractional derivatives and integrals (26A33) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Fractional ordinary differential equations (34A08)

Related Items (6)

Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations ⋮ Optimal approximation of analog PID controllers of complex fractional-order ⋮ Control and stability on chaotic convection in porous media with time delayed fractional orders ⋮ Coexistence of identical synchronization, antiphase synchronization and inverse full state hybrid projective synchronization in different dimensional fractional-order chaotic systems ⋮ Comparative simulations for solutions of fractional Sturm-Liouville problems with non-singular operators ⋮ Mittag-Leffler stability, control, and synchronization for chaotic generalized fractional-order systems

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