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Computed chaos or numerical errors
Discrete numerical methods with finite time-steps represent a practical technique to solve initial-value problems involving nonlinear differential equations.
L.-S. Yao
doaj +5 more sources
Numerical and experimental exploration of phase control of chaos
A well-known method to suppress chaos in a periodically forced chaotic system is to add a harmonic perturbation. The phase control of chaos scheme uses the phase difference between a small added harmonic perturbation and the main driving to suppress chaos, leading the system to different periodic orbits.
Samuel Zambrano, E Allaria, I Leyva
exaly +7 more sources
COMPARATIVE STUDY OF VARIATIONAL CHAOS INDICATORS AND ODEs' NUMERICAL INTEGRATORS [PDF]
The reader can find in the literature a lot of different techniques to study the dynamics of a given system and also, many suitable numerical integrators to compute them. Notwithstanding the recent work of [Maffione et al., 2011b] for mappings, a detailed comparison among the widespread indicators of chaos in a general system is still lacking.
Pablo M Cincotta
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The Lyapunov exponent is primarily used to quantify the chaos of a dynamical system. However, it is difficult to compute the Lyapunov exponent of dynamical systems from a time series.
Kei Inoue
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An Empirical Test on Harrod’s Open Economy Dynamics
This paper has the objective to empirically test Harrod’s explanations of economic dynamics addressing both growth and business cycles. In particular we test Harrod’s speculation that opening the economy to foreign trade could lead to a ...
Giuseppe Orlando, Fabio Della Rossa
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Chaos in a Financial System with Fractional Order and Its Control via Sliding Mode
In this paper, the dynamical behaviors and chaos control of a fractional-order financial system are discussed. The lowest fractional order found from which the system generates chaos is 2.49 for the commensurate order case and 2.13 for the incommensurate
Paul Yaovi Dousseh +4 more
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Corrigendum to “Chaos in a Financial System with Fractional Order and Its Control via Sliding Mode”
In this paper, the dynamical behaviors and chaos control of a fractional-order financial system are discussed. The lowest fractional order found from which the system generates chaos is 2.49 for the commensurate order case and 2.57 for the incommensurate
Paul Yaovi Dousseh +4 more
doaj +1 more source
Chaos Control for Permanent Magnet Synchronous Motor with Disturbance
This paper research how to chaos control in permanent magnet synchronous motor (PMSM) with disturbance base on adaptive back stepping of error compensation.
S. Zhang, N. Wang
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Relevance of chaos in numerical solutions of quantum billiards [PDF]
20 Revtex pages, 10 Eps ...
Li, Baowen, Robnik, Marko, Hu, Bambi
openaire +2 more sources
Dual-frequency shift leads to chaos and beating in an erbium-doped fiber laser [PDF]
We present a dual-frequency shift scheme to produce chaos and beating in an erbium-doped fiber laser while we give this laser physics model including a photo attenuator absorbing the photon, where the absorption frequency of the photo attenuator can be ...
Yan Senlin
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