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20112026
most citedMatlab code for Lyapunov exponents of fractional order systems

190 citations · 716 across the 45 of their papers we have counts for

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7 papers · 1 filter

nlin.CD2011★ 13 cited

Synthesizing attractors of Hindmarsh-Rose neuronal systems

Marius-F. Danca, Qingyun Wang

In this paper a periodic parameter switching scheme is applied to the Hindmarsh-Rose neuronal system to synthesize certain attractors. Results show numerically, via computer graphi…

nlin.CD2011

Synthesizing the Lü attractor by parameter-switching

Marius-F. Danca

In this letter we synthesize numerically the Lü attractor starting from the generalized Lorenz and Chen systems, by switching the control parameter inside a chosen finite set of va…

nlin.CD2011

Chaotic behavior of a class of discontinuous dynamical systems of fractional-order

Marius-F. Danca

In this paper the chaos persistence in a class of discontinuous dynamical systems of fractional-order is analyzed. To that end, the Initial Value Problem is first transformed, by u…

nlin.CD2011★ 5 cited

Approach of a class of discontinuous dynamical systems of fractional order: existence of the solutions

Marius-F. Danca

In this letter we are concerned with the possibility to approach the existence of solutions to a class of discontinuous dynamical systems of fractional order. In this purpose, the…

nlin.CD2011★ 11 cited

A multistep algorithm for ODEs

Marius-F. Danca

The objective of this paper is to prove the convergence of a linear implicit multi-step numerical method for ordinary differential equations. The algorithm is obtained via Taylor a…

nlin.CD2011

Finding Attractors of Continuous-Time Systems by Parameter Switching

M. -F. Danca, M. Romera, G. Pastor +1

The review presents a parameter switching algorithm and his applications which allows numerical approximation of any attractor of a class of continuous-time dynamical systems depen…

nlin.CD2011★ 3 cited

Finding the Rikitake's attractors by parameter switching

M. -F. Danca, S. Codreanu

In this paper the attractors synthesis algorithm for a class of dissipative dynamical systems with hyperbolic equilibria, presented in [1], is applied to generate any attractor of…