Results 241 to 250 of about 12,183,826 (272)
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Complex dynamics in Chen’s system
Chaos, Solitons & Fractals, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang, Yu, Chen, Guanrong
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A Note on Hopf Bifurcation in Chen's System
International Journal of Bifurcation and Chaos, 2003In this technical note, the Hopf bifurcation in Chen's system is studied. Some corresponding dynamics are also discussed briefly.
Changpin Li, Guanrong Chen
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INVARIANT ALGEBRAIC SURFACES OF THE CHEN SYSTEM
International Journal of Bifurcation and Chaos, 2011In this paper, enlightened by the idea of the weight of a polynomial introduced by Swinnerton-Dyer [2002], we find all the invariant algebraic surfaces of the Chen system x′ = a(y - x), y′ = (c - a)x + cy - xz, z′ = xy - bz.
Xijun Deng, Aiyong Chen
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ANALYSIS OF STOCHASTIC CYCLES IN THE CHEN SYSTEM
International Journal of Bifurcation and Chaos, 2010We study the stochastically forced Chen system in its parameter zone under the transition to chaos via period-doubling bifurcations. We suggest a stochastic sensitivity function technique for the analysis of stochastic cycles. We show that this approach allows to construct the dispersion ellipses of random trajectories for any Poincaré sections, and ...
Irina A. Bashkirtseva +2 more
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Jacobi Stability Analysis of the Chen System
International Journal of Bifurcation and Chaos, 2019In this paper, the research of the Jacobi stability of the Chen system is performed by using the KCC-theory. By associating a nonlinear connection and a Berwald connection, five geometrical invariants of the Chen system are obtained. The Jacobi stability of the Chen system at equilibrium points and a periodic orbit is investigated in terms of the ...
Qiujian Huang, Aimin Liu, Yongjian Liu
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ON HOMOCLINIC AND HETEROCLINIC ORBITS OF CHEN'S SYSTEM
International Journal of Bifurcation and Chaos, 2006We study the problem of existence of homoclinic and heteroclinic orbits of Chen's system. For the case of 2c > a > c > 0 and b ≥ 2a, we prove that the system has no homoclinic orbit but has two and only two heteroclinic orbits.
Tiecheng Li, Guoting Chen, Guanrong Chen
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International Journal of Bifurcation and Chaos, 2018
In this work, a simple comparative analysis on the Lorenz and the Chen systems is presented, in order to understand some aspects that make these two systems distinct from one another.
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In this work, a simple comparative analysis on the Lorenz and the Chen systems is presented, in order to understand some aspects that make these two systems distinct from one another.
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Control of multi-scroll Chen system
Journal of the Franklin Institute, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Souhila Hadef, Abdelkrim Boukabou
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CONTROLLING IN BETWEEN THE LORENZ AND THE CHEN SYSTEMS
International Journal of Bifurcation and Chaos, 2002This letter investigates a new chaotic system and its role as a joint function between two complex chaotic systems, the Lorenz and the Chen systems, using a simple variable constant controller. With the gradual tuning of the controller, the controlled system evolves from the canonical Lorenz attractor to the Chen attractor through the new transition ...
Jinhu Lu 0001 +2 more
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A HYPERCHAOS GENERATED FROM CHEN'S SYSTEM
International Journal of Modern Physics C, 2006This paper presents a new hyperchaotic system, obtained by adding a controller to the second equation of the three-dimensional autonomous Chen's chaotic system. The hyper-chaos system undergoes a change from hyperchaos to limit cycle when the parameter varies.
Gao, Tiegang +3 more
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