Bridge the Gap between the Lorenz System and the Chen System

By Jinhu Lu, Guanrong Chen, DaiZhan Cheng, Sergej Celikovský. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2002

876 citations recorded by the source corpus.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0af636c9f82b18aa59d6967aa71684475558d710

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Citations in the corpus

Estimating the ultimate bound and positively invariant set for the Lorenz system and a unified chaotic system (2006, positive): “To that end, Lü et al. introduced a uniﬁed chaotic system [5], which describes a large family of chaotic systems containing the Lorenz and Chen systems as two extremes and the Lü system as a transition in between.”
A New Chaotic System and Beyond: the Generalized Lorenz-like System (2004, methodology): “…chaotic dynamics in engineering applications, where some attention has been focused on effectively creating chaos via simple physical systems such as electronic circuits [Tang et al., 2001; Wang & Chen, 2000] and switching piecewise-linear controllers [Lü et al., 2002f; Lü et al., 2003].”
Finite-time chaos synchronization of unified chaotic system with uncertain parameters (2009, background): “[19] calls (10) as unified chaotic system because system (10) is chaotic for any a 2 1⁄20;1 .”
On hybrid impulsive and switching systems and application to nonlinear control (2005, background): “3, we consider the control problem for a benchmark nonlinear chaotic system which includes the Lorenz system and Chen’s system as special cases [17], i.”
Exponential synchronization of nonlinearly coupled complex networks with hybrid time-varying delays via impulsive control (2016, background): “First of all, we consider a hybrid delay nonlinearly coupled network (1) with 5 coupled nodes in which each dynamical node is a delayed chaotic system [32].”
Generating multiscroll Chaotic attractors: Theories, Methods and Applications (2006, methodology): “Unidirectionally coupled synchronization of multiscroll chaotic attractors Yu et al. [2004b] produced a unidirectionally coupled synchronization scheme for n-scroll chaotic attractors from the 4D modified Chua’s circuit [Chen & Lü, 2002; Lü et al., 2002g; Makoto et al., 1999].”