Bifurcation analysis of Chen’s equation. (English) Zbl 1090.37531

Summary: Anticontrol of chaos by making a nonchaotic system chaotic has led to the discovery of some new chaotic systems, particularly the continuous-time three-dimensional autonomous Chen equation with only two quadratic terms. This paper further investigates some basic dynamical properties and various bifurcations of Chen’s equation, thereby revealing its different features from some other chaotic models such as its origin, the Lorenz system.


37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
34C23 Bifurcation theory for ordinary differential equations
34C28 Complex behavior and chaotic systems of ordinary differential equations
Full Text: DOI


[1] DOI: 10.1142/S0218127498001236 · Zbl 0941.93522 · doi:10.1142/S0218127498001236
[2] DOI: 10.1142/S0218127499001024 · Zbl 0962.37013 · doi:10.1142/S0218127499001024
[3] DOI: 10.1142/S0218127499000985 · Zbl 0964.93039 · doi:10.1142/S0218127499000985
[4] DOI: 10.1142/S0218127400001250 · doi:10.1142/S0218127400001250
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.